GLMTHPT Esssential Maths Practice Tests

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1 / 26

430 x 22 = ?

9560

9450

9460

9440

430 x 22 = 9460

2 / 26

16 25 36

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

They can all be divided exactly by 4.

They are all square numbers.

They are all cube numbers.

They are all even numbers.

They are all odd numbers.

They are all square numbers.

3 / 26

10 20 30 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 multiples of 10.

They can all be divided exactly by 5.

They are all two-figure numbers.

They are all even numbers.

All of the above

They are all multiples of 10.

4 / 26

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

5 / 26

Organize these fractions from the biggest to the smallest.

2/3, 6/11, 8/13, 4/9

8/13, 2/3, 6/11, 4/9

8/13, 6/11, 4/9, 2/3

2/3, 8/13, 4/9, 6/11

2/3, 8/13, 6/11, 4/9

6 / 26

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

Multiply by three and subtract six

Triple your value

Double and add six

Add three- then multiply by two

Multiplying by 3 and subtracting 6 gives 12 NOT 18

7 / 26

3892 - 1789 = ?

2102

2203

2103

2202

3892 - 1789 = 2103

8 / 26

Work out XIII multiplied by III.

XLIX

XXXVII

XXXVI

XXXVIII

XXXIX

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

9 / 26

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

10 / 26

8² x 3 x 5² is NOT the same as which of the following?

2³ x 24 x 25

200 x 24

64 x 75

4² x 2² x 75

8 x 3³ x 24

11 / 26

What is the total weight of two of these blocks?

80Kg

120Kg

60Kg

40Kg

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

12 / 26

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

40 x 2 x 36

80 x 36

90 x 2³ x 4

2² x 3² x 80

3² x 4² x 60

13 / 26

56 x 98 = 5600 - ?

166

706

112

156

5600 is 56 x 100 (56 x 100) - (56 x 98) = 56 x 2 = 112

14 / 26

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

15 / 26

The area of the shaded triangle is 22.5 cm² What is the total area of the large triangle?

88.5cm²

67.5cm²

44.5cm²

45cm²

90cm²

The large triangle is made of 4 triangles each of which is same area as the shaded triangle. So, the area of large triangle = Area of shaded triangle x 4 Therefore, area of large triangle = 22.5 x 4 = 90cm²

16 / 26

Work out XI multiplied by VII.

LXXIII

LXXXI

LXVII

LXXIX

LXXVII

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

17 / 26

Work out V multiplied by XIV.

LXX

LXXX

LXV

V (5) x XIV (14) = LXX (70)

18 / 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.

19 / 26

A die has numbers labelled from 1 to 6.

What is the probability of rolling a number bigger than 4?

1/6

1/5

1/4

1/3

1/2

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

Numbers greater than 4 are: 5 , 6

So, there are two favourable outcomes.

Probability = Favourable outcomes / Possible outcomes = 2/6 = 1/3

20 / 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, 5/12, 4/15, 6/17

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

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

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

21 / 26

50 × p = 0.5

p = ?

0.1

0.02

0.01

(p = 0.01) Dividing 0.5 by 50 gives p.

22 / 26

6234 + 734 = ?

7068

6968

6967

7067

6234 + 734 = 6968

23 / 26

Two dice are rolled together.

What is the probability of rolling an odd number on both?

1/9

1/12

1/4

1/36

1/6

Probability of getting an odd number on each dice is 50% = 1/2

Probability of getting an odd number on both: 1/2 x 1/2 = 1/4

24 / 26

What is the missing number in this sequence?

920 912 ? 896 888

906

904

903

905

900

The sequence decreases by 8 each step; the missing number between 912 and 896 is 904.

25 / 26

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

792

791

794

793

788

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

26 / 26

v – 85 = -170

v = ?

255

-255

-85

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

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1 / 26

Arrange the numbers 7 3 9 4 to form the smallest possible number.

3947

9374

3479

9347

4739

Arranging the numbers 7394 to form the smallest possible number gives 3479.

2 / 26

If a cyclist travels 30 kilometers in 2 hours, what is their average speed?

12 km/h

25 km/h

15 km/h

20 km/h

10 km/h

The average speed is 15 km/h.

3 / 26

To create a luxurious bath oil, mix 3 parts lavender oil, 2 parts chamomile oil, and 5 parts almond oil.
How much lavender oil is required to prepare 30 litres of this bath oil?

15L

12L

Total mixture = 30 L.
Ratio = 3 parts lavender oil, 2 parts chamomile oil, 5 parts almond oil (total 10 parts).
Amount of lavender oil = (30 L / 10 parts) * 3 parts = 9 L.

4 / 26

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

205 minutes

190 minutes

195 minutes

210 minutes

200 minutes

5 / 26

What is the value of 7³?

343

147

294

7 cubed (7³) is 7x7x7 = 49x7= 343

6 / 26

If 1 litre of paint covers 10m², how many litres are needed for 45m²?

4.5 litres

4 litres

6 litres

5 litres

5.5 litres

Dividing 45 square meters by the coverage rate (10 square meters per liter) gives 4.5 liters needed.

7 / 26

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

8 / 26

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

250meters

350meters

200meters

300meters

150meters

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

9 / 26

What is the weight of an apple?

200g

0.4K

40g

0.8Kg

20g

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

10 / 26

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

25%

30%

35%

20%

33.3%

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.

11 / 26

Check the timetable above. If the 11:35 departure is delayed and starts at 11:47, what time will it reach Neath?

12:54 PM

12:51 PM

12:53 PM

12:55 PM

12:52 PM

12 / 26

If 15x = 225, what is the value of x?

Solving 15x = 225 for x gives x = 15.

13 / 26

Divide 360 by 6. What do you get?

Dividing 360 by 6 gives each part as 60.

14 / 26

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

2hr 45min

2hr 35min

2hr 50min

2hr 40min

2hr 55min

15 / 26

How many corners does a hexagon have?

A hexagon has 6 corners.

16 / 26

In preparing a mixed berry smoothie, use 2 parts blueberries, 3 parts strawberries, and 1 part raspberries. How many litres of strawberries are needed to make 30 litres of this smoothie?

10L

15L

12L

Total mixture = 30 L. Ratio = 2 parts blueberries, 3 parts strawberries, 1 part raspberries (total 6 parts). Amount of strawberries = (30 L / 6 parts) * 3 parts = 15 L.

17 / 26

What is the weight of each block?

40Kg

100Kg

120Kg

60Kg

80Kg

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

18 / 26

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

1200

1100

1250

1150

1000

483 + 667 = 1150

19 / 26

Which is larger, 3/5 or 2/3?

3/5

Cannot be determined

They are equal

2/3

Depends on the context

2/3 is larger than 3/5.

20 / 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

44 cm²

50 cm²

45 cm²

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

21 / 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?

15kg

9kg

18kg

6kg

12kg

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.

22 / 26

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

-2°C

8°C

-4°C

4°C

-6°C

22°C - 26°C = -4°C

23 / 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.

24 / 26

The table shows how long Joey trained everyday. What is the range?

45 min

55 mins

1 hr 45 mins

1 hr 15 mins

1 hr 30 mins

The range would be the difference between the longest and the shortest duration. Longest duration is 2 hr 15 mins Shortest duration is 45 mins Therefore, Range = 2 hr 15 mins - 45 mins = 1 hr 30 mins

25 / 26

If a cube has an edge length of 3 cm, what is its volume?

9cm³

18cm³

36cm³

9cm³

27cm³

The volume of a cube with an edge length of 3 cm is 3^3 or 27 cm³.

26 / 26

The Bar Chart shows number of hours spent by Lisa studying her five subjects in a week. Next week, Lisa wants to spend 2 more hours on Art, keeping her efforts same for all other subjects.

By what percentage will her total study hours for the week increase compared to the previous week?

16%

14%

12%

10%

Total number of hours in previous week = 20Hrs Total Number of hours in next week = 22Hrs Increase in number of hours = 2Hrs % increase in number of hours =

$\frac{2}{20}$

× 100 = 10%

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1 / 26

874 + 2865 = ?

3749

3739

3539

3639

874 + 2865 = 3739

2 / 26

What is the missing number in this sequence? 102 97 92 ? 82

The sequence decreases by 5 each step; the missing number between 92 and 82 is 87.

3 / 26

k – 50 = 50

k = ?

-50

100

-100

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

4 / 26

6020 - 2957 = ?

2963

3064

3063

3163

6020 - 2957 = 3063

5 / 26

6720 ÷ 24 = ?

279

280

290

270

6720 ÷ 24 = 280

6 / 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?

1:2

2:5

6:9

9:12

7 / 26

720 ÷ x = 90

x = ?

800

720

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

8 / 26

9870 ÷ 15 = ?

648

678

658

668

9870 ÷ 15 = 658

9 / 26

234 x 13 = ?

3032

3142

3042

3041

234 x 13 = 3042

10 / 26

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

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

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

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

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

11 / 26

9000 - 3890 = ?

5110

5210

5100

5111

9000 - 3890 = 5110

12 / 26

i – 32 = 68

i = ?

100

-100

-36

(i = 100) Adding 32 to 68 gives i.

13 / 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

252 meters

308 meters

448 meters

14 / 26

500 ÷ x = 100

x = ?

0.2

500

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

15 / 26

620 x 15 = ?

9200

9400

9300

9301

620 x 15 = 9300

16 / 26

u + 72 = 144

u = ?

-72

-144

216

(u = 72) Subtracting 72 from 144 gives u.

17 / 26

9876 - 4378 = ?

5499

5498

5598

5398

9876 - 4378 = 5498

18 / 26

n – 7 = -14

n = ?

-21

-7

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

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

Olivia starts with the number 9.
Which of these instructions does not give her an answer of 27?

Triple your value

Add eighteen

Double and add nine

Multiply by two- then add seven

Multiplying by two and adding seven gives 25 NOT 27

21 / 26

360 ÷ x = 90

x = ?

360

0.25

(x = 4) Dividing 360 by x gives 90, so x must be 4.

22 / 26

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

Subtract two - then add twelve

Halve your value then multiply by 4

Multiply by two- then subtract five

Double your value

Multiplying by 2 and subtracting 5 gives 15 NOT 20

23 / 26

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

Subtract six, then multiply by six

Double your value, then add eight

Add four and double

Subtract five- then double

Subtracting five and then doubling gives 12 NOT 30

24 / 26

A dance class has boys and girls in a ratio of 5:7. If there are 60 children in total, how many boys need to join to make the number of boys and girls equal?

15 boys

10 boys

20 boys

5 boys

25 / 26

In a scout group of 50 members, the ratio of boys to girls is 1:4. How many more boys are needed to achieve a 1:2 ratio?

15 boys

20 boys

10 boys

25 boys

26 / 26

6475 - 647 = ?

5827

5728

5829

5828

6475 - 647 = 5828

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1 / 26

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

£27.50

£22.50

£20.00

£25.00

£30.00

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

2 / 26

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

3°C

11°C

3°F

-3°C

4°C

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

3 / 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?

6kg

15kg

12kg

3kg

9kg

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.

4 / 26

What is the weight of the bananas?

11Kg

2.25Kg

11.2Kg

1.25Kg

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

5 / 26

Look at the bar chart. In percentage, how many more Paperback were sold as compared to Audiobooks?

92% more

122% more

133% more

113.33% more

91.33% more

6 / 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

18kg

12kg

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.

7 / 26

Jane has £2.45. She buys a pencil for £0.75. How much money does she have left?

£1.70

£2.00

£1.95

£1.90

£2.10

2.45 - 0.75 = 1.70

After spending £0.75, Jane has £1.70 left.

8 / 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

9 / 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.

10 / 26

How many 5p coins are needed to make £2?

200

400

£2 is equal to 200p, and dividing 200 by 5 gives 40. So, you need 40 5p coins to make £2.

11 / 26

Which of these shapes has exactly four right angles?

Octagon

Circle

Triangle

Square

Hexagon

A square has exactly four right angles.

12 / 26

In a custom coffee blend, there are 4 parts Arabica beans to 1 part Robusta beans.
How many litres of Arabica beans are needed to make 25 litres of this coffee blend?

25L

20L

15L

10L

Total mixture = 25 L.
Ratio = 4 parts Arabica beans, 1 part Robusta beans (total 5 parts).
Amount of Arabica beans = (25 L / 5 parts) * 4 parts = 20 L.

13 / 26

A rope 4m long is cut into 3 equal parts. What is the length of each part?

1.5m

0.75m

1.33m

2.76m

dividing 4 by 3 = 1.33m

14 / 26

Check the timetable above. If the 11:35 departure is delayed and starts at 11:47, what time will it reach Neath?

12:51 PM

12:52 PM

12:53 PM

12:55 PM

12:54 PM

15 / 26

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

10 km

0.01 km

0.001 km

0.1 km

1 km

100 meters equals 0.1 kilometers.

16 / 26

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

150%

100%

200%

250%

50%

The sales increased by 100%.

17 / 26

How many total degrees are in all the angles of an equilateral triangle together?

120°

90°

180°

360°

60°

Each angle in an equilateral triangle is 60° so the answer is 180°.

All angles of any triangle sum to 180°.

18 / 26

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

19 / 26

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

1200

1000

1250

1150

1100

483 + 667 = 1150

20 / 26

Complete the equation: 2/3 = ?/9

What is ?

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

21 / 26

Which of these is not a factor of 36?

5 is not a factor of 36, as it does not divide evenly into it.

22 / 26

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

250meters

150meters

200meters

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.

23 / 26

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

24 / 26

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

45km/h

60km/h

30km/h

15km/h

75km/h

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

ie. 45 km/h

25 / 26

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

26 / 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.

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1 / 26

8123 - 500 = ?

7623

7622

7523

7723

8123 - 500 = 7623

2 / 26

3892 - 1789 = ?

2103

2203

2102

2202

3892 - 1789 = 2103

3 / 26

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

Multiply by two- then subtract five

Subtract two - then add twelve

Halve your value then multiply by 4

Double your value

Multiplying by 2 and subtracting 5 gives 15 NOT 20

4 / 26

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

213

208

214

211

212

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

5 / 26

If a camp has 70 children split into boys and girls in a ratio of 7:3, how many girls must be added to make the ratio even at 1:1?

14 girls

21 girls

7 girls

28 girls

6 / 26

430 x 22 = ?

9460

9450

9440

9560

430 x 22 = 9460

7 / 26

What is the weight of an apple?

0.8Kg

20g

200g

40g

0.4K

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

8 / 26

What is the missing number in this sequence? 321 313 ? 297 289

301

304

306

307

305

The sequence decreases by 8 each step; the missing number between 313 and 297 is 305.

9 / 26

3600 ÷ 20 = ?

180

160

170

190

3600 ÷ 20 = 180

10 / 26

What is the missing number in this sequence? 399 391 ? 375 367

383

382

384

379

385

The sequence decreases by 8 each step; the missing number between 391 and 375 is 383.

11 / 26

874 + 2865 = ?

3639

3749

3739

3539

874 + 2865 = 3739

12 / 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

448 meters

252 meters

308 meters

13 / 26

175 × p = 0

p = ?

175

-1

0.1

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

14 / 26

In a bag of candies, the ratio of red to blue candies is 4:1, and the ratio of blue to green candies is 3:2. What is the ratio of red to green candies?

6:1

3:1

8:3

4:3

Red to Blue -> 4:1 , Blue to Green -> 3:2

To make the blue candies the same in both ratios, we make Red to blue ration -> 12 : 3 ,

Now the ratio is , Red:Blue:Green = 12:3:2

Red:Green -> 12:2 OR 6:1

15 / 26

76 x 33 = ?

2608

2508

2518

2408

76 x 33 = 2508

16 / 26

s + 60 = 120

s = ?

-60

-120

180

(s = 60) Subtracting 60 from 120 gives s.

17 / 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

40 meters

80 meters

70 meters

18 / 26

4732 ÷ 14 = ?

338

348

328

337

4732 ÷ 14 = 338

19 / 26

What is the total weight of two of these blocks?

60Kg

80Kg

40Kg

120Kg

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

20 / 26

g – 20 = -40

g = ?

-20

-60

(g = -20) Adding -20 and -20 gives g.

21 / 26

Sort these fractions from the largest to the smallest.

4/9, 3/10, 7/8, 5/7, 1/2

7/8, 5/7, 4/9, 3/10, 1/2

7/8, 5/7, 4/9, 1/2, 3/10

7/8, 5/7, 1/2, 4/9, 3/10

7/8, 5/7, 1/2, 3/10, 4/9

22 / 26

720 ÷ x = 90

x = ?

720

800

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

23 / 26

All rows and columns of this grid add up to 50. Find ?

24 / 26

m + 8 = 3

m = ?

-5

-11

(m = -5) Subtracting 8 from 3 gives m.

25 / 26

Emma starts with the number 2.
Which of these instructions does not give her an answer of 12?

Double and add four

Multiply by five- then add two

Multiply by six

Triple and add six

Doubling and adding four gives 8 NOT 12

26 / 26

b + 6 = 11

b = ?

-5

(b = 5) Subtracting 6 from 11 gives b.

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1 / 26

The clock shows 3:05 PM. What time will it be in 45 minutes?

4:30PM

3:50PM

5:00PM

4:45PM

4:00PM

Adding 45 minutes to 3:05 PM gives 3:50 PM.

2 / 26

What is the sum of 0.75 and 1.2?

1.75

1.85

2.00

1.65

1.95

The sum of 0.75 and 1.2 is 1.95.

3 / 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.

4 / 26

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

5 / 26

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

6 / 26

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

44 cm²

30 cm²

40 cm²

50 cm²

45 cm²

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

7 / 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

8 / 26

How much does each of these pots weigh?

30Kg

20Kg

15Kg

25Kg

50Kg

2 x Pot Weight + 10Kg = 60Kg

2 x Pot Weight = 50Kg

Each pot weight = 25Kg

9 / 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?

12:02 PM

12:04 AM

11:51 AM

11:58 AM

12:04 PM

10 / 26

This table has the survey result of 100 men and women about their favourite activity. How many women like to walk?

11 / 26

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

0.01 km

0.1 km

1 km

10 km

0.001 km

100 meters equals 0.1 kilometers.

12 / 26

A rope 4m long is cut into 3 equal parts. What is the length of each part?

2.76m

1.5m

1.33m

0.75m

dividing 4 by 3 = 1.33m

13 / 26

The table shows favourite fitness activity of 100 people. How many women like to walk?

Total number of people = 100

Total Men = 26 + 10 + 9 = 45
So, Women = 100 - 45 = 55

So, x + 21 + 15 = 55
x + 36 = 55
x = 55 - 36
x = 19

14 / 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

1:57 AM

1:49 AM

2:13 AM

2:23 AM

15 / 26

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

4°C

11°C

3°F

3°C

-3°C

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

16 / 26

What is 30% of 150?

30% of 150 is 45.

17 / 26

This is the time table of bus 702 from Windsor to London Victoria. What time does the bus departing from Windsor at 10:30 reach Hammersmith?

11:20

11:35

11:30

11:25

11:23

18 / 26

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

150000ml

15ml

15000ml

150ml

1500ml

1.5 liters is equivalent to 1500 milliliters.

19 / 26

Which of the following is NOT a factor of 36?

5 is not a factor of 36.

20 / 26

What is the result when you subtract 15 from 37?

Subtracting 15 from 37 gives 22.

21 / 26

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

-2°C

8°C

-4°C

4°C

-6°C

22°C - 26°C = -4°C

22 / 26

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

2hr 55min

2hr 45min

2hr 50min

2hr 40min

2hr 35min

23 / 26

If a cube has an edge length of 3 cm, what is its volume?

9cm³

36cm³

18cm³

27cm³

The volume of a cube with an edge length of 3 cm is 3^3 or 27 cm³.

24 / 26

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

£48

£49.50

£50.50

£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).

25 / 26

To concoct a magic potion, a wizard mixes 6 parts dragon blood, 3 parts phoenix feather, and 11 parts unicorn tears.
How much dragon blood is needed to make 40 litres of this potion?

24L

15L

30L

18L

12L

Total mixture = 40 L.
Ratio = 6 parts dragon blood, 3 parts phoenix feather, 11 parts unicorn tears (total 20 parts).
Amount of dragon blood = (40 L / 20 parts) * 6 parts = 12 L.

26 / 26

What is the weight of each block?

60Kg

100Kg

40Kg

120Kg

80Kg

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

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1 / 26

3.5 x 4 = ?

140

14.4

0.14

1.4

3.5×4=14

2 / 26

What is 40% of 70?

Calculate 40% of 70 by multiplying 70 by 0.40 ie. 28.

3 / 26

7.2 x 100 = ?

7200

0.72

720

7.2

7.2×100=720

4 / 26

All rows and columns of this grid add up to 50. Find ?

5 / 26

What is the weight of the cat?

17Kg

7Kg

0.75Kg

7.75Kg

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

6 / 26

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

33.3%

20%

25%

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

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

7 / 26

A survey collected 500 responses.
1/5 of the responses were from people under 20.
How many responses were from people under 20?

100

200

1/5 of 500 survey responses were from people under 20, which equals 100 responses.

8 / 26

4.9 + 5.1 = ?

9.6

9.8

10.0

10.2

10.1

4.9+5.1=10

9 / 26

A marathon's total distance is 42.195 kilometers.
A runner completes one-third of it.
How far has the runner gone in kilometers?

14.2km

14km

14.1km

13.5km

14.065km

The runner has gone 14.065 kilometers.
One-third of 42.195 km is approximately 14.065 km.

10 / 26

A farm has 600 chickens.
2/5 of the chickens are sold.
How many chickens are sold?

360

120

240

180

300

2/5 of 600 chickens are sold, which equals 240 chickens.

11 / 26

8 27 64 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 prime numbers.

They can all be divided exactly by 3.

They are all even numbers.

They are all cube numbers.

12 / 26

Eliza thinks of a number. She adds 8 to her number. Then divides the result by 2. The result is 10. What number did Eliza first think of?

Working backwards, Multiply 10 by 2 -> 20.
Subtract 8 from 20 -> Answer is 12

13 / 26

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

£380

£400

£420

£360

£440

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

14 / 26

300 × p = 300

p = ?

100

300

0.1

(p = 1) 300 times p equals 300, so p must be 1.

15 / 26

p – 50 = 50

p = ?

-50

-100

100

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

16 / 26

What is (8²)?

8 x 8 = 64

17 / 26

Ava had 5 boxes.
Each box weighed 800 grams.
How many KILOGRAMS was this altogether?

4.5kg

4kg

4000kg

4500kg

40kg

5 x 800gm = 4000gm OR 4KG

18 / 26

430 x 22 = ?

9460

9560

9440

9450

430 x 22 = 9460

19 / 26

2.5 + 3.8 = ?

6.1

6.3

6.0

5.8

6.5

2.5+3.8=6.3

20 / 26

A train journey started at 1:05 PM, ended at 1:55 PM. How long did it take?

60mins

30mins

50mins

40mins

45mins

The train journey took 50 minutes from 1:05 PM to 1:55 PM.

21 / 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?

3kg

3000 litres

30 litres

3 litres

300 litres

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

22 / 26

A number is subtracted by 10 and then squared. The result is 16. What is the original number?

Going backwards, square root of 16 is 4.

Adding 4 and 10 is 14

23 / 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, 2/3, 1/3, 2/5, 3/4

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

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

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

24 / 26

What percentage of £10 is £2.50?

25%

20%

15%

10%

50%

25%
£2.50 is 25% of £10 because £2.50 is one-quarter of £10.

25 / 26

A concert ticket costs £75. A 5% discount is offered for early booking. How much is the ticket with the discount?

£69.75

£72.00

£68.50

£71.25

£70.50

£71.25
A 5% discount on a £75 ticket saves £3.75, so the ticket costs £71.25.

26 / 26

Arrange the numbers 7 3 9 4 to form the smallest possible number.

9374

9347

4739

3947

3479

Arranging the numbers 7394 to form the smallest possible number gives 3479.

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1 / 26

7.2 x 3 = ?

0.216

21.16

216

2.16

21.6

7.2×3=21.6

2 / 26

This is the time table of bus 702 from Windsor to London Victoria. What time does the bus departing from Windsor at 10:30 reach Hammersmith?

11:25

11:30

11:35

11:20

11:23

3 / 26

Arrange these fractions in descending order.

13/14, 11/12, 15/16, 9/16, 7/14

15/16, 11/12, 13/14, 9/16, 7/14

15/16, 13/14, 11/12, 9/16, 7/14

11/12, 9/16, 7/14, 13/14, 15/16

15/16, 11/12, 13/14, 7/14, 9/16

4 / 26

0.5 x 12 = ?

0.06

6.6

0.6

0.5×12=6

5 / 26

9.0 - 8.1 = ?

0.7

0.9

0.8

1.0

0.6

9.0−8.1=0.9

6 / 26

A train left at 10.20 , arrived at 11.15. How long did the journey take?

55mins

95mins

65mins

45mins

75mins

The train journey took 55 minutes from 10:20 to 11:15.

7 / 26

s + 60 = 120

s = ?

180

-120

-60

(s = 60) Subtracting 60 from 120 gives s.

8 / 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?

200 passengers

190 passengers

210 passengers

220 passengers

180 passengers

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

9 / 26

What is the height of a standard basketball hoop in meters?

3.05m

3050m

30.5m

0.305m

305m

The height of a standard basketball hoop in meters is 3.05m.

10 / 26

Alex thinks of a number. He adds 9 to his number. Then divides by 3. The result is 5. What number did Alex first think of?

Working backwards, Multiply 5 by 3 -> 15.
Subtract 9 from 15 -> Answer is 6

11 / 26

56 x 98 = 5600 - ?

156

166

112

706

5600 is 56 x 100 (56 x 100) - (56 x 98) = 56 x 2 = 112

12 / 26

A charity event raises £1,800. If they give away 75% to charity, how much do they retain?

£400

£350

£500

£300

£450

£450
Retaining 25% of £1,800 gives £450.

13 / 26

A ship set sail at 5:15 AM, docked at 6:45 AM. How long was the voyage?

90mins

60mins

30mins

150mins

120mins

The voyage lasted 90 minutes from 5:15 AM to 6:45 AM.

14 / 26

62 x 99 = 6200 - ?

162

712

172

6200 is 62 x 100 (62 x 100) - (62 x 99) = 62 x 1 = 62

15 / 26

Arrange these fractions in ascending order.

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

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

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

16 / 26

0.85 x 10 = ?

8.55

8.5

0.085

0.85

0.85×10=8.5

17 / 26

The Cooking session started at 11:00 AM, ended at 1:30 PM. How long was the session?

120mins

90mins

180mins

210mins

150mins

The cooking session lasted 150 minutes from 11:00 AM to 1:30 PM.

18 / 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

19 / 26

A room is 9 meters wide.
If a rug covering half the width is placed, how wide is the rug in meters?

4.75m

4.5m

4.25m

4.5 meters
The rug covering half the width of the room is 4.5 meters wide.

20 / 26

Work out XVIII multiplied by II.

XXXVIII

XXXIV

XXXII

XXX

XXXVI

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

21 / 26

A marathon began at 7:00 AM, concluded at 11:30 AM. How long did it last?

210mins

150mins

330mins

180mins

270mins

The marathon lasted 270 minutes from 7:00 AM to 11:30 AM.

22 / 26

To prepare a fertilizer mix, you need 3 parts nitrogen, 2 parts phosphorus, and 5 parts potassium.
How much phosphorus is needed to prepare 50 litres of this fertilizer?

15L

10L

20L

25L

Total mixture = 50 L.
Ratio = 3 parts nitrogen, 2 parts phosphorus, 5 parts potassium (total 10 parts).
Amount of phosphorus = (50 L / 10 parts) * 2 parts = 10 L.

23 / 26

A number is subtracted by 10 and then squared. The result is 16. What is the original number?

Going backwards, square root of 16 is 4.

Adding 4 and 10 is 14

24 / 26

Webinar started at 8:00 PM, concluded at 9:30 PM. How long was it?

120mins

30mins

150mins

90mins

60mins

The webinar lasted 90 minutes from 8:00 PM to 9:30 PM.

25 / 26

There are 180 days in a school year.
Students attend school for 2/3 of those days.
How many days do students attend school?

30days

90days

60days

150days

120days

Students attend 2/3 of 180 school days, which equals 120 days.

26 / 26

The flight left at 3:00 AM, landed at 6:15 AM. How long was the flight?

195mins

165mins

75mins

225mins

135mins

The flight was 195 minutes from 3:00 AM to 6:15 AM.

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1 / 26

A meeting started at 3:00 PM, ended at 4:45 PM. How long did it last?

75mins

105mins

85mins

45mins

95mins

The meeting lasted 105 minutes from 3:00 PM to 4:45 PM.

2 / 26

The cooking class started at 1:40 PM, ended at 4:15 PM. How long was the class?

135mins

155mins

165mins

95mins

175mins

The cooking class lasted 155 minutes from 1:40 PM to 4:15 PM.

3 / 26

Work out VII multiplied by XIII.

XCI

XCII

XCV

LXXXI

XCVI

VII (7) x XIII (13) = XCI (91)

4 / 26

Jake thinks of a number. He divides his number by 4. Then adds 2. The result is 5. What number did Jake first think of?

Working backwards, Subtract 2 from 5 -> 3.
Multiply 3 by 4 -> Answer is 12

5 / 26

For a painting project, a mix of 4 parts white paint, 1 part black paint, and 2 parts gray paint is used.
How much black paint is required to make 28 litres of this paint mix?

Total mixture = 28 L.
Ratio = 4 parts white paint, 1 part black paint, 2 parts gray paint (total 7 parts).
Amount of black paint = (28 L / 7 parts) * 1 part = 4 L.

6 / 26

Ethan thinks of a number. He doubles his number. Then subtracts 14. The result is 4. What number did Ethan first think of?

Working backwards, Add 14 and 4 -> 18.
Half of 18 -> Answer is 9

7 / 26

9876 - 4378 = ?

5499

5598

5398

5498

9876 - 4378 = 5498

8 / 26

Which of the following is NOT a factor of 36?

5 is not a factor of 36.

9 / 26

10 20 30 The three numbers above are alike in some ways. Select ONE of the following to say one way in which they are alike.

All of the above

They are all two-figure numbers.

They can all be divided exactly by 5.

They are all multiples of 10.

They are all even numbers.

They are all multiples of 10.

10 / 26

Arrange the numbers 7 3 9 4 to form the smallest possible number.

9374

3947

9347

4739

3479

Arranging the numbers 7394 to form the smallest possible number gives 3479.

11 / 26

In a survey, 60 people were asked about their favorite season.
1/2 of them chose summer.
How many people chose summer?

35 people

20 people

30 people

25 people

40 people

One-half of the 60 people surveyed chose summer, resulting in 30 people.

12 / 26

What is the likely length of a standard yoga mat in centimeters?

17300cm

173cm

1.73cm

2730cm

17.3cm

The likely length of a standard yoga mat in centimeters is 173cm.

13 / 26

A marathon's total distance is 42.195 kilometers.
A runner completes one-third of it.
How far has the runner gone in kilometers?

14.2km

14km

14.1km

14.065km

13.5km

The runner has gone 14.065 kilometers.
One-third of 42.195 km is approximately 14.065 km.

14 / 26

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

8°C

-4°C

-6°C

4°C

-2°C

22°C - 26°C = -4°C

15 / 26

What is the missing number in this sequence? 1001 995 ? 983 977

988

989

985

990

991

The sequence decreases by 6 each step; the missing number between 995 and 983 is 989.

16 / 26

A recipe calls for 2 litres of milk.
A chef uses 3/4 of the milk for the recipe.
How many litres of milk does the chef use?

0.5lt

2lt

1.25lt

1.5lt

1lt

The chef uses 3/4 of 2 litres of milk, which equals 1.5 litres.

17 / 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.

18 / 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

2:5

9:12

1:2

19 / 26

The area of the shaded triangle is 22.5 cm² What is the total area of the large triangle?

88.5cm²

90cm²

45cm²

44.5cm²

67.5cm²

20 / 26

What is the missing number in this sequence?

920 912 ? 896 888

903

900

906

904

905

The sequence decreases by 8 each step; the missing number between 912 and 896 is 904.

21 / 26

A newborn giraffe is 1.75 meters tall.
It grows 25 centimeters in its first month.
How tall is it then in meters?

1.95m

2.25m

1.90m

2.05m

2.0 meters
The giraffe is now 1.75 meters + 0.25 meters tall.

22 / 26

6.3 ÷ 3 = ?

2.3

1.9

2.1

2.0

2.2

6.3÷3=2.1

23 / 26

In a classroom of 36 students, boys to girls ratio is 2:4. How many girls need to leave to achieve a ratio of 1:1?

18 girls

6 girls

9 girls

12 girls

24 / 26

There are 24 apples in a basket.
1/3 of them are green and the rest are red.
How many red apples are there?

16 apples

18 apples

14 apples

20 apples

24 apples

Subtracting one-third (8) of the apples that are green from the total 24 apples gives 16 red apples.

25 / 26

What is 55% of 200?

100

105

110

120

Calculate 55% of 200 by multiplying 200 by 0.55 ie. 110.

26 / 26

0.9 x 4 = ?

3.66

3.6

0.036

0.36

0.9×4=3.6

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1 / 26

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

2 / 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.

3 / 26

A rope was 3 meters long.
It was cut into three equal pieces.
How long is each piece in centimeters?

150cm

100cm

101cm

90cm

75cm

1 meter or 100 centimeters
Each piece of rope is 1 meter, or 100 centimeters long.

4 / 26

A rope 4m long is cut into 3 equal parts. What is the length of each part?

2.76m

1.5m

0.75m

1.33m

dividing 4 by 3 = 1.33m

5 / 26

A farmer harvested 6 baskets of potatoes.
Each basket weighed 2.3 kilograms.
How much did all the baskets weigh together in grams?

13800g

12800g

1200g

13700g

13900g

6 x 2.3kg = 13.8 KG OR 13800 gm

6 / 26

What percentage of £10 is £2.50?

20%

15%

10%

50%

25%

25%
£2.50 is 25% of £10 because £2.50 is one-quarter of £10.

7 / 26

0.06 x 1000 = ?

600

0.6

0.06

0.06×1000=60

8 / 26

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

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

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

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

9 / 26

A school received 720 new books.
1/9 of the books are for the library.
How many books are for the library?

160

120

1/9 of 720 new books are for the library, which equals 80 books.

10 / 26

73 x 99 = 7300 - ?

183

723

173

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

11 / 26

If it's 3 pm in Tokyo, and Tokyo is 9 hours ahead of London, what time is it in London?

12pm

5am

6pm

6am

12am

Tokyo is 9 hours ahead of London, so 3 pm in Tokyo is 6 am in London.

12 / 26

What is the value of (5²)?

5 x 5 = 25

13 / 26

Work out XVIII multiplied by II.

XXXII

XXXVI

XXX

XXXIV

XXXVIII

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

14 / 26

e – 100 = 0

e = ?

-100

200

100

(e = 100) Adding 100 to 0 gives e.

15 / 26

6720 ÷ 24 = ?

279

270

280

290

6720 ÷ 24 = 280

16 / 26

32 x 99 = 3200 - ?

132

142

682

3200 is 32 x 100 (32 x 100) - (32 x 99) = 32 x 1 = 32

17 / 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.

18 / 26

A dance class has boys and girls in a ratio of 5:7. If there are 60 children in total, how many boys need to join to make the number of boys and girls equal?

20 boys

5 boys

15 boys

10 boys

19 / 26

A meal deal costs £6 but with a student ID, there's a 15% discount. How much does it cost with the discount?

£5.40

£4.50

£5.50

£4.80

£5.10

£5.10
A 15% discount on a £6 meal deal saves £0.90, so the deal costs £5.10.

20 / 26

0.55 x 1000 = ?

550

5500

0.55

5.5

0.55×1000=550

21 / 26

A survey collected 500 responses.
1/5 of the responses were from people under 20.
How many responses were from people under 20?

100

200

1/5 of 500 survey responses were from people under 20, which equals 100 responses.

22 / 26

A classroom is 10 meters long.
It was renovated to be 20% longer.
How long is it now in meters?

10.2m

12m

12.5m

10m

11m

12 meters
The classroom is now 10 meters + (20% of 10 meters).

23 / 26

A bottle contains 750 ml of water.
Sarah drinks 1/5 of the water.
How many ml of water did she drink?

100ml

150ml

1500ml

250ml

200ml

Sarah drinks 1/5 of 750 ml of water, which equals 150 ml.

24 / 26

A car's odometer read 152,305 kilometers.
After a long trip, it read 152,780 kilometers.
How many kilometers did the car travel?

475.5km

460km

475km

485km

450km

475 kilometers
The car traveled 152,780 kilometers - 152,305 kilometers.

25 / 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?

9:12

2:5

6:9

1:2

26 / 26

The flight took off at 12:30 AM, landed at 2:00 AM. How long was the flight?

150mins

120mins

90mins

60mins

30mins

The flight duration was 90 minutes from 12:30 AM to 2:00 AM.