Independent School Entrance (ISEB Pre-Test and 11+ CEM style) · Mathematics
Number, fractions, decimals and percentages
40 practice questions, each with the answer and an explanation.
Practise Number, fractions, decimals and percentages now
Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 40 questions
- A hall has 1,248 chairs set out in equal rows of 24. How many rows are there?
- Priya has 240 stickers. She gives two thirds of them to her sister, then gives three quarters of what she has left to a friend. How many stickers does she have at the end?
- What is 4.8 × 2.5?
- In a survey of 80 pupils, 35% chose chess club. How many pupils did NOT choose chess club?
- What is the value of 3 + 4 × (12 - 5)² ÷ 7?
- What is 7/12 - 2/9?
- What is 2 1/3 × 9/14, written as a mixed number?
- A bike costs £80. Its price is increased by 25% and a month later the new price is reduced by 20%. What is the final price?
- Which calculation gives the best estimate of 6,092 ÷ 29?
- Which number has the prime factorisation 2³ × 3 × 5 × 7?
- Three lighthouses flash every 12 seconds, 18 seconds and 30 seconds. They flash together at midnight. After how many seconds do they next flash together?
- What is the value of 5 - 3 × (-4) + (-18) ÷ 6?
- What is 0.3 × 0.4 × 0.5?
- A whole number rounds to 5,750 to the nearest ten and to 5,800 to the nearest hundred. Which could the number be?
- A tank holds 480 litres when full. It is 5/8 full, and then 90 litres are used. What fraction of the whole tank is now full?
- After a 15% discount, a pair of trainers costs £51. What was the original price?
- £240 is shared between Ann, Ben and Cal in the ratio 2 : 3 : 7. How much more than Ann does Cal receive?
- Which number is represented by the Roman numeral MCDXLIV?
- A night train leaves at 22:48 and arrives at 03:15 the next morning. How long is the journey?
- A cyclist rides 18 km at 9 km/h and then 24 km at 16 km/h. What is her average speed for the whole journey?
- Which fraction is exactly halfway between 2/3 and 5/6?
- A ribbon 7.2 m long is cut into pieces that are each 0.45 m long. How many pieces are there?
- The mean of five numbers is 18. When a sixth number is added, the mean of all six numbers becomes 20. What is the sixth number?
- What is the sum of the smallest cube number greater than 100 and the largest square number less than 100?
- Which of these numbers is exactly divisible by 9?
- Notebooks cost £1.35 each or £6 for a pack of five. Mia needs exactly 12 notebooks. What is the lowest cost?
- What is 0.0375 × 8,000?
- How many different factors does 72 have, including 1 and 72?
- Which of these is the greatest: 3/8, 0.37, 38%, 7/20?
- A lorry has a mass of 3.2 tonnes and carries 1,450 kg of cargo. What is the combined mass in tonnes?
- What is the value of 2⁵ + 3³ - 4²?
- In a class of 40 pupils, 30% walk to school, 3/8 cycle and the rest come by bus. How many pupils come by bus?
- The digits 3, 5, 7 and 9 are each used once to make two 2-digit numbers. What is the greatest possible difference between the two numbers?
- What number is exactly halfway between 0.38 and 0.7?
- A snail moves at 90 cm per minute. How many metres does it travel in 2 hours?
- Dev puts £800 in an account paying 5% simple interest per year. How much is in the account after 3 years?
- Eight workers lay 640 bricks in 5 hours. At the same rate per worker, how many bricks do 5 workers lay in 8 hours?
- What is 3/4 of 5/6 of 48?
- What is 1/3 + 1/4 + 1/5?
- What is 15% of 15% of 4,000?
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