11+ Practice (England) · Maths

Number, Fractions, Ratio and Problem Solving

28 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 28 questions

  1. What is 7 x 8 + 6?
  2. What is three quarters of 56?
  3. What is 15% of 80?
  4. What is 2/3 + 1/4?
  5. £96 is shared in the ratio 3 : 5. How much is the larger share?
  6. The mean of five numbers is 14. Four of the numbers are 10, 12, 15 and 18. What is the fifth number?
  7. A shirt costs £40. It is reduced by 25%. A week later the sale price is reduced by a further 10%. What is the final price?
  8. Tom spends one third of his money on a book. He then spends a quarter of what is left on lunch. He has £18 left. How much did he have at the start?
  9. A train leaves at 09:48 and the journey takes 2 hours 37 minutes. What time does it arrive?
  10. Two bells ring together at 12:00. One rings every 6 minutes and the other every 8 minutes. Counting 12:00 and 14:00, how many times do they ring together between 12:00 and 14:00?
  11. What is the sum of all the prime numbers between 10 and 30?
  12. What is the smallest number that is a multiple of 2, 3, 4 and 5?
  13. A number is multiplied by 6 and then 14 is subtracted. The answer is 52. What is the number?
  14. What is the next number in the sequence 3, 8, 18, 38, 78, ...?
  15. How many square numbers are there between 50 and 200?
  16. What is 0.6 x 0.7?
  17. What is 4,862 rounded to the nearest hundred?
  18. Which of these is the largest? 0.65, 2/3, 66%, 5/8
  19. Apples cost £2.40 per kilogram. How much do 3.5 kilograms cost?
  20. A bag holds red and blue counters in the ratio 2 : 3. After 10 more red counters are added, the numbers of red and blue counters are equal. How many blue counters are there?
  21. A car travels 150 km at 60 km/h and then 90 km at 45 km/h. How long does the whole journey take?
  22. A car drives 240 miles in 4 hours at a steady speed. What is its speed?
  23. A tank is one third full. When 18 litres are added, it is one half full. What is the capacity of the tank?
  24. The price of a game rises from £80 to £92. What is the percentage increase?
  25. After a 20% reduction, a coat costs £48. What was its original price?
  26. A film lasts 1 hour 55 minutes. It starts at 7:40 pm. At what time does it finish?
  27. Three books cost £4.75 each. How much change is there from £20?
  28. What is 3.07 x 100?

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