Timed paper · 45 minutes

Mock Exam 1: Maths

40 multiple-choice questions with 4 answers each (A to D). Press Start, answer in your own time and mark the paper when you have finished.

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40 questions in 45 minutes.
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🔢 Maths — 40 questions

Question 1Number and place value

What is the value of the digit 7 in the number 57,129?

Question 2Number and place value

Which number is 10,000 more than 79,217?

Question 3Number and place value

Round 528,816 to the nearest ten thousand.

Question 4Number and place value

The temperature at night was −3°C. By midday it was 11°C higher. What was the temperature at midday?

Question 5Number and place value

Use each of the digits 3, 4, 8, 6, 1 once to make the smallest five-digit number possible. What is it?

Question 6Calculation

A school raised £3,974 at a summer fair and £6,881 from a sponsored walk. It needs £11,643 for new library books. How much more does it need?

Question 7Calculation

Which is the best estimate for 8,628 − 2,818?

Question 8Calculation

Work out 3,412 × 7.

Question 9Calculation

A farm packs eggs in boxes that hold 6. How many boxes are needed to pack 152 eggs?

Question 10Calculation

Which of these numbers is not a factor of 54?

Question 11Calculation

Use the fact that 12 × 12 = 144 to work out 12 × 36.

Question 12Calculation

Work out 24 + 7 × 6.

Question 13Calculation

A theatre has 12 rows of 105 seats. Every seat is sold for £8. How much money does the theatre take?

Question 14Fractions, decimals and percentages

A bag holds 60 marbles. 2/6 of them are blue. How many marbles are blue?

Question 15Fractions, decimals and percentages

Which fraction is equal to 15/35?

Question 16Fractions, decimals and percentages

Which of these fractions is the largest?
1/10 3/4 8/12 1/3

Question 17Fractions, decimals and percentages

Work out 5 4/5 − 3 3/5.

Question 18Fractions, decimals and percentages

Work out 7.1 × 9.

Question 19Fractions, decimals and percentages

A jacket costs £80. In a sale it is reduced by 25%. What is the sale price?

Question 20Fractions, decimals and percentages

Write 3/25 as a decimal.

Question 21Fractions, decimals and percentages

Round 5.750 to one decimal place.

Question 22Ratio and algebra

£49 is shared between Ali and Bea in the ratio 2 : 5. How much does Ali get?

Question 23Ratio and algebra

A recipe for 4 people uses 900 g of flour. How much flour is needed for 6 people?

Question 24Ratio and algebra

y stands for a number. If 6y + 6 = 54, what is the value of y?

Question 25Ratio and algebra

The rule for a number pattern is: multiply the position number by 4, then add 6. What is the 7th number in the pattern?

Question 26Measurement

One bag of flour weighs 4 kg. How many grams do 5 bags weigh altogether?

Question 27Measurement

A clock shows 20:05 in 24-hour time. What time is this in 12-hour time?

Question 28Measurement

A rectangle has a perimeter of 66 cm. Its length is 24 cm. What is its width?

Question 29Measurement

A square has a perimeter of 52 cm. What is its area?

Question 30Measurement

A jug holds 3 litres of juice. Each cup holds 125 ml. How many cups can be filled from a full jug?

Question 31Measurement

6 friends share a restaurant bill of £40.50 equally. How much does each friend pay?

Question 32Geometry

Two angles in a triangle are 60° and 56°. What is the third angle?

Question 33Geometry

Three angles on a straight line are 70°, 25° and x. What is x?

Question 34Geometry

How many vertices (corners) does a octagonal prism have?

Question 35Geometry

Which quadrilateral has exactly one pair of parallel sides?

Question 36Position and statistics

The point (4, 2) is moved 2 squares right and 2 squares down. What are its new coordinates?

Question 37Position and statistics

The point (3, 5) is reflected in the y-axis (the vertical axis). What are its new coordinates?

Question 38Position and statistics

The mean of four numbers is 14. Three of the numbers are 12, 10 and 20. What is the fourth number?

Question 39Position and statistics

Dev scored 19, 15, 25, 13, 21 in five spelling tests. What is the range of his scores?

Question 40Position and statistics

In a pictogram, each symbol stands for 3 children. Football has 9 symbols and tennis has 4 symbols. How many more children chose football than tennis?

Answers and explanations

B. 7,000. The digit 7 is in the thousands place, so its value is 7,000.
D. 89,217. Adding 10,000 adds 1 to the ten thousands digit: 79,217 + 10,000 = 89,217.
C. 530,000. Look at the thousands digit. It is 5 or more, so round up, giving 530,000.
A. 8°C. Going up 11 degrees from −3°C: first up 3 to reach 0°C, then 8 more, giving 8°C.
B. 13,468. Put the digits in order from smallest to largest, with the smallest in the highest place: 13,468.
D. £788. £3,974 + £6,881 = £10,855 raised so far. £11,643 − £10,855 = £788.
C. 6,000. Round each number to the nearest thousand: 9,000 − 3,000 = 6,000.
A. 23,884. 3,412 × 7: 2 × 7 = 14, and so on up through the tens, hundreds and thousands, giving 23,884.
D. 26. 152 ÷ 6 = 25 remainder 2. The leftover eggs need one more box, so 26 boxes.
A. 11. 11 does not divide exactly into 54, so it is not a factor. The other three do.
B. 432. 36 is 3 times 12, so the answer is 3 times as big: 144 × 3 = 432.
C. 66. Multiplication comes before addition. 7 × 6 = 42, then 24 + 42 = 66.
D. £10,080. 12 × 105 = 1,260 seats. 1,260 × 8 = 10,080, so the theatre takes £10,080.
C. 20. 60 ÷ 6 = 10 marbles in each part. 10 × 2 = 20.
D. 3/7. Divide the top and bottom by 5: 15 ÷ 5 = 3 and 35 ÷ 5 = 7.
D. 3/4. Change them to decimals or to a common denominator. 3/4 = 0.75, which is the largest.
D. 2 1/5. Subtract the whole numbers: 5 − 3 = 2. Subtract the fractions: 4/5 − 3/5 = 1/5. Together, and simplified: 2 1/5.
B. 63.9. 7.1 × 9: 71 tenths × 9 = 639 tenths, which is 63.9.
C. £60. 25% of £80 is £20. £80 − £20 = £60.
B. 0.12. Make the denominator 100: 3/25 = 12/100 = 0.12.
B. 5.8. Look at the hundredths digit: 5. It is 5 or more, so round up to 5.8.
A. £14. 7 equal shares in all, so one share is £49 ÷ 7 = £7. Ali gets 2 shares: £14.
C. 1,350 g. Flour for 1 person: 900 ÷ 4 = 225 g. For 6 people: 225 × 6 = 1,350 g.
A. 8. Take away 6 from both sides: 6y = 48. Then divide by 6: y = 8.
C. 34. 7 × 4 = 28, and 28 + 6 = 34.
B. 20,000. 4 kg = 4,000 g. 4,000 × 5 = 20,000 g.
A. 8:05 pm. Subtract 12 from the hours in the afternoon: 20 − 12 = 8, so it is 8:05 pm.
A. 9 cm. Half the perimeter is 33 cm, which is the length plus the width. 33 − 24 = 9 cm.
B. 169 cm². Each side is 52 ÷ 4 = 13 cm. Area = 13 × 13 = 169 cm².
B. 24. 3 litres = 3,000 ml. 3,000 ÷ 125 = 24 cups.
B. £6.75. £40.50 ÷ 6 = £6.75.
A. 64°. The angles in a triangle add up to 180°. 60 + 56 = 116, and 180 − 116 = 64.
C. 85°. Angles on a straight line add up to 180°. 70 + 25 = 95, and 180 − 95 = 85.
D. 16. A prism has two identical ends, each with 8 corners, so 8 × 2 = 16 vertices.
D. trapezium. A trapezium has just one pair of parallel sides. A rhombus, rectangle and parallelogram each have two pairs.
C. (6, 0). Right adds to the x-coordinate and down subtracts from the y-coordinate: (6, 0).
D. (−3, 5). A reflection in the vertical axis changes the sign of the x-coordinate and leaves the y-coordinate the same: (−3, 5).
A. 14. The total of four numbers with mean 14 is 14 × 4 = 56. 12 + 10 + 20 = 42. 56 − 42 = 14.
C. 12. The range is the highest score minus the lowest: 25 − 13 = 12.
A. 15. Football has 9 × 3 = 27 children and tennis has 4 × 3 = 12. The difference is 15.

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