SAT MATHEMATICS TEST PAPER II (REASONING)

1.Sarah has £15. She spends £4.50 on a book and £3.25 on a pen. How much money does she have left?

2.A school has 320 pupils. 3/8 of them walk to school. How many pupils walk to school?

3.Tom buys 6 packets of crisps at 45p each. How much change does he get from £5?

4.A recipe for 4 people needs 300g of flour. How much flour is needed for 10 people?

5.The ratio of boys to girls in a class is 3:5. If there are 15 boys, how many girls are there?

6.A car travels 180 miles in 3 hours. What is its average speed?

7.A rectangular garden is 12m long and 8m wide. What is its perimeter?

8.A square has an area of 49cm². What is the length of one side?

9.Three friends share a pizza cut into 12 equal slices. If they share it equally, how many slices does each get?

10.A shop reduces a £60 jacket by 25%. What is the sale price?

11.A train departs at 14:20 and arrives at 16:05. How long is the journey?

12.In a survey, 1/3 of 90 pupils chose swimming as their favourite activity. How many pupils chose swimming?

13.A number is multiplied by 4, then 7 is subtracted. The result is 21. What was the original number?

14.The temperature at 6am was −4°C. By midday it had risen by 9°C. What was the temperature at midday?

15.A bag of sweets is shared between 5 children so that each gets 8 sweets, with 2 left over. How many sweets were in the bag?

16.What is the missing angle in a triangle with angles of 35° and 85°?

17.A pentagon has interior angles summing to 540°. If four of the angles are 100°, 110°, 90°, and 95°, what is the fifth angle?

18.A point at (2, 5) is reflected across the line x = 0. What are the new coordinates?

19.A bus leaves every 25 minutes starting at 08:00. What time does the 5th bus leave?

20.A jug holds 1.8 litres of juice. How many 250ml glasses can be filled completely?

21.A number sequence goes 5, 11, 17, 23, ___. What is the next number?

22.A cinema has 18 rows of 24 seats. If 3/4 of the seats are filled, how many seats are empty?

23.Two numbers have a sum of 48 and a difference of 12. What is the larger number?

24.A cyclist rides 4.5km in 15 minutes. At this rate, how far will they travel in 1 hour?

25.A car park charges £1.50 for the first hour and 80p for each additional hour. How much does 4 hours cost?

26.A pie chart shows that 40% of a class prefer maths, 25% prefer science, and the rest prefer art. What percentage prefer art?

27.A shape has rotational symmetry of order 4. Through how many degrees does it turn for each step of symmetry?

28.The mean of five numbers is 14. Four of the numbers are 10, 16, 12, and 18. What is the fifth number?

29.A book costs £8.99. Emma buys 3 copies. Roughly how much change would she get from £30 (nearest pound estimate)?

30.A swimming pool is filled at a rate of 250 litres per minute. How long will it take to fill a 15,000 litre pool?

31.A map has a scale of 1:50,000. What real distance, in km, does 4cm on the map represent?

32.A spinner has 8 equal sections numbered 1–8. What is the probability of landing on an even number?

33.A trapezium field has parallel sides of 20m and 30m and a height of 12m. What is its area?

34.A company's profits increased from £40,000 to £52,000. What was the percentage increase?

35.Four children share £27 in the ratio 2:1:1:5. How much does the child with the largest share receive?

36.A number rounded to the nearest 100 is 3,600. What is the smallest possible original number?

37.A recipe requires 2 eggs for every 300g of flour. How many eggs are needed for 900g of flour?

38.A ladder 5m long leans against a wall, reaching 4m up the wall. How far is the base of the ladder from the wall?

39.A 240-mile journey is completed at an average speed of 40mph. If the driver leaves at 09:15, what time do they arrive?

40.A number is doubled, then 5 is added, giving a result of 37. What was the original number?