GLMTHPT Esssential Maths Practice Tests

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1 / 26

The perimeter of this regular hexagon is 54cm. What is the value of x ?

Length of each side of a regular hexagon = perimeter / 6 = 54/6 = 9cm

So, x² = 9

x = 3

2 / 26

9000 - 3890 = ?

5100

5110

5111

5210

9000 - 3890 = 5110

3 / 26

A die has numbers labelled from 1 to 6. It is rolled twice

What is the probability of rolling a 6 both times?

1/24

1/6

1/36

1/12

1/30

When a die is rolled, there are 6 possible outcomes each time: 1,2,3,4,5,6

So, there is one favourable outcome ie. getting 6 each time.

Probability = Favourable outcomes / Possible outcomes = 1/6

Getting a 6 both times = 1/6 x 1/6 = 1/36

4 / 26

A school provided 6 water bottles to each student on a trip.
Each bottle contained 500 millilitres of water.
What was the total volume of water provided in litres?

300 litres

3kg

3000 litres

3 litres

30 litres

6 water bottles x 500 millilitres/bottle = 3000 millilitres = 3 litres.

5 / 26

What is the missing number in this sequence? 802 797 ? 787 782

788

791

793

792

794

The sequence decreases by 5 each step; the missing number between 797 and 787 is 792.

6 / 26

If a paint mixture uses red and blue paint in a ratio of 3:2 to make purple paint, how much blue paint is needed to use up 180 grams of red paint?

90 grams

120 grams

150 grams

60 grams

7 / 26

Work out VIII multiplied by IV.

XXXIV

XXXII

XXXVI

XXVIII

XXIV

VIII (8) x IV (4) = XXXII (32)

8 / 26

Work out XVIII multiplied by II.

XXXVIII

XXX

XXXVI

XXXIV

XXXII

XVIII (18) x II (2) = XXXVI (36)

9 / 26

All rows and columns of this grid add up to 35. Find ?

10 / 26

What is the weight of the bananas?

11Kg

11.2Kg

1.25Kg

2.25Kg

weight of bananas + 10Kg = 11.25Kg So, weight of bananas = 11.25Kg - 10Kg = 1.25Kg

11 / 26

Work out XIII multiplied by III.

XLIX

XXXIX

XXXVIII

XXXVII

XXXVI

XIII (13) x III (3) = XXXIX (39)

12 / 26

3³ x 4² x 6² is NOT the same as which of the following?

27 x 16 x 72

3³ x 2³ x 72

54 x 2³ x 6²

3² x 48 x 36

The value of 27 x 16 x 72 is 3³ x 4² x 6² x 2

which is NOT same as 3³ x 4² x 6²

13 / 26

4² x 5 x 6² is NOT the same as which of the following?

3² x 4² x 60

90 x 2³ x 4

80 x 36

2² x 3² x 80

40 x 2 x 36

14 / 26

What is the missing number in this sequence? 333 327 ? 315 309

321

323

320

322

317

The sequence decreases by 6 each step; the missing number between 327 and 315 is 321.

15 / 26

To prepare a homemade jam, you mix 4 parts strawberries, 1 part sugar, and 1 part pectin.
How much sugar is needed for 18 kg of this jam?

9kg

1kilogram

6kg

3kg

4kg

Total mixture = 18 kg.
Ratio = 4 parts strawberries, 1 part sugar, 1 part pectin (total 6 parts).
Amount of sugar = (18 kg / 6 parts) * 1 part = 3 kg.

16 / 26

35 x 98 = 3500 - ?

135

685

145

3500 is 35 x 100 (35 x 100) - (35 x 98) = 35 x 2 = 70

17 / 26

750 ÷ x = 250

x = ?

750

0.3

0.03

(x = 3) Dividing 750 by x gives 250, so x must be 3.

18 / 26

t – 40 = 80

t = ?

-40

-120

120

(t = 120) Adding 40 to 80 gives t.

19 / 26

What is the perimeter of this regular pentagon?

37cm

30cm

35cm

37.5cm

45cm

Perimeter of a regular pentagon = 5 x length of each side = 5 x 7.5 = 37.5cm

20 / 26

1 4 9 The three numbers above are alike in some ways. Select ONE of the following to say one way in which they are alike.

They are all prime numbers.

They are all two-figure numbers.

They are all even numbers.

They can all be divided exactly by 3.

They are all square numbers.

21 / 26

73 x 99 = 7300 - ?

183

173

723

7300 is 73 x 100 (73 x 100) - (73 x 99) = 73 x 1 = 73

22 / 26

Arrange these fractions from smallest to largest.

3/8, 1/2, 1/4, 5/6, 7/8

1/4, 1/2, 7/8, 5/6, 3/8

1/4, 3/8, 1/2, 5/6, 7/8

7/8, 5/6, 1/2, 3/8, 1/4

5/6, 7/8, 1/2, 3/8, 1/4

23 / 26

Jacob starts with the number 11.
Which of these instructions does not give him an answer of 30?

Double your value, then add eight

Subtract five- then double

Subtract six, then multiply by six

Add four and double

Subtracting five and then doubling gives 12 NOT 30

24 / 26

All rows and columns of this grid add up to 45. Find ?

25 / 26

Two dice are rolled together.

What is the probability of rolling a total of 10?

1/3

1/7

1/12

1/24

1/36

Combinations that sum to 10:

(4, 6)
(5, 5)
(6, 4)

So, there are 3 favourable outcomes where the total is 10.

The probability of getting each combination is 1/6 x 1/6= 1/36

The probability of getting either combination with total of 10 = 1/36 + 1/36 + 1/36 = 3/36 = 1/12

26 / 26

500 x 19 = ?

9600

9400

9500

9501

500 x 19 = 9500

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1 / 26

A football field is 100 meters long. How many kilometers is this?

1 km

0.001 km

0.1 km

0.01 km

10 km

100 meters equals 0.1 kilometers.

2 / 26

What is the next number in the sequence 2, 4, 8, 16, ...?

The sequence doubles each time, so the next number after 16 is 32.

3 / 26

Check the bus time table from Edinburgh to London. How long does it take to go from Edinburgh to York?

248 mins

251 mins

250 mins

249 mins

252 mins

4 / 26

What is the total weight of two of these blocks?

60Kg

120Kg

80Kg

40Kg

6 blocks weigh 240Kg So, each block weigh 240 ÷ 6 = 40Kg Total weight of 2 blocks = 40 x 2 = 80Kg

5 / 26

A book costs £7.50, and a pen costs £2.50. How much do 3 books and 2 pens cost together?

£25.00

£22.50

£27.50

£30.00

£20.00

Three books at £7.50 each is £22.50, and two pens at £2.50 each is £5, totaling £27.50.

6 / 26

Calculate:

6 + 2 x (3 + 4) - 5

Solve inside the parentheses first: 3 + 4 = 7 → 6 + 2 × 7 - 5
Next, do multiplication (before addition/subtraction): 2 × 7 = 14 → 6 + 14 - 5
Now do addition and subtraction from left to right: 6 + 14 = 20 → 20 - 5 = 15

Final answer: 15

7 / 26

A cake is sliced into 8 equal pieces. If you eat 3 pieces, what fraction of the cake is left?

1/2

5/6

5/8

3/4

3/8

Eating 3 pieces out of 8 leaves 5/8 of the cake.

8 / 26

In percentage, how many more oranges did Joe have than Apples?

33.3%

25%

20%

35%

30%

Find the difference in quantity:
Subtract the number of apples from the number of oranges to find out how many more oranges Joe has.
More Oranges=Oranges−Apples=8−6=2

Calculate the percentage: The difference needs to be expressed as a percentage of the number of apples to find out by what percentage the number of oranges is more than the number of apples.
Percentage More=(More OrangesApples)×100

Percentage More=(26)×100
Percentage More = 13×100
Percentage More=33.33%
So, Joe has 33.33% more oranges than apples.

9 / 26

Here's the survey result of 100 students from a school. How many girls like Hockey.

10 / 26

A silversmith is crafting a special jewelry piece by mixing 3 parts silver, 1 part platinum, and 2 parts palladium.
How much silver is needed to create 18 kg of this special alloy?

9kg

6kg

15kg

3kg

12kg

Total mixture = 18 kg.
Ratio = 3 parts silver, 1 part platinum, 2 parts palladium (total 6 parts).
Amount of silver = (18 kg / 6 parts) * 3 parts = 9 kg.

11 / 26

A container holds 1.5 litres of water. How many milliliters does it hold?

150ml

15ml

150000ml

15000ml

1500ml

1.5 liters is equivalent to 1500 milliliters.

12 / 26

What is the weight of the cat?

0.75Kg

7.75Kg

7Kg

17Kg

weight of cat + 10Kg = 17.75Kg So, weight of cat = 17.75Kg - 10Kg = 7.75Kg

13 / 26

In making a craft glue blend, you use 2 parts white glue, 3 parts water, and 1 part vinegar.
How much white glue is needed to make 18 litres of this glue blend?

12L

Total mixture = 18 L.
Ratio = 2 parts white glue, 3 parts water, 1 part vinegar (total 6 parts).
Amount of white glue = (18 L / 6 parts) * 2 parts = 6 L.

14 / 26

What is the perimeter of a square with sides of length 5 cm?

25cm

30cm

20cm

15cm

10cm

The perimeter of a square is 4 times the length of one side, so 4 times 5 cm is 20 cm.

15 / 26

If you add 483 and 667, what do you get?

1150

1250

1200

1000

1100

483 + 667 = 1150

16 / 26

A bag contains red, blue, and green marbles.If there are 5 red marbles, 3 blue marbles, and 2 green marbles, what fraction of the marbles are blue?

3/10

1/3

1/5

2/5

1/4

With 5 red, 3 blue, and 2 green marbles, the fraction of blue marbles is 3 out of 10 total marbles, or 3/10.

17 / 26

Check the bus time table above. If the distance between Bradford to Leeds is 30Km, what is the average speed of the bus?

36 km/hr

50 km/hr

45 km/hr

65 km/hr

55 km/hr

Time taken from Bradford to Leeds : 50 minutes

So, 30km is travelled in 50 mins

Therefore, distance travelled in 60 mins = 60 times 30/50 = 36km/hr

18 / 26

How many litres are in 2500 milliliters?

2.0litres

4.0litres

2.5litres

3.0litres

3.5litres

There are 2.5 liters in 2500 milliliters.

19 / 26

Four friends share 28 apples equally. How many apples does each friend get?

Dividing 28 apples equally among 4 friends gives each friend 7 apples.

20 / 26

A potter is making a clay mix by combining 5 parts red clay, 3 parts white clay, and 2 parts water.
How much red clay is needed to make 60 litres of this clay mix?

25L

20L

30L

35L

40L

Total mixture = 60 L.
Ratio = 5 parts red clay, 3 parts white clay, 2 parts water (total 10 parts).
Amount of red clay = (60 L / 10 parts) * 5 parts = 30 L.

21 / 26

How many corners does a hexagon have?

A hexagon has 6 corners.

22 / 26

How many sides does a hexagon have?

A hexagon has 6 sides.

23 / 26

A landscaper is creating a garden soil mix using 4 parts topsoil, 1 part peat moss, and 5 parts compost.
How much peat moss is needed to make 50m³ of this soil mix?

2(m^3)

15(m^3)

5(m^3)

7(m^3)

10(m^3)

Total mixture = 50 cubic meters.
Ratio = 4 parts topsoil, 1 part peat moss, 5 parts compost (total 10 parts).
Amount of peat moss = (50 cubic meters / 10 parts) * 1 part = 5 cubic meters.

24 / 26

From the bus timetable above, how much is the journey time between Heathrow and Bristol?

205 minutes

200 minutes

195 minutes

210 minutes

190 minutes

25 / 26

If a dress costs £45 after a 10% discount, what was its original price?

£55

£49.50

£48

£50

£50.50

If £45 represents 90% of the original price (after a 10% discount), the original price was £50 (since £45 is 90% of £50).

26 / 26

What is 8 times 7?

8 times 7 equals 56.

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1 / 26

Order these fractions from smallest to largest.

1/8, 4/7, 3/5, 5/9, 2/3

5/9, 4/7, 2/3, 3/5, 1/8

1/8, 5/9, 4/7, 3/5, 2/3

1/8, 5/9, 3/5, 2/3, 4/7

1/8, 5/9, 4/7, 2/3, 3/5

2 / 26

175 × p = 0

p = ?

0.1

-1

175

(p = 0) Multiplying 175 by p gives 0, so p must be 0.

3 / 26

What is the missing number in this sequence? 148 141 ? 127 120

135

130

136

133

134

The sequence decreases by 7 each step; the missing number between 141 and 127 is 134.

4 / 26

600 ÷ x = 200

x = ?

600

0.3

0.5

(x = 3) Dividing 600 by x gives 200, so x must be 3.

5 / 26

stands for 30 cars. How many more cars are in garage A than garage B?

25Cars

30Cars

15Cars

45Cars

35Cars

Cars in garage A = 30 x 4 = 120

Cars in garage B = 30 x 2.5 = 75

Therefore, Garage A has (120 - 75 = 45) more cars than garage B

6 / 26

What is the weight of an apple?

40g

0.8Kg

200g

20g

0.4K

4 apples + 10Kg = 10.8Kg So, weight of 4 apples = 0.8Kg = 800 grams Weight of each apple = 800 ÷ 4 = 200g

7 / 26

2921 + 3432 = ?

6353

6253

6352

6453

2921 + 3432 = 6353

8 / 26

What is the next number in the sequence 5, 10, 20, 40, ...?

100

The sequence doubles each time, so the next number after 40 is 80.

9 / 26

87 x 58 = ?

5046

5146

5145

5045

87 x 58 = 5046

10 / 26

874 + 2865 = ?

3539

3749

3739

3639

874 + 2865 = 3739

11 / 26

How much does each brick weigh? brickweight

16Kg

12Kg

14Kg

15Kg

8Kg

12 / 26

Put these fractions in order of size starting with the smallest first.

2/3, 3/4, 1/6, 1/3, 2/5

1/6, 1/3, 2/5, 2/3, 3/4

1/6, 2/3, 2/5, 3/4, 1/3

2/5, 1/3, 3/4, 1/6, 2/3

1/6, 2/3, 1/3, 2/5, 3/4

13 / 26

4994 ÷ 22 = ?

226

228

227

229

4994 ÷ 22 = 227

14 / 26

1845 + 758 = ?

2603

2503

2593

2613

1845 + 758 = 2603

15 / 26

f + 7 = 14

f = ?

-7

(f = 7) Subtracting 7 from 14 gives f.

16 / 26

All rows and columns of this grid add up to 60. Find ?

17 / 26

Mia starts with the number 4. Which of these instructions does not give her an answer of 10?

Subtract two- then multiply by three

Double and add two

Add 1, then double

Triple your value- then subtract two

Subtracting two- then multiplying by three gives 6 not 10

18 / 26

What is the missing number in this sequence?

868 859 ? 841 832

850

852

851

846

849

The sequence decreases by 9 each step; the missing number between 859 and 841 is 850.

19 / 26

4096 ÷ 16 = ?

266

255

256

257

4096 ÷ 16 = 256

20 / 26

What is the missing number in this sequence? 222 217 ? 207 202

212

211

213

208

214

The sequence decreases by 5 each step; the missing number between 217 and 207 is 212.

21 / 26

What is the missing number in this sequence? 540 529 518 ? 496

508

503

506

507

509

The sequence decreases by 11 each step; the missing number between 518 and 496 is 507.

22 / 26

What is the next number in the sequence: 2, 4, 7, 11, 16, ...?

The sequence increases by 2, then 3, 4, and so on, making the next number 22.

23 / 26

Order these fractions from the largest to the smallest.

6/7, 5/7, 3/4, 2/8, 1/9

6/7, 2/8, 5/7, 3/4, 1/9

1/9, 2/8, 6/7, 5/7, 3/4

6/7, 3/4, 2/8, 5/7, 1/9

6/7, 3/4, 5/7, 2/8, 1/9

24 / 26

A necklace uses beads in a ratio of gold to silver beads of 1:3, and the ratio of silver beads to platinum beads is 5:2. Find the ratio of gold to platinum beads.

1:6

5:14

3:10

5:6

25 / 26

Mason starts with the number 10.
Which of these instructions does not give him an answer of 20?

Subtract two - then add twelve

Double your value

Halve your value then multiply by 4

Multiply by two- then subtract five

Multiplying by 2 and subtracting 5 gives 15 NOT 20

26 / 26

7641 - 2310 = ?

5231

5330

5331

5431

7641 - 2310 = 5331

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1 / 26

1/3 of a shape is blue and 1/6 is red. What fraction of the shape is not colored?

1/3

5/6

1/4

1/2

1/6

If 1/3 is blue and 1/6 is red,

adding these fractions : 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2

So, 1/2 not colored.

2 / 26

If a class of 20 students has 10 boys, what fraction of the class is female?

1/4

3/5

2/5

3/4

1/2

If there are 10 boys in a class of 20 students, the other half, or 10/20, must be female, which is 1/2.

3 / 26

This is the train timetable from Milton Keynes to Glasgow. What time does the train departing at 9:00 PM reach Glasgow?

2:21 AM

2:13 AM

2:23 AM

1:57 AM

1:49 AM

4 / 26

In the number 752, what does 5 represent?

5ones

5tenths

500

5hundreds

In the number 752, the digit 5 represents 5 tens or 50.

5 / 26

How much does each brick weigh? brickweight

15Kg

8Kg

16Kg

14Kg

12Kg

6 / 26

In a pattern of shapes, the number of sides increases by one with each shape: triangle, square, pentagon, etc. What is the shape that comes two after a hexagon?

Heptagon

Decagon

Dodecagon

Octagon

Nonagon

Two shapes after a hexagon is an octagon.

7 / 26

If a scale model car is 1:64 the size of the actual car, and the actual car is 192 inches long, how long is the model?

4 inches

3 inches

6 inches

8 inches

2 inches

Given the scale, the model car is 3 inches long.

8 / 26

Find the range

2.75

3.5

2.5

9 / 26

If a dress costs £45 after a 10% discount, what was its original price?

£50.50

£48

£49.50

£50

£55

If £45 represents 90% of the original price (after a 10% discount), the original price was £50 (since £45 is 90% of £50).

10 / 26

A rectangular field is 100 meters long and 50 meters wide. What is the perimeter of the field?

150meters

200meters

250meters

300meters

350meters

The perimeter of a rectangular field is 2 times the length plus 2 times the width, so 2(100) + 2(50) = 300 meters.

11 / 26

What is the smallest positive multiple of 9 that is greater than 50?

The smallest positive multiple of 9 greater than 50 is 54.

12 / 26

What is the result when you subtract 15 from 37?

Subtracting 15 from 37 gives 22.

13 / 26

What is the next number in the sequence 2, 4, 8, 16, ...?

The sequence doubles each time, so the next number after 16 is 32.

14 / 26

Check the train timetable from Reading to London Paddington. The train departing 10:48AM is delayed by 23 mins. What time will it reach London Paddington?

12:04 PM

11:51 AM

12:04 AM

11:58 AM

12:02 PM

15 / 26

Convert the number "nine thousand one hundred twelve" into digits.

9121

9211

1912

1921

9112

"Nine thousand one hundred twelve" is numerically represented as 9112.

16 / 26

A football field is 100 meters long. How many kilometers is this?

0.01 km

1 km

10 km

0.1 km

0.001 km

100 meters equals 0.1 kilometers.

17 / 26

Which of the following is NOT a factor of 36?

5 is not a factor of 36.

18 / 26

If you buy 5 notebooks for £2.50 each, how much change do you get from a £20 note?

£7.50

£8.50

£5

£6

£15

Buying 5 notebooks for £2.50 each costs (5x2.50) = £12.50,

so the change from a £20 note is 20-12.50 = £7.50.

19 / 26

From the bus timetable above, how much is the journey time between Glasgow and Edinburgh?

1 Hr 27 mins

1 Hr 28 mins

1 Hr 25 mins

1 Hr 24 mins

1 Hr 26 mins

20 / 26

To create a custom shade of purple paint, you mix 3 parts blue, 2 parts red, and 5 parts white.
How much blue paint is needed to make 50 litres of this purple paint?

25L

10L

15L

30L

Total mixture = 50 L.
Ratio = 3 parts blue, 2 parts red, 5 parts white (total 10 parts).
Amount of blue paint = (50 L / 10 parts) * 3 parts = 15 L.

21 / 26

A car travels 150 miles in 3 hours. What is the car's average speed?

50mph

55mph

45mph

65mph

60mph

Dividing 150 miles by 3 hours gives an average speed of 50 mph.

22 / 26

What is the area of a rectangle with a length of 8 cm and a width of 5.5 cm?

44 cm²

45 cm²

50 cm²

40 cm²

30 cm²

The area of the rectangle is 44 cm² (ie. 8 cm x 5.5 cm).

23 / 26

A cake is sliced into 8 equal pieces. If you eat 3 pieces, what fraction of the cake is left?

5/6

3/4

5/8

1/2

3/8

Eating 3 pieces out of 8 leaves 5/8 of the cake.

24 / 26

What is the next number in the sequence: 2, 4, 7, 11, 16, ...?

The sequence increases by 2, then 3, 4, and so on, making the next number 22.

25 / 26

This table has the survey result of 100 men and women in Cardiff. How many women like Samsung?

26 / 26

A goldsmith is creating an alloy by mixing 3 parts gold, 2 parts silver, and 1 part copper.
How much gold is needed to make 12 kg of this alloy?

9kg

6kg

12kg

4.5kg

3kg

The alloy is made by mixing gold, silver, and copper in the ratio 3 : 2 : 1.

This means the total parts in the alloy = 3 + 2 + 1 = 6 parts.

To make 12 kg of the alloy, each part weighs:12 kg ÷ 6 parts = 2 kg per part.

Gold is 3 parts, so the amount of gold needed is:3 parts × 2 kg/part = 6 kg.

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1 / 26

What is the weight of the bananas?

1.25Kg

11Kg

2.25Kg

11.2Kg

weight of bananas + 10Kg = 11.25Kg So, weight of bananas = 11.25Kg - 10Kg = 1.25Kg

2 / 26

A rectangular swimming pool has a length-to-width ratio of 4:3. If the length is 32 meters, calculate the total perimeter of the pool.

120 meters

100 meters

84 meters

112 meters

3 / 26

8123 - 500 = ?

7622

7723

7523

7623

8123 - 500 = 7623

4 / 26

312 x 24 = ?

7588

7488

7489

7589

312 x 24 = 7488

5 / 26

900 ÷ x = 30

x = ?

0.03

900

(x = 30) Dividing 900 by x gives 30, so x must be 30.

6 / 26

A salad dressing uses oil and vinegar in a ratio of 3:1. How much vinegar is needed to mix with 450 ml of oil?

100 ml

350 ml

200 ml

150 ml

7 / 26

Order these fractions from the largest to the smallest.

6/7, 5/7, 3/4, 2/8, 1/9

6/7, 3/4, 2/8, 5/7, 1/9

6/7, 2/8, 5/7, 3/4, 1/9

6/7, 3/4, 5/7, 2/8, 1/9

1/9, 2/8, 6/7, 5/7, 3/4

8 / 26

Arrange these fractions in ascending order.

4/15, 3/20, 6/17, 5/12, 7/19

3/20, 4/15, 6/17, 7/19, 5/12

3/20, 7/19, 6/17, 5/12, 4/15

7/19, 5/12, 6/17, 4/15, 3/20

3/20, 7/19, 5/12, 4/15, 6/17

3/20 = 0.15, 4/15 = 0.2667, 6/17 = 0.3529, 7/19 = 0.3684, 5/12 = 0.4167

9 / 26

A rectangular field has a length to width ratio of 6:1. If its length is 48 meters, determine the perimeter of the field.

96 meters

120 meters

198 meters

112 meters

10 / 26

A group of 60 kids is made up of boys and girls in a ratio of 1:3. How many boys should join to create a 1:1 ratio?

45 boys

20 boys

15 boys

30 boys

The ratio of boys to girls is 1:3 in a group of 60 kids.
So, divide 60 into 4 equal parts (1 + 3 = 4 parts).
Each part is 15, so there are 15 boys and 45 girls.

To make the ratio 1:1, the number of boys must equal the number of girls (45).
So, 15 boys need 30 more to become 45.

Answer: 30 boys need to join.

11 / 26

To make a potion, a wizard mixes herbs and cream in a ratio of 2:8. How many grams of herbs are needed for 1600 grams of cream?

240 grams

400 grams

300 grams

320 grams

480 gram

The ratio of herbs to cream is 2:8, which simplifies to 1:4. This means for every 1 gram of herbs, there are 4 grams of cream.

To find the amount of herbs needed for 1600 grams of cream:

$400 grams.$

12 / 26

How much does each of these pots weigh?

20Kg

50Kg

30Kg

25Kg

15Kg

2 x Pot Weight + 10Kg = 60Kg

2 x Pot Weight = 50Kg

Each pot weight = 25Kg

13 / 26

153 x 42 = ?

6525

6425

6426

6526

153 x 42 = 6426

14 / 26

The ratio of the width to the height of a rectangular billboard is 5:2. If the width is 25 meters, what is the perimeter of the billboard?

60 meters

80 meters

40 meters

70 meters

15 / 26

What is the missing number in this sequence? 540 529 518 ? 496

507

503

509

508

506

The sequence decreases by 11 each step; the missing number between 518 and 496 is 507.

16 / 26

3600 ÷ 20 = ?

180

160

170

190

3600 ÷ 20 = 180

17 / 26

50 × p = 200

p = ?

0.25

250

(p = 4) Dividing 200 by 50 gives p.

18 / 26

720 ÷ x = 90

x = ?

720

800

(x = 8) Dividing 720 by x gives 90, so x must be 8.

19 / 26

620 x 15 = ?

9300

9400

9301

9200

620 x 15 = 9300

20 / 26

j + 64 = 128

j = ?

-64

192

(j = 64) Subtracting 64 from 128 gives j.

21 / 26

Mia starts with the number 4. Which of these instructions does not give her an answer of 10?

Double and add two

Add 1, then double

Subtract two- then multiply by three

Triple your value- then subtract two

Subtracting two- then multiplying by three gives 6 not 10

22 / 26

How much does each brick weigh? brickweight

12Kg

14Kg

15Kg

16Kg

8Kg

23 / 26

Arrange these fractions in ascending order.

7/12, 5/8, 3/4, 2/9, 1/3

2/9, 1/3, 7/12, 3/4, 5/8

2/9, 1/3, 5/8, 3/4, 7/12

2/9, 7/12, 5/8, 3/4, 1/3

2/9, 1/3, 7/12, 5/8, 3/4

24 / 26

n – 7 = -14

n = ?

-7

-21

(n = -7) Adding 7 to -14 gives n.

25 / 26

f + 7 = 14

f = ?

-7

(f = 7) Subtracting 7 from 14 gives f.

26 / 26

h + 45 = 90

h = ?

-45

135

(h = 45) Subtracting 45 from 90 gives h.

/26

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1 / 26

What is the next number in the sequence 5, 10, 20, 40, ...?

100

The sequence doubles each time, so the next number after 40 is 80.

2 / 26

What is the greatest common factor of 36 and 54?

The greatest common factor of 36 and 54 is 18.

3 / 26

From the bus timetable above, how much is the journey time between Glasgow and Edinburgh?

1 Hr 28 mins

1 Hr 26 mins

1 Hr 24 mins

1 Hr 25 mins

1 Hr 27 mins

4 / 26

A baker is making a batch of cookies with a mixture of 2 parts sugar, 3 parts flour, and 4 parts butter.
How much flour is needed for 36 kg of this cookie mixture?

6kg

15kg

9kg

12kg

18kg

Total mixture = 36 kg.
Ratio = 2 parts sugar, 3 parts flour, 4 parts butter (total 9 parts).
Amount of flour = (36 kg / 9 parts) * 3 parts = 12 kg.

5 / 26

All rows and columns of this grid add up to 35. Find ?

6 / 26

For a refreshing summer drink, mix 4 parts water, 1 part lemon juice, and 1 part mint syrup.
How much water is required for 12 litres of this drink?

Total mixture = 12 L.
Ratio = 4 parts water, 1 part lemon juice, 1 part mint syrup (total 6 parts).
Amount of water = (12 L / 6 parts) * 4 parts = 8 L.

7 / 26

From this timetable, what is the total duration of the journey from Manchester to Slough?

230 minutes

210 minutes

225 minutes

220 minutes

205 minutes

8 / 26

The ratio of cats to dogs in a pet shop is 3:2. If there are 9 cats, how many dogs are there?

There are 6 dogs if there are 9 cats.

9 / 26

A potter is making a clay mix by combining 5 parts red clay, 3 parts white clay, and 2 parts water.
How much red clay is needed to make 60 litres of this clay mix?

30L

40L

25L

35L

20L

Total mixture = 60 L.
Ratio = 5 parts red clay, 3 parts white clay, 2 parts water (total 10 parts).
Amount of red clay = (60 L / 10 parts) * 5 parts = 30 L.

10 / 26

Complete the equation: 2/3 = ?/9

What is ?

Cross-multiplying to solve 2/3 = ?/9 gives 6 as the missing numerator.

11 / 26

To prepare a homemade jam, you mix 4 parts strawberries, 1 part sugar, and 1 part pectin.
How much sugar is needed for 18 kg of this jam?

6kg

3kg

1kilogram

9kg

4kg

Total mixture = 18 kg.
Ratio = 4 parts strawberries, 1 part sugar, 1 part pectin (total 6 parts).
Amount of sugar = (18 kg / 6 parts) * 1 part = 3 kg.

12 / 26

How many lines of symmetry does an equilateral triangle have?

An equilateral triangle has 3 lines of symmetry.

13 / 26

1/3 of a shape is blue and 1/6 is red. What fraction of the shape is not colored?

5/6

1/6

1/4

1/2

1/3

If 1/3 is blue and 1/6 is red,

adding these fractions : 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2

So, 1/2 not colored.

14 / 26

What is the weight of the bananas?

11.2Kg

1.25Kg

11Kg

2.25Kg

weight of bananas + 10Kg = 11.25Kg So, weight of bananas = 11.25Kg - 10Kg = 1.25Kg

15 / 26

How many 45° angles fit together to make a full circle?

A full circle is 360 degrees, and dividing this by 45° gives 8 angles fitting together to make a full circle.

16 / 26

What is the weight of each block?

120Kg

100Kg

40Kg

60Kg

80Kg

5 blocks weigh 400Kg So, each block weigh 400 ÷ 5 = 80Kg

17 / 26

If sales increased from 200 to 400 units over a year, by what percentage did the sales increase?

250%

100%

200%

150%

50%

The sales increased by 100%.

18 / 26

What is the median of the following numbers: 3, 7, 9, 6, and 12?

The median of the numbers 3, 6, 7, 9, 12 is 7, as it is the middle value when they are ordered.

19 / 26

Check the bar chart showing water consumed over a week. Calculate the mean.

5.64

4.9

4.64

5.24

5.1

20 / 26

Here's the survey result of 100 men and women in Bristol. How many women like Samsung?

21 / 26

If the morning temperature was 7°C and it dropped by 4 degrees, what was the new temperature?

-3°C

3°C

3°F

4°C

11°C

Dropping 4 degrees from 7°C gives 3°C.

22 / 26

What is 8 times 7?

8 times 7 equals 56.

23 / 26

A bag contains red, blue, and green marbles.If there are 5 red marbles, 3 blue marbles, and 2 green marbles, what fraction of the marbles are blue?

2/5

3/10

1/4

1/3

1/5

With 5 red, 3 blue, and 2 green marbles, the fraction of blue marbles is 3 out of 10 total marbles, or 3/10.

24 / 26

If the temperature in London is 22°C and it's 26°C cooler in Alaska, what's the temperature in Alaska?

-4°C

4°C

-6°C

-2°C

8°C

22°C - 26°C = -4°C

25 / 26

A football field is 100 meters long. How many kilometers is this?

0.01 km

0.001 km

0.1 km

10 km

1 km

100 meters equals 0.1 kilometers.

26 / 26

Convert 6000 grams to kilograms.

60 kg

0.06 kg

600 kg

0.6 kg

6 kg

Converting 6000 grams to kilograms gives 6 kg.

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1 / 26

6.6 x 1000 = ?

6.6

660

6600

0.66

6.6×1000=6600

2 / 26

A 2 kilometer race is organised in a stadium.
One lap is 500 meters.
How many laps will need to be covered to complete the race?

3laps

6laps

4laps

2laps

5laps

4 laps
To complete a 2 kilometer race, four 500-meter laps are needed.

3 / 26

A car is bought for £8,000. It depreciates by 15% each year. What is its value after one year?

£6900

£6800

£7100

£7000

£7200

£6,800
A 15% depreciation on £8,000 reduces its value by £1,200, leaving £6,800.

4 / 26

Work out X multiplied by VIII.

LXXV

LXV

LXX

LXXX

X (10) x VIII (8) = LXXX (80)

5 / 26

What is 75% of 40?

Calculate 75% of 40 by multiplying 40 by 0.75 ie. 30.

6 / 26

Check the bus timetable. How long is the total journey between Oxford and Cambridge?

2hr 55min

2hr 40min

2hr 50min

2hr 45min

2hr 35min

7 / 26

A rectangular field has a length to width ratio of 6:1. If its length is 48 meters, determine the perimeter of the field.

120 meters

112 meters

198 meters

96 meters

8 / 26

4.8 ÷ 0.2 = ?

2.3

2.5

2.4

To solve 4.8 ÷ 0.2, follow this simple trick:

Multiply both numbers by 10 to remove the decimal:

Now divide: 48 ÷ 2 = 24

9 / 26

Work out XVIII multiplied by II.

XXXVI

XXX

XXXII

XXXVIII

XXXIV

XVIII (18) x II (2) = XXXVI (36)

10 / 26

A goldsmith is creating an alloy by mixing 3 parts gold, 2 parts silver, and 1 part copper.
How much gold is needed to make 12 kg of this alloy?

3kg

9kg

6kg

12kg

4.5kg

The alloy is made by mixing gold, silver, and copper in the ratio 3 : 2 : 1.

This means the total parts in the alloy = 3 + 2 + 1 = 6 parts.

To make 12 kg of the alloy, each part weighs:12 kg ÷ 6 parts = 2 kg per part.

Gold is 3 parts, so the amount of gold needed is:3 parts × 2 kg/part = 6 kg.

11 / 26

3600 ÷ 20 = ?

170

190

180

160

3600 ÷ 20 = 180

12 / 26

Convert the number "nine thousand one hundred twelve" into digits.

9211

9112

9121

1912

1921

"Nine thousand one hundred twelve" is numerically represented as 9112.

13 / 26

What is the value of the 5 in this number?
5308

5 thousands

5 hundreds

5 thousandths

5 ones

5 tens

5308: 5 Thousands, 3 Hundreds, 0 Tens, 8 Ones

14 / 26

What is 60% of 30?

Calculate 60% of 30 by multiplying 30 by 0.60 ie. 18.

15 / 26

There were 24 members in the club.
The number of females was twice the number of males.
How many females were there?

12 females

16 females

15 females

14 females

10 females

Assuming x males, twice as many females would be 2x; 2x + x = 24, therefore number of females i.e., 2x = 16.

16 / 26

39 x 99 = 3900 - ?

149

689

139

3900 is 39 x 100 (39 x 100) - (39 x 99) = 39 x 1 = 39

17 / 26

Liam saved £1.20 every day. How much did he save after 30 days?

40 pounds

32 pounds

34 pounds

36 pounds

38 pounds

£36.00
Saving £1.20 each day for 30 days totals £36.00.

18 / 26

Mia starts with the number 4. Which of these instructions does not give her an answer of 10?

Triple your value- then subtract two

Double and add two

Add 1, then double

Subtract two- then multiply by three

Subtracting two- then multiplying by three gives 6 not 10

19 / 26

What is the missing number in this sequence? 605 593 581 ? 557

568

570

571

569

565

The sequence decreases by 12 each step; the missing number between 581 and 557 is 569.

20 / 26

9.6 ÷ 4 = ?

2.2

2.5

2.6

2.4

2.3

9.6÷4=2.4

21 / 26

How many weeks did it take Wendy to save £20 if she saved £2.50 a week?

10 weeks

4 weeks

14 weeks

8 weeks

9 weeks

8 weeks
Wendy saves £2.50 each week, so £20 divided by £2.50 per week equals 8 weeks.

22 / 26

0.8 + 2.2 = ?

2.9

3.0

2.8

3.2

3.1

0.8+2.2=3

23 / 26

32 × p = 64

p = ?

0.5

0.1

(p = 2) Dividing 64 by 32 gives p.

24 / 26

14.4 ÷ 12 = ?

1.4

1.1

1.3

1.0

1.2

14.4÷12=1.2

25 / 26

A school has 33 teachers.
There are twice as many female teachers as male teachers.
How many female teachers are there?

19 female teachers

20 female teachers

21 female teachers

22 female teachers

23 female teachers

Assuming x male teachers, twice as many female teachers would be 2x; 2x + x = 33, therefore number of female teachers i.e., 2x = 22.

26 / 26

What is the height of an average dining table?

75cm

7.5cm

75m

7.5m

0.75m

The height of an average dining table is 0.75m.

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1 / 26

A tree was 2.3 meters tall.
After one year, it grew an additional 45 centimeters.
How tall was the tree then in meters?

2.8m

2.7m

2.75m

2.65m

2.85m

The tree is now 2.75 meters tall.
It grew 45 cm (0.45 meters) from its original height.

2 / 26

14.4 ÷ 12 = ?

1.1

1.3

1.2

1.4

1.0

14.4÷12=1.2

3 / 26

Work out IX multiplied by VIII.

LXXII

LXVII

LXIV

LXXVIII

LXXVI

IX (9) x VIII (8) = LXXII (72)

4 / 26

Work out XVIII multiplied by II.

XXXIV

XXXVIII

XXXII

XXXVI

XXX

XVIII (18) x II (2) = XXXVI (36)

5 / 26

A warehouse stores 7 crates.
Each crate has a weight of 850 grams.
What is the total weight of the crates in kilograms?

5.95kg

59.5kg

595g

5900g

595kg

7 crates x 850 grams/crate = 5950 grams = 5.95 kilograms.

6 / 26

If a scale model car is 1:64 the size of the actual car, and the actual car is 192 inches long, how long is the model?

8 inches

2 inches

6 inches

3 inches

4 inches

Given the scale, the model car is 3 inches long.

7 / 26

Lina jogged 1.5 kilometers in the morning.
In the evening, she jogged twice as much.
How many kilometers did she jog in total?

1.5km

4.5km

4km

2km

3km

4.5 kilometers
Lina jogged 1.5 km in the morning and 3 km in the evening.

8 / 26

11 13 17

The three numbers above are alike in some ways. Select ONE of the following to say one way in which they are alike.

They are all square numbers.

They are all even numbers.

They can all be divided exactly by 3.

They are all prime numbers.

They are all three-figure numbers.

They are all prime numbers.

9 / 26

76 x 99 = 7600 - ?

726

176

186

7600 is 76 x 100 (76 x 100) - (76 x 99) = 76 x 1 = 76

10 / 26

Work out XI multiplied by VII.

LXXIII

LXXXI

LXXIX

LXVII

LXXVII

XI (11) x VII (7) = LXXVII (77)

11 / 26

A workshop started at 10:15 AM, wrapped up at 12:45 PM. How long was it?

90mins

180mins

150mins

210mins

120mins

The workshop was 150 minutes from 10:15 AM to 12:45 PM.

12 / 26

A study group convened at 3:15 PM, disbanded at 4:50 PM. How long did it last?

75mins

95mins

55mins

65mins

35mins

The study group lasted 95 minutes from 3:15 PM to 4:50 PM.

13 / 26

Ava starts with the number 3. Which of these instructions does not give her an answer of 20?

Multiply by 6, then add two

Add seven and double

Triple your value, then add 10

Subtract 1, then multiple by 10

Tripling value and adding 10 gives 19 not 20

14 / 26

What is the missing number in this sequence? 256 248 ? 232 224

239

241

242

236

240

The sequence decreases by 8 each step; the missing number between 248 and 232 is 240.

15 / 26

During a concert, 300 people attended.
There were five times as many teenagers as adults.
How many teenagers were there?

240 teenagers

235 teenagers

245 teenagers

250 teenagers

255 teenagers

Assuming x adults, five times as many teenagers would be 5x; 5x + x = 300, therefore number of teenagers i.e., 5x = 250.

16 / 26

15 30 45

The three numbers above are alike in some ways. Select ONE of the following to say one way in which they are alike.

They are all square numbers.

They can all be divided exactly by 6.

They are all even numbers.

They are all multiples of 15.

17 / 26

To make a potion, a wizard mixes herbs and cream in a ratio of 2:8. How many grams of herbs are needed for 1600 grams of cream?

400 grams

480 gram

320 grams

300 grams

240 grams

The ratio of herbs to cream is 2:8, which simplifies to 1:4. This means for every 1 gram of herbs, there are 4 grams of cream.

To find the amount of herbs needed for 1600 grams of cream:

$400 grams.$

18 / 26

28 x 98 = 2800 - ?

138

678

2800 is 28 x 100 (28 x 100) - (28 x 98) = 28 x 2 = 56

19 / 26

What is (8²)?

8 x 8 = 64

20 / 26

What is the missing number in this sequence? 64 58 ? 46 40

The sequence decreases by 6 each step; the missing number between 58 and 46 is 52.

21 / 26

What is the area of a rectangle with a length of 8 cm and a width of 5.5 cm?

40 cm²

30 cm²

50 cm²

44 cm²

45 cm²

The area of the rectangle is 44 cm² (ie. 8 cm x 5.5 cm).

22 / 26

39 x 99 = 3900 - ?

689

149

139

3900 is 39 x 100 (39 x 100) - (39 x 99) = 39 x 1 = 39

23 / 26

4994 ÷ 22 = ?

226

227

228

229

4994 ÷ 22 = 227

24 / 26

What is the value of the 8 in this number?
2187

8 thousandths

8 ones

8 hundreds

8 thousands

8 tens

2187: 2 Thousands, 1 Hundred, 8 Tens, 7 Ones

25 / 26

Here's the survey result of 100 men and women in Bristol. How many women like Samsung?

26 / 26

A child has 9 toy cars.
Each car weighs 300 grams.
How much do the toy cars weigh altogether in kilograms?

27kg

2.7kg

270kg

2800g

270g

9 toy cars x 300 grams/car = 2700 grams = 2.7 kilograms.

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1 / 26

A tank is filled with 500 litres of petrol.
1/5 of the petrol is used.
How many litres of petrol is used?

250lt

200lt

100lt

50lt

150lt

1/5 of 500 litres of petrol is used, which equals 100 litres.

2 / 26

0.75 x 100 = ?

7.5

0.075

750

0.75

0.75×100=75

3 / 26

A rectangular swimming pool has a length-to-width ratio of 4:3. If the length is 32 meters, calculate the total perimeter of the pool.

100 meters

84 meters

120 meters

112 meters

4 / 26

There were 24 members in the club.
The number of females was twice the number of males.
How many females were there?

15 females

16 females

10 females

14 females

12 females

Assuming x males, twice as many females would be 2x; 2x + x = 24, therefore number of females i.e., 2x = 16.

5 / 26

Danny thinks of a number. He subtracts 7 from his number. Then multiplies the result by 4. The result is 20. What number did Danny first think of?

Working backwards, Divide 20 by 4 -> 5.
Add 7 and 5 -> Answer is 12

6 / 26

250 × p = 25

p = ?

0.01

2.5

250

0.1

(p = 0.1) Dividing 25 by 250 gives p.

7 / 26

A charity collects £500. They spend 20% of this on administration costs. How much money is left?

£380

£360

£400

£420

£440

£400
After spending 20% on administration costs, 80% of £500 remains, which is £400.

8 / 26

A child has 9 toy cars.
Each car weighs 300 grams.
How much do the toy cars weigh altogether in kilograms?

2800g

2.7kg

27kg

270kg

270g

9 toy cars x 300 grams/car = 2700 grams = 2.7 kilograms.

9 / 26

Liam starts with the number 6.
Which of these instructions does not give him an answer of 18?

Double and add six

Triple your value

Multiply by three and subtract six

Add three- then multiply by two

Multiplying by 3 and subtracting 6 gives 12 NOT 18

10 / 26

Work out XXIV multiplied by III.

CXXII

LXXIV

LXXVI

LXXVIII

LXXII

XXIV represents 24 (X = 10, V = 5, I = 1, and II = 2).
III represents 3.
24 x 3 = 72 which is LXXII

11 / 26

There are 40 students in a class. The pie chart shows favourite fruits of the students. How many students like grapes?

12 / 26

28 x 98 = 2800 - ?

678

138

2800 is 28 x 100 (28 x 100) - (28 x 98) = 28 x 2 = 56

13 / 26

A train carries 240 passengers.
1/6 of them are in the first class and the rest in second class.
How many passengers are in second class?

190 passengers

180 passengers

210 passengers

220 passengers

200 passengers

Subtracting one-sixth (40) of the passengers in the first class from the total 240 passengers leaves 200 passengers in the second class.

14 / 26

A plot of land was 5 kilometers wide.
It was divided into 5 equal sections.
How wide is each section in meters?

1000m

2000m

500m

100m

1500m

1000 meters
Each section of land is 5 kilometers or 5000 meters divided by 5.

15 / 26

Order these fractions from smallest to largest.

1/8, 4/7, 3/5, 5/9, 2/3

1/8, 5/9, 4/7, 3/5, 2/3

1/8, 5/9, 4/7, 2/3, 3/5

1/8, 5/9, 3/5, 2/3, 4/7

5/9, 4/7, 2/3, 3/5, 1/8

16 / 26

A subscription service costs £7.99 per month. If you pay annually, the cost is £75.99. How much is saved by paying annually?

£15.89

£19.99

£19.89

£18

£20

£19.89
Paying monthly would cost £7.99 x 12 months = £95.88. The annual cost is £75.99, so £95.88 - £75.99 equals a saving of £19.89.

17 / 26

Which of these is a prime number?

29 is a prime number, as it only has two distinct positive divisors: 1 and itself.

All other numbers have multiple factors other than 1 and itself

18 / 26

100 × p = 0

p = ?

-1

100

(p = 0) Multiplying 100 by p gives 0, so p must be 0.

19 / 26

What is the next number in the sequence 2, 4, 8, 16, ...?

The sequence doubles each time, so the next number after 16 is 32.

20 / 26

Find the range

3.5

2.75

2.5

21 / 26

v – 85 = -170

v = ?

255

-85

-255

(v = -85) Adding 85 to -170 gives v.

22 / 26

What is the value of the 9 in this number?
4926

9 thousands

9 tens

9 hundreds

9 ones

9 thousandths

4926: 4 Thousands, 9 Hundreds, 2 Tens, 6 Ones

23 / 26

There were 36 pieces of art in a gallery.
1/6 of them were sculptures and the rest paintings.
How many paintings were there?

40 pieces

30 pieces

25 pieces

20 pieces

35 pieces

Subtracting one-sixth (6) of the pieces that are sculptures from the total 36 pieces leaves 30 paintings.

24 / 26

A bag contains red, blue, and green marbles.If there are 5 red marbles, 3 blue marbles, and 2 green marbles, what fraction of the marbles are blue?

1/5

1/3

2/5

1/4

3/10

With 5 red, 3 blue, and 2 green marbles, the fraction of blue marbles is 3 out of 10 total marbles, or 3/10.

25 / 26

What is the value of the 8 in this number? 8923

8 thousands

8 thousandths

8 hundreds

8 tens

8 ones

8923: 8 Thousands, 9 Hundreds, 2 Tens, 3 Ones

26 / 26

The Seminar started at 1:45 PM, finished at 3:30 PM. How long did it last?

95mins

75mins

105mins

135mins

45mins

The seminar lasted 105 minutes from 1:45 PM to 3:30 PM.

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1 / 26

The dimensions of a rectangular field are in the ratio 7:4. If the shorter side of the field is 56 meters, what is the field's perimeter?

364 meters

308 meters

252 meters

448 meters

2 / 26

A bicycle travels 15 km in 20 minutes. What is its speed in km per hour?

45km/h

15km/h

30km/h

60km/h

75km/h

Traveling 15 km in 20 minutes -> 45Km in 60mins

ie. 45 km/h

3 / 26

All rows and columns of this grid add up to 35. Find ?

4 / 26

0.4 x 3 = ?

1.22

0.12

0.012

1.2

0.4×3=1.2

5 / 26

0.06 x 1000 = ?

0.6

600

0.06

0.06×1000=60

6 / 26

In a race, 48 athletes participated.
There were three times as many men as women.
How many men were there?

26 men

30 men

24 men

36 men

28 men

Assuming x women, three times as many men would be 3x; 3x + x = 48, therefore number of men i.e., 3x = 36.

7 / 26

What is the area of a rectangle with a length of 8 cm and a width of 5.5 cm?

45 cm²

50 cm²

40 cm²

30 cm²

44 cm²

The area of the rectangle is 44 cm² (ie. 8 cm x 5.5 cm).

8 / 26

k – 50 = 50

k = ?

-50

100

-100

(k = 100) Adding 50 to 50 gives k.

9 / 26

Check the bus time table from Edinburgh to London. How long does it take to go from Edinburgh to York?

250 mins

252 mins

251 mins

248 mins

249 mins

10 / 26

312 x 24 = ?

7589

7588

7489

7488

312 x 24 = 7488

11 / 26

If (x² = 36), what is the value of x?

Value of x is 6

12 / 26

p + 15 = 0

p = ?

-15

-30

(p = -15)

Subtracting 15 from 0 gives p ie -15.

13 / 26

If the area of a square is 64, what is its perimeter?

8 squared is 64. Therefore, length of each side of the cube must be 8. Hence, perimeter is 8 x 4 = 32

14 / 26

7.2 x 3 = ?

216

0.216

21.6

21.16

2.16

7.2×3=21.6

15 / 26

17 x 98 = 1700 - ?

127

657

117

1700 is 17 x 100 (17 x 100) - (17 x 98) = 17 x 2 = 34

16 / 26

In a collection of stamps, the ratio of US stamps to British stamps is 3:4, and the ratio of British stamps to French stamps is 2:3. What is the ratio of US stamps to French stamps?

6:9

1:2

9:12

2:5

17 / 26

All rows and columns of this grid add up to 60. Find ?

18 / 26

For a unique perfume, a blend of 2 parts rose essence, 3 parts jasmine essence, and 1 part vanilla essence is used.
How much jasmine essence is needed for 24 litres of this perfume?

12L

15L

Total mixture = 24 L.
Ratio = 2 parts rose essence, 3 parts jasmine essence, 1 part vanilla essence (total 6 parts).
Amount of jasmine essence = (24 L / 6 parts) * 3 parts = 12 L.

19 / 26

What is the greatest common factor of 36 and 54?

The greatest common factor of 36 and 54 is 18.

20 / 26

A boy delivered newspapers and was paid £1.40 for every 100 papers. How much was he paid for delivering 250 papers?

£2.85

£3.15

£3.75

£3.50

£3.00

£3.50
He earns £1.40 for 100 papers, so for 250 papers, it's £1.40 times 2.5, which equals £3.50.

21 / 26

A movie started at 6:50 PM, finished at 9:00 PM. How long was it?

100mins

70mins

130mins

110mins

90mins

The movie lasted 130 minutes from 6:50 PM to 9:00 PM.

22 / 26

A runner jogs 5.8 miles every day.
How many miles will he jog in 30 days?

176 m

170 m

172 m

178 m

174 m

5.8 miles/day x 30 days = 174 miles jogged in 30 days.

23 / 26

0.3 x 0.83 = ?

0.209

24.9

0.249

2.49

0.0249

0.83
x 0.3
------
0.249

24 / 26

0.9 x 4 = ?

3.66

0.036

3.6

0.36

0.9×4=3.6

25 / 26

A packet of biscuits costs £1.80. If the price increases by 10%, how much will the biscuits cost?

£1.98

£2.00

£1.95

£1.90

£2.10

£1.98
A 10% increase on £1.80 adds £0.18, making the new price £1.98.

26 / 26

500 ÷ x = 100

x = ?

500

0.2

(x = 5) Dividing 500 by x gives 100, so x must be 5.