GLMTHPT Esssential Maths Practice Tests

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1 / 26

A cat sleeps 14 hours every day.
How many hours will it sleep in 7 days?

100 hrs

98 hrs

102 hrs

94 hrs

96 hrs

14 hours/day x 7 days = 98 hours of sleep in 7 days.

2 / 26

The perimeter of the large equilateral triangle is 24cm. What is the total perimeter of two shaded triangles?

20cm

12cm

24cm

16cm

18cm

Perimeter of the larger triangle is 24cm. So, each side is 24/3 = 8cm. This makes the shaded triangles sides 4cm each. Perimeter of each smaller triangle 4x3 = 12cm. Total perimeter of two shaded triangles = 12 x 2 = 24cm

3 / 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?

40 meters

70 meters

60 meters

80 meters

4 / 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 even numbers.

All of the above

They can all be divided exactly by 5.

They are all multiples of 10.

They are all two-figure numbers.

They are all multiples of 10.

5 / 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

30 boys

15 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.

6 / 26

7641 - 2310 = ?

5330

5431

5331

5231

7641 - 2310 = 5331

7 / 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 two-figure numbers.

They are all square numbers.

They can all be divided exactly by 3.

They are all even numbers.

They are all prime numbers.

8 / 26

A group of friends shared 7 chocolate bars.
Each bar weighed 100 grams.
How much did the chocolate bars weigh in total in kilograms?

0.7kg

70g

770g

700kg

7kg

7 chocolate bars x 100 grams/bar = 700 grams = 0.7 kilograms.

9 / 26

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

788

792

794

793

791

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

10 / 26

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

11 / 26

Work out VIII multiplied by IV.

XXXII

XXXVI

XXVIII

XXXIV

XXIV

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

12 / 26

Ajay needs to complete 12 tasks.

There are twice as many easy tasks as hard tasks.

How many easy tasks are there?

8 easy tasks

4 easy tasks

6 easy tasks

10 easy tasks

12 easy tasks

Assuming x hard tasks, twice as many easy tasks would be 2x; 2x + x = 12, therefore number of easy tasks i.e., 2x = 8.

13 / 26

48 x 99 = 4800 - ?

698

158

148

4800 is 48 x 100 (48 x 100) - (48 x 99) = 48 x 1 = 48

14 / 26

76 x 33 = ?

2608

2508

2408

2518

76 x 33 = 2508

15 / 26

9000 - 3890 = ?

5110

5210

5100

5111

9000 - 3890 = 5110

16 / 26

9888 ÷ 12 = ?

825

823

834

824

9888 ÷ 12 = 824

17 / 26

6234 + 734 = ?

6968

7068

6967

7067

6234 + 734 = 6968

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?

5 boys

15 boys

20 boys

10 boys

19 / 26

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

317

323

320

321

322

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

20 / 26

v – 85 = -170

v = ?

255

-255

-85

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

21 / 26

In a competition, 28 songs were performed.
There were three times as many solo performances as group performances.
How many solo performances were there?

21 solo performances

18 solo performances

20 solo performances

19 solo performances

22 solo performances

Assuming x group performances, three times as many solo performances would be 3x; 3x + x = 28, therefore number of solo performances i.e., 3x = 21.

22 / 26

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

64 x 75

4² x 2² x 75

2³ x 24 x 25

200 x 24

8 x 3³ x 24

23 / 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.

24 / 26

Sophia starts with the number 12.
Which of these instructions does not give her an answer of 24?

Double your value

Subtract six- then multiple by 4

Add twelve and double

Multiply by three- then subtract twelve

Adding twelve and doubling gives 48 NOT 24

25 / 26

982 + 2098 = ?

3080

3070

3090

3081

982 + 2098 = 3080

26 / 26

56 x 98 = 5600 - ?

166

112

706

156

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

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1 / 26

How much does each brick weigh? brickweight

15Kg

12Kg

16Kg

8Kg

14Kg

2 / 26

What is the weight of an apple?

0.4K

200g

20g

0.8Kg

40g

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

3 / 26

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

200meters

300meters

150meters

350meters

250meters

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

4 / 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?

12kg

9kg

3kg

6kg

4.5kg

Total mixture = 12 kg.
Ratio = 3 parts gold, 2 parts silver, 1 part copper (total 6 parts).
Amount of gold = (12 kg / 6 parts) * 3 parts = 4.5 kg.

5 / 26

A rectangle has a length of 8 cm and a width of 4 cm. What is its area?

12cm²

16cm²

24cm²

20cm²

32cm²

The area of a rectangle is length times width, so 8 cm times 4 cm is 32 cm².

6 / 26

Which of the following is NOT a factor of 36?

5 is not a factor of 36.

7 / 26

How many corners does a hexagon have?

A hexagon has 6 corners.

8 / 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.

9 / 26

What is the weight of the cat?

0.75Kg

7Kg

17Kg

7.75Kg

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

10 / 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?

35L

40L

20L

30L

25L

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.

11 / 26

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

12 / 26

The table shows the mode of transport taken by kids to go to school. The mean is 20. How many kids take train to go to school?

13 / 26

Calculate: 6 + 2 * (3 + 4) - 5.

The calculated result is 21.

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

2:13 AM

2:23 AM

1:49 AM

15 / 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)

10(m^3)

7(m^3)

5(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.

16 / 26

Which of these shapes has exactly four right angles?

Hexagon

Square

Circle

Octagon

Triangle

A square has exactly four right angles.

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?

60 km/hr

45 km/hr

50 km/hr

65 km/hr

55 km/hr

18 / 26

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

249 mins

250 mins

248 mins

251 mins

252 mins

19 / 26

A chef is preparing a special sauce by mixing 4 parts olive oil, 1 part vinegar, and 1 part lemon juice.
How much vinegar is needed for 24 litres of this sauce?

Total mixture = 24 L.
Ratio = 4 parts olive oil, 1 part vinegar, 1 part lemon juice (total 6 parts).
Amount of vinegar = (24 L / 6 parts) * 1 part = 4 L.

20 / 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.

21 / 26

Divide 360 by 6. What do you get?

Dividing 360 by 6 gives each part as 60.

22 / 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?

6 inches

3 inches

4 inches

8 inches

2 inches

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

23 / 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

-2°C

4°C

-4°C

-6°C

22°C - 26°C = -4°C

24 / 26

In the number 752, what does 5 represent?

5tenths

5hundreds

5ones

500

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

25 / 26

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

133% more

92% more

122% more

91.33% more

113.33% more

26 / 26

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

5 litres

6 litres

4.5 litres

4 litres

5.5 litres

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

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1 / 26

r – 30 = 15

r = ?

-45

-15

(r = 45) Adding 30 to 15 gives r.

2 / 26

h + 45 = 90

h = ?

-45

135

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

3 / 26

Arrange these fractions in ascending order.

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

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

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

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

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

4 / 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?

300 grams

480 gram

400 grams

320 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:

$400 grams.$

5 / 26

900 ÷ x = 30

x = ?

0.03

900

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

6 / 26

7560 - 4321 = ?

3240

3339

3239

3238

7560 - 4321 = 3239

7 / 26

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

508

503

509

506

507

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

8 / 26

300 × p = 300

p = ?

0.1

100

300

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

9 / 26

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

794

793

792

791

788

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

10 / 26

750 ÷ x = 250

x = ?

0.03

750

0.3

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

11 / 26

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

12 / 26

225 × p = 225

p = ?

225

0.1

(p = 1) Dividing 225 by 225 gives p.

13 / 26

n – 7 = -14

n = ?

-21

-7

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

14 / 26

What is the missing number in this sequence? 589 584 ? 574 569

579

581

578

575

580

The sequence decreases by 5 each step; the missing number between 584 and 574 is 579.

15 / 26

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

379

383

384

382

385

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

16 / 26

4732 ÷ 14 = ?

328

338

348

337

4732 ÷ 14 = 338

17 / 26

Order these fractions from smallest to largest.

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

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

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

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

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

18 / 26

5400 ÷ 18 = ?

303

300

302

301

5400 ÷ 18 = 300

19 / 26

Arrange these fractions from smallest to largest.

9/14, 7/10, 11/13, 3/11, 5/12

11/13, 7/10, 9/14, 5/12, 3/11

7/10, 9/14, 5/12, 3/11, 11/13

5/12, 3/11, 7/10, 9/14, 11/13

3/11, 5/12, 9/14, 7/10, 11/13

20 / 26

400 ÷ x = 50

x = ?

0.125

450

(x = 8) Dividing 400 by x gives 50, so x must be 8.

21 / 26

90 × p = 9

p = ?

0.01

0.1

900

(p = 0.1) Dividing 9 by 90 gives p.

22 / 26

What is the missing number in this sequence? 15 23 30 36 41 ?

The sequence increases by 8, 7, 6, 5, 4 in each step; the missing number is 41 + 4 = 45.

23 / 26

q + 9 = -6

q = ?

-15

-9

(q = -15) Subtracting 9 from -6 gives q.

24 / 26

Sophia starts with the number 12.
Which of these instructions does not give her an answer of 24?

Double your value

Add twelve and double

Subtract six- then multiple by 4

Multiply by three- then subtract twelve

Adding twelve and doubling gives 48 NOT 24

25 / 26

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

Triple and add six

Multiply by six

Double and add four

Multiply by five- then add two

Doubling and adding four gives 8 NOT 12

26 / 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?

20 boys

15 boys

45 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.

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1 / 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?

11:35

11:20

11:30

11:23

11:25

2 / 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.

3 / 26

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

4 / 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

5 / 26

Complete the equation: 2/3 = ?/9

What is ?

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

6 / 26

How many litres are in 2500 milliliters?

3.0litres

2.0litres

3.5litres

4.0litres

2.5litres

There are 2.5 liters in 2500 milliliters.

7 / 26

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

8 / 26

What is the sum of the interior angles of a triangle?

450degrees

90degrees

180degrees

360degrees

270degrees

The sum of the interior angles of a triangle is always 180 degrees.

9 / 26

Which of the following is NOT a factor of 36?

5 is not a factor of 36.

10 / 26

What is the greatest common factor of 36 and 54?

The greatest common factor of 36 and 54 is 18.

11 / 26

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

205 minutes

195 minutes

210 minutes

200 minutes

190 minutes

12 / 26

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

£15

£5

£6

£8.50

£7.50

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.

13 / 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?

Octagon

Dodecagon

Heptagon

Nonagon

Decagon

Two shapes after a hexagon is an octagon.

14 / 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.

15 / 26

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

9cm³

18cm³

36cm³

27cm³

9cm³

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

16 / 26

How many degrees are in the interior angles of a triangle?

None of the above

180

360

270

The sum of the interior angles of a triangle is 180 degrees.

17 / 26

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

1/4

1/2

3/5

3/4

2/5

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

18 / 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.

19 / 26

How much does each of these pots weigh?

50Kg

15Kg

20Kg

30Kg

25Kg

2 x Pot Weight + 10Kg = 60Kg

2 x Pot Weight = 50Kg

Each pot weight = 25Kg

20 / 26

Divide 360 by 6. What do you get?

Dividing 360 by 6 gives each part as 60.

21 / 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.

22 / 26

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

2hr 35min

2hr 40min

2hr 50min

2hr 45min

2hr 55min

23 / 26

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

5/8

3/4

1/2

3/8

5/6

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

24 / 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.

25 / 26

What is the square root of 64?

The square root of 64 is 8.

26 / 26

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

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1 / 26

500 ÷ x = 100

x = ?

0.2

500

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

2 / 26

500 x 19 = ?

9600

9501

9500

9400

500 x 19 = 9500

3 / 26

7641 - 2310 = ?

5431

5231

5331

5330

7641 - 2310 = 5331

4 / 26

How much does each of these pots weigh?

25Kg

20Kg

50Kg

15Kg

30Kg

2 x Pot Weight + 10Kg = 60Kg

2 x Pot Weight = 50Kg

Each pot weight = 25Kg

5 / 26

p + 15 = 0

p = ?

-30

-15

(p = -15) Subtracting 15 from p gives o.

6 / 26

k – 50 = 50

k = ?

-50

-100

100

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

7 / 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

Double and add six

Add three- then multiply by two

Triple your value

Multiplying by 3 and subtracting 6 gives 12 NOT 18

8 / 26

175 × p = 0

p = ?

175

-1

0.1

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

9 / 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.

10 / 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?

9 girls

6 girls

12 girls

18 girls

11 / 26

What is the missing number in this sequence? 730 724 ? 712 706

717

720

718

719

714

The sequence decreases by 6 each step; the missing number between 724 and 712 is 718.

12 / 26

What is the missing number in this sequence? 15 23 30 36 41 ?

The sequence increases by 8, 7, 6, 5, 4 in each step; the missing number is 41 + 4 = 45.

13 / 26

4096 ÷ 16 = ?

255

256

257

266

4096 ÷ 16 = 256

14 / 26

6020 - 2957 = ?

2963

3063

3163

3064

6020 - 2957 = 3063

15 / 26

9870 ÷ 15 = ?

648

678

668

658

9870 ÷ 15 = 658

16 / 26

3421 + 2045 = ?

5466

5565

5566

5465

3421 + 2045 = 5466

17 / 26

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

7/9, 5/6, 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

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

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

18 / 26

7560 - 4321 = ?

3239

3339

3238

3240

7560 - 4321 = 3239

19 / 26

Leo starts with the number 7.
Which of these instructions does not give him an answer of 14?

Subtract 5, then multiply by 7

Double your value

Multiply by three- then subtract seven

Subtract one- then double

Subtracting one and then doubling gives 12 not 10

20 / 26

32 × p = 64

p = ?

0.5

0.1

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

21 / 26

b + 6 = 11

b = ?

-5

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

22 / 26

What is the missing number in this sequence? 589 584 ? 574 569

580

578

579

581

575

The sequence decreases by 5 each step; the missing number between 584 and 574 is 579.

23 / 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?

8:3

6:1

4:3

3:1

24 / 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.

25 / 26

Arrange these fractions from smallest to largest.

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

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

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

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

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

26 / 26

87 x 58 = ?

5146

5045

5046

5145

87 x 58 = 5046

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1 / 26

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

12:53 PM

12:52 PM

12:54 PM

12:55 PM

12:51 PM

2 / 26

Which of the following is NOT a factor of 36?

5 is not a factor of 36.

3 / 26

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

2/5

1/2

1/4

3/5

3/4

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

4 / 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

3kg

12kg

4.5kg

6kg

Total mixture = 12 kg.
Ratio = 3 parts gold, 2 parts silver, 1 part copper (total 6 parts).
Amount of gold = (12 kg / 6 parts) * 3 parts = 4.5 kg.

5 / 26

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

55 mins

1 hr 15 mins

1 hr 45 mins

1 hr 30 mins

45 min

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

6 / 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%

10%

12%

14%

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%

7 / 26

What is the weight of each block?

40Kg

80Kg

100Kg

60Kg

120Kg

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

8 / 26

To blend a perfect cup of a herbal tea mix, you use 2 parts peppermint, 3 parts chamomile, and 5 parts green tea.
If you want to make 40 cups of this tea mix, how much green tea will you need?

15cups

20cups

30cups

10cups

25cups

Total mixture = 40 cups.
Ratio = 2 parts peppermint, 3 parts chamomile, 5 parts green tea (total 10 parts).
Amount of green tea = (40 cups / 10 parts) * 5 parts = 20 cups.

9 / 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?

3kg

4kg

6kg

9kg

1kilogram

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.

10 / 26

How many corners does a hexagon have?

A hexagon has 6 corners.

11 / 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?

11:58 AM

12:04 PM

12:04 AM

11:51 AM

12:02 PM

12 / 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.

13 / 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

2:23 AM

2:13 AM

1:49 AM

14 / 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?

1/3

3/10

1/4

2/5

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.

15 / 26

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

20cm

15cm

10cm

25cm

30cm

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

16 / 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

44 cm²

30 cm²

The area of the rectangle is 44 cm² (8 cm x 5 cm).

17 / 26

A number is multiplied by 5 then increased by 2 to get 27. What is the number?

To find the original number, work backwards from 27: decrease by 2, divide by 5, which gives 5 as the original number.

18 / 26

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

50 km/hr

45 km/hr

65 km/hr

60 km/hr

55 km/hr

19 / 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.

20 / 26

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

2hr 50min

2hr 35min

2hr 55min

2hr 45min

2hr 40min

21 / 26

What is the weight of the bananas?

11Kg

2.25Kg

1.25Kg

11.2Kg

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

22 / 26

What is the value of 7³?

343

147

294

7 cubed (7³) is 7x7x7 = 49x7= 343

23 / 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

12L

15L

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.

24 / 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

11:25

11:23

11:30

11:35

25 / 26

What is the square root of 64?

The square root of 64 is 8.

26 / 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.

/26

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You have 20 mins! 😊

Your time is up .. sorry!

1 / 26

Arrange these fractions from smallest to largest.

9/14, 7/10, 11/13, 3/11, 5/12

11/13, 7/10, 9/14, 5/12, 3/11

5/12, 3/11, 7/10, 9/14, 11/13

3/11, 5/12, 9/14, 7/10, 11/13

7/10, 9/14, 5/12, 3/11, 11/13

2 / 26

9888 ÷ 12 = ?

825

834

823

824

9888 ÷ 12 = 824

3 / 26

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

4 / 26

An ice cream shop sells 75 ice creams every day.
How many ice creams will it sell in 28 days?

2095

2120

2110

2105

2100

75 ice creams/day x 28 days = 2100 ice creams sold in 28 days.

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?

7 girls

28 girls

14 girls

21 girls

6 / 26

What is 45% of 60?

Calculate 45% of 60 by multiplying 60 by 0.45 ie. 27.

7 / 26

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

1150

1250

1100

1200

1000

Estimating the sum gives approximately 1200.

8 / 26

93 x 99 = 9300 - ?

103

203

193

793

9300 is 93 x 100 (93 x 100) - (93 x 99) = 93 x 1 = 93

9 / 26

What is 30% of 200?

Calculate 30% of 200 by multiplying 200 by 0.30 ie. 60.

10 / 26

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

25%

33.3%

35%

20%

30%

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

1. 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. $Percentage More = (\frac{More Oranges}{Apples}) \times 100$

1. $Percentage More = (\frac{2}{6}) \times 100$
  
  $Percentage More =$ 13×100

1. $Percentage More = 33.33 %$

So, Joe has 33.33% more oranges than apples.

11 / 26

About how much liquid does a teacup likely to hold?

3litres

300ml

300litres

10ml

30litres

A teacup is likely to hold about 300ml of liquid.

12 / 26

Henry thinks of a number. He multiplies his number by 5. Then adds 20 to the result. The result is 45. What number did Henry first think of?

Working backwards, Subtract 20 from 45 -> 25.
divide 25 by 5 -> Answer is 5

13 / 26

8.8 - 4.4 = ?

4.2

4.0

4.6

4.3

4.4

8.8−4.4=4.4

14 / 26

Max was 1.65 meters tall last year.
He grew 5 centimeters more this year.
How tall is he then in meters?

1.65m

1.85m

1.70m

1.75m

1.605m

1.70 meters
Max grew by 0.05 meters from 1.65 meters.

15 / 26

2.5 + 3.8 = ?

6.0

5.8

6.3

6.1

6.5

2.5+3.8=6.3

16 / 26

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

211

214

208

213

212

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

17 / 26

What is this number in figures?
Four thousand, five hundred and six.

4056

4560

45006

4506

4605

Four thousand, five hundred and six: 4506

18 / 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

19 / 26

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

2hr 45min

2hr 35min

2hr 40min

2hr 55min

2hr 50min

20 / 26

Work out X multiplied by VIII.

LXXX

LXV

LXX

LXXV

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

21 / 26

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

60mins

50mins

30mins

40mins

45mins

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

22 / 26

A rope is 8 meters long.
It's cut into two pieces, one 3.5 meters long.
How long is the other piece in meters?

4.4m

4.3m

4.6m

4.7m

4.5m

The other piece is 4.5 meters long.
8 meters minus 3.5 meters equals 4.5 meters.

23 / 26

A jar contains £2.40 in 20p coins. How many coins are in the jar?

10 coins

20 coins

12 coins

16 coins

14 coins

12 coins
If £2.40 is in 20p coins, then the number of coins is £2.40 divided by £0.20, which is 12.

24 / 26

How long is a standard pencil?

77cm

2cm

17cm

170cm

A standard pencil is 17cm long.

25 / 26

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

£72.00

£71.25

£69.75

£70.50

£68.50

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

26 / 26

4.4 - 3.3 = ?

1.2

1.1

0.9

1.0

1.3

4.4−3.3=1.1

/26

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You have 20 mins! 😊

Your time is up .. sorry!

1 / 26

2929 - 1829 = ?

1110

1000

1200

1100

2929 - 1829 = 1100

2 / 26

What is the weight of the cat?

7.75Kg

17Kg

0.75Kg

7Kg

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

3 / 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?

252 meters

308 meters

448 meters

364 meters

4 / 26

What is the value of the 6 in this number?
3162

6 thousandths

6 ones

6 hundreds

6 thousands

6 tens

3162: 3 Thousands, 1 Hundred, 6 Tens, 2 Ones

5 / 26

A walking trail is 3.5 kilometers long.
Halfway through, how far have you walked in meters?

1750m

1725m

1755m

1800m

1700m

You have walked 1750 meters.
Halfway through 3.5 km is 1.75 km.

6 / 26

Sort these fractions from the smallest to the largest.

1/10, 3/5, 4/7, 6/11, 8/9

1/10, 4/7, 3/5, 8/9, 6/11

4/7, 1/10, 6/11, 8/9, 3/5

1/10, 6/11, 4/7, 3/5, 8/9

3/5, 4/7, 6/11, 8/9, 1/10

7 / 26

The swimming competition started at 9:20 AM, finished at 12:00 PM. How long was the competition?

180mins

100mins

120mins

140mins

160mins

The swimming competition was 160 minutes from 9:20 AM to 12:00 PM.

8 / 26

A marathon is 42 kilometers long.
A runner completed 25% of it.
How many kilometers did he run?

9.5km

11km

10km

10.25km

10.5km

10.5 kilometers
The runner completed 25% of a 42-kilometer marathon.

9 / 26

A cinema ticket is £9. On Tuesdays, tickets are 1/3 off. How much is a ticket on Tuesday?

£12

£9

£6

£3

£4.50

£6.00
One-third off a £9 ticket saves £3, so the ticket costs £6.00 on Tuesday.

10 / 26

58 x 99 = 5800 - ?

158

708

168

5800 is 58 x 100 (58 x 100) - (58 x 99) = 58 x 1 = 58

11 / 26

In a competition, 180 participants registered.
1/9 of them were professional athletes.
How many amateurs were there?

160 participants

130 participants

150 participants

170 participants

140 participants

Subtracting one-ninth (20) of the participants who were professional athletes from the total 180 participants leaves 160 amateurs.

12 / 26

982 + 2098 = ?

3090

3070

3080

3081

982 + 2098 = 3080

13 / 26

The exhibition opened at 10:00 AM, closed at 3:00 PM. How long was the exhibition open?

180mins

240mins

120mins

300mins

360mins

The exhibition was open for 300 minutes from 10:00 AM to 3:00 PM.

14 / 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?

150 ml

100 ml

200 ml

350 ml

15 / 26

How much does each of these pots weigh?

15Kg

20Kg

30Kg

50Kg

25Kg

2 x Pot Weight + 10Kg = 60Kg

2 x Pot Weight = 50Kg

Each pot weight = 25Kg

16 / 26

How much is a mobile phone likely to weigh?

150grams

500grams

5000grams

5grams

0.5grams

A mobile phone is likely to weigh about 150grams.

17 / 26

A baker made 60 cupcakes.
He sold 3/5 of them by noon.
How many cupcakes did he sell?

He sold 3/5 of 60 cupcakes by noon, which equals 36 cupcakes.

18 / 26

A parking lot has 200 spaces.
1/5 of them are reserved for staff and the rest for visitors.
How many visitor spaces are there?

160 spaces

170 spaces

150 spaces

140 spaces

130 spaces

Subtracting one-fifth (40) of the spaces reserved for staff from the total 200 spaces leaves 160 visitor spaces.

19 / 26

Work out VIII multiplied by IV.

XXXIV

XXVIII

XXXII

XXIV

XXXVI

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

20 / 26

9888 ÷ 12 = ?

824

823

834

825

9888 ÷ 12 = 824

21 / 26

A concert had 900 tickets sold.
1/3 of the tickets were for VIP seats.
How many VIP tickets were sold?

100

200

400

300

600

1/3 of 900 tickets sold were for VIP seats, which equals 300 VIP tickets.

22 / 26

3892 - 1789 = ?

2102

2203

2202

2103

3892 - 1789 = 2103

23 / 26

28 x 98 = 2800 - ?

138

678

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

24 / 26

Nathan thinks of a number. He quintuples his number. Then adds 5. The result is 30. What number did Nathan first think of?

Working backwards, Subtract 5 from 30 -> 25.
divide 25 by 5 -> Answer is 5

25 / 26

What is the length of a typical sofa?

0.2m

20m

25cm

200m

The length of a typical sofa is 2m.

26 / 26

A number squared is 121. Find the number.

The number is 11

/26

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You have 20 mins! 😊

Your time is up .. sorry!

1 / 26

What is this number in figures?
Three thousand, seven hundred and one.

3701

37010

3710

37001

3071

Three thousand, seven hundred and one: 3701

2 / 26

9000 - 3890 = ?

5100

5110

5210

5111

9000 - 3890 = 5110

3 / 26

A bakery produced 4 loaves of bread.
Each loaf weighed 600 grams.
What was the total weight of the bread in kilograms?

2.4kg

24kg

240kg

2400kg

2800g

4 x 600gm = 2400gm = 2.4KG

4 / 26

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

5.24

5.64

4.64

4.9

5.1

5 / 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?

6 inches

4 inches

2 inches

3 inches

8 inches

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

6 / 26

Calculate 4³

4 x 4 x 4 = 64

7 / 26

What is the length of a typical sofa?

20m

25cm

200m

0.2m

The length of a typical sofa is 2m.

8 / 26

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

55 mins

1 hr 45 mins

45 min

1 hr 30 mins

1 hr 15 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

9 / 26

q + 9 = -6

q = ?

-15

-9

(q = -15) Subtracting 9 from -6 gives q.

10 / 26

A Train journey began at 12:05 PM, ended at 2:50 PM. How long did the journey take?

205mins

165mins

105mins

145mins

185mins

The train journey was 165 minutes from 12:05 PM to 2:50 PM.

11 / 26

What is this number in figures?
Four thousand, five hundred and six.

4506

4605

45006

4560

4056

Four thousand, five hundred and six: 4506

12 / 26

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

384

382

383

385

379

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

13 / 26

153 x 42 = ?

6526

6425

6426

6525

153 x 42 = 6426

14 / 26

A chemist mixed 3 solutions.
Each solution was 400 millilitres.
What was the total volume of the solutions in litres?

1.2 litres

1.2kg

12 litres

120 litres

1200 litres

3 solutions x 400 millilitres/solution = 1200 millilitres = 1.2 litres.

15 / 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

10 boys

25 boys

20 boys

16 / 26

0.8 x 5 = ?

0.04

0.4

4.4

0.8×5=4

17 / 26

245 x 21 = ?

5245

5045

5155

5145

245 x 21 = 5145

18 / 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 are all even numbers.

They are all odd numbers.

They are all square numbers.

They are all cube numbers.

They can all be divided exactly by 4.

They are all square numbers.

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

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?

28 girls

7 girls

14 girls

21 girls

21 / 26

What is the greatest common factor of 36 and 54?

The greatest common factor of 36 and 54 is 18.

22 / 26

Hannah thinks of a number. She subtracts 2 from her number. Then doubles. The result is 12. What number did Hannah first think of?

Working backwards, Half of 12 -> 6.
Add 2 to 6 -> Answer is 8

23 / 26

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

£70.50

£72.00

£69.75

£68.50

£71.25

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

24 / 26

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

15cm

25cm

20cm

10cm

30cm

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

25 / 26

4994 ÷ 22 = ?

229

226

228

227

4994 ÷ 22 = 227

26 / 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.

/26

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You have 20 mins! 😊

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1 / 26

8.2 x 1000 = ?

0.82

8200

8.2

820

8.2×1000=8200

2 / 26

A cat sleeps 14 hours every day.
How many hours will it sleep in 7 days?

102 hrs

96 hrs

94 hrs

98 hrs

100 hrs

14 hours/day x 7 days = 98 hours of sleep in 7 days.

3 / 26

Sort these fractions from biggest to smallest.

4/15, 2/3, 1/3, 8/9, 6/7

8/9, 6/7, 2/3, 1/3, 4/15

4/15, 8/9, 2/3, 1/3, 6/7

6/7, 8/9, 1/3, 2/3, 4/15

8/9, 2/3, 1/3, 4/15, 6/7

Fractions Answer

4 / 26

500 ÷ x = 100

x = ?

500

0.2

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

5 / 26

Work out XI multiplied by VII.

LXXVII

LXXIX

LXXIII

LXXXI

LXVII

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

6 / 26

A jar has £1.60 in coins. If you take out 20% of the money, how much is left?

£1.36

£1.20

£1.28

£1.44

£1.12

£1.28
Taking out 20% of £1.60 leaves 80%, which is £1.28.

7 / 26

What is the likely length of a car in meters?

45cm

0.45m

45m

450m

4.5m

The likely length of a car in meters is 4.5m.

8 / 26

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

307

304

306

301

305

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

9 / 26

6234 + 734 = ?

7068

6968

6967

7067

6234 + 734 = 6968

10 / 26

How much does each brick weigh? brickweight

8Kg

16Kg

14Kg

12Kg

15Kg

11 / 26

7.2 + 2.3 = ?

9.5

9.0

9.7

9.6

9.3

7.2+2.3=9.5

12 / 26

What is 95% of 100?

105

100

Calculate 95% of 100 by multiplying 100 by 0.95 ie. 95.

13 / 26

A photographer takes 200 photographs in one day.
How many photographs will she take in 5 days?

995

1005

990

1010

1000

200 photographs/day x 5 days = 1000 photographs taken in 5 days.

14 / 26

0.03 x 100 = ?

0.3

0.03

3.03

0.03×100=3

15 / 26

How long does it take to boil 1 litre of water on a standard stove?

5hours

500minutes

0.5minutes

5minutes

50minutes

It takes about 5minutes to boil 1 litre of water on a standard stove.

16 / 26

A marathon runner started at 7:15 AM, finished at 10:30 AM. How long did it take?

75mins

155mins

195mins

135mins

165mins

The marathon runner took 195 minutes from 7:15 AM to 10:30 AM.

17 / 26

A group of friends shared 7 chocolate bars.
Each bar weighed 100 grams.
How much did the chocolate bars weigh in total in kilograms?

700kg

70g

7kg

0.7kg

770g

7 chocolate bars x 100 grams/bar = 700 grams = 0.7 kilograms.

18 / 26

What is the value of (2³)?

2 x 2 x 2 = 8

19 / 26

What is 25% of 80?

Calculate 25% of 80 by multiplying 80 by 0.25 ie. 20.

20 / 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

8°C

-2°C

-6°C

4°C

22°C - 26°C = -4°C

21 / 26

A number is multiplied by 5 then increased by 2 to get 27. What is the number?

To find the original number, work backwards from 27: decrease by 2, divide by 5, which gives 5 as the original number.

22 / 26

An artist painted 50 pictures.
He sold 3/10 of his pictures.
How many pictures did he sell?

He sold 3/10 of 50 pictures, which equals 15 pictures.

23 / 26

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

Subtract 1, then multiple by 10

Add seven and double

Multiply by 6, then add two

Triple your value, then add 10

Tripling value and adding 10 gives 19 not 20

24 / 26

25 49 169 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 are all cube numbers.

They are all even numbers.

They can all be divided exactly by 5.

They are all square numbers.

25 / 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

26 / 26

Alice thinks of a number. She adds 5 to her number. Then multiplies the result by 3. The result is 36. What number did Alice first think of?

Working backwards, Divide 36 by 3 -> 12.
Subtract 5 from 12 -> Answer is 7