Stage 2: Maths 2

Your second SET 11+ Stage 2 Maths practice paper. Remember to show all working — method marks are available even if your final answer is incorrect.

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Instructions

• Time allowed: 45 minutes
• Total marks: 40
• Show ALL your working
• No calculator allowed
• Answers and mark scheme at the end — do not look until finished!

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Q1. (3 marks) A farmer has 540 animals. 2/5 are sheep, 1/3 are cows, and the rest are chickens. How many chickens does the farmer have?

Q2. (3 marks) Three friends share a bill. Ali pays 2/5, Ben pays 1/4, and Clara pays the rest. The bill is 60 pounds. How much does Clara pay?

Q3. (3 marks) A car travels 156 miles using 12 litres of fuel. How many miles per litre does it do? How far can it travel on 20 litres?

Q4. (4 marks) A room is 5 m long, 4 m wide, and 3 m high. It has one door (2 m by 0.8 m) and two windows (each 1.5 m by 1.2 m). What is the total area of the walls that needs painting?

Q5. (3 marks) The temperature at midnight was -4 degrees C. By 8am it had risen by 7 degrees. By 2pm it had risen another 5 degrees. By 10pm it had fallen by 9 degrees. What was the temperature at 10pm?

Q6. (4 marks) In a class of 32 pupils, 18 play football, 14 play cricket, and 6 play both. (a) How many play football only? (b) How many play neither sport?

Q7. (3 marks) A shop buys T-shirts for 8 pounds each and sells them for 12 pounds each. In one week, 45 T-shirts are sold. What is the total profit?

Q8. (3 marks) Two angles in a triangle are 47 degrees and 68 degrees. (a) What is the third angle? (b) What type of triangle is this?

Q9. (4 marks) A water tank is a cuboid: 80 cm long, 50 cm wide, 60 cm high. (a) What is its volume in cubic centimetres? (b) How many litres of water can it hold? (1 litre = 1,000 cubic cm)

Q10. (3 marks) Here is a tally chart showing favourite colours of 50 students:

Colour	Frequency
Red	12
Blue	18
Green	8
Yellow	7
Other	5

What angle would "Blue" represent on a pie chart?

Q11. (4 marks) A sequence follows the rule: multiply by 2 then subtract 3. The first term is 4. (a) Write the first five terms. (b) Is 61 in this sequence? Show your working.