Show all working in the space provided. Circle or write your final answer clearly. Marks may be awarded for correct method even if the final answer is wrong.
⏱ Suggested time: 30 minutes
Section A — Number & Money Problems (Q1–10)
1.A shirt costs £14.50. A pair of trousers costs £27.99. How much do both items cost together?
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2.A school buys 24 exercise books at 65p each. What is the total cost in pounds?
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3.Tickets to a show cost £8.50 each. A family of 5 buys tickets. They pay with £50. How much change do they receive?
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4.A number is multiplied by 7 and then 15 is subtracted. The result is 48. What was the original number?
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5.In a sale, prices are reduced by 20%. A jacket was £65. What is the sale price?
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6.Three friends share a prize of £54 equally. One friend gives £3 of their share to charity. How much does that friend keep?
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7.A baker makes 8 dozen rolls. She sells ¾ of them. How many rolls are left?
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8.The sum of two numbers is 95. One number is 12 more than the other. What are the two numbers?
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9.A car travels 240 miles on 8 litres of petrol. How many miles per litre does it do? How far can it go on 11 litres?
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10.A train leaves at 08:45 and arrives at 11:20. How long is the journey in hours and minutes?
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Section B — Ratio, Proportion & Algebra (Q11–20)
11.Divide 48 in the ratio 1 : 3.
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12.In a class, the ratio of boys to girls is 3 : 4. There are 28 children. How many girls are there?
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13.Solve for n: 3n + 7 = 22
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14.Solve for x: 5x − 4 = 31
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15.A recipe for 4 people needs 300 g of flour. How much flour is needed for 10 people?
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16.If 5 pens cost £3.75, how much do 8 pens cost?
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17.The nth term of a sequence is 4n − 1. What is the 8th term?
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18.A sequence is: 3, 7, 11, 15 … What is the 10th term?
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19.Two numbers are in the ratio 2 : 5. Their total is 63. What are the two numbers?
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20.A tap fills a 120-litre tank at 8 litres per minute. How many minutes does it take to fill the tank?
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Section C — Geometry & Measurement (Q21–30)
21.A rectangle has a length of 14 cm and a width of 9 cm. Find its area and perimeter.
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22.A triangle has a base of 10 cm and a height of 6 cm. What is its area?
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23.Angles in a triangle add up to 180°. Two angles are 65° and 48°. Find the third angle.
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24.A square has a perimeter of 52 cm. What is its area?
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25.A cuboid is 5 cm long, 3 cm wide, and 4 cm tall. What is its volume?
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26.Convert 3.6 km to metres.
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27.An angle on a straight line is 180°. One part is 113°. What is the other part?
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28.A circle has a diameter of 10 cm. What is its radius?
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29.Plot and label the coordinates (3, −2) and (−1, 4) in words — which quadrants are they in?
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30.A shape has 6 faces, 12 edges and 8 vertices. What is the shape?
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Section D — Data, Logic & Multi-step (Q31–40)
31.The mean of 5 numbers is 12. Four of the numbers are 8, 14, 10, 16. What is the fifth number?
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32.Find the median of: 3, 9, 1, 7, 5, 11, 4.
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33.Find the mode of: 4, 7, 2, 7, 9, 4, 7, 1.
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34.A bag contains 3 red, 5 blue, and 2 green marbles. What is the probability of picking a blue marble? Write as a fraction.
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35.Amy is older than Ben. Ben is younger than Carl. Carl is younger than Amy. Put them in order from youngest to oldest.
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36.A shopkeeper buys goods for £80 and sells them for £100. What is the percentage profit?
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37.A clock shows 3:45 pm. What angle does the minute hand make with the 12 o'clock position?
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38.If today is Wednesday 26 June, what day will it be in 100 days?
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39.I think of a number. I multiply it by 4, add 9, then divide by 3. The result is 11. What was my number?
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40.A fence uses posts every 3 metres. The total length of the fence is 24 metres. How many posts are needed (including both ends)?
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