ABC Education · 11+ Practice
Week 44 · Maths Practice Paper
28 questions · 58 marks · Suggested time: 45 minutes.
Question 1
[1 marks]Work out 534 − 278
Question 2
[1 marks]Work out 648 × 29
Question 3
[1 marks]Work out 35% of 80
Question 4
[1 marks]Work out 2340 ÷ 9
Question 5
[1 marks]Work out 6.25 × 4
Question 6
[1 marks]Work out 15 ÷ 1¼
Question 7
[1 marks]What number goes in the box? 5/[box] of 40 = 25
Question 8
[1 marks]What number goes in the box? 9.2 − [box] = 3.6
Question 9
[1 marks]Subtract 25 from 5.65
Question 10
[1 marks]What is the next number in this sequence? 20, 16, 12, 8, ...
Question 11
[1 marks]8 cups of coffee cost £21.60. How much does one cup cost?
Question 12
[1 marks]Work out √64 + 5²
Question 13
[1 marks]9 apples cost £3.60. Find the cost of 7 apples.
Question 14
[1 marks]What is 14 of 40% of 60?
Question 15
[1 marks]The numbers 20, 22, 25 and x have a range of 9. Find two possible values for x.
Question 16
[2 marks]You are given that 42 × 26 = 1092. Use this fact to work out
Question 17
[1 marks]In a simple code, each letter of the alphabet is given a number (A=1, B=2, C=3, ... Z=26). Decode this message: 19-21-14
Question 18
[2 marks]Anisha works in a shop. She is paid £8 an hour during the week and £10 an hour at weekends. She can get a lift with her mum to work during the week but has to go on the train if she works at the weekend. A return (there and back) train ticket costs £6.40. How much would Anisha take home if she works 7 hours during the week and 5 hours on Saturday?
Question 19
[2 marks]ABC is a triangle with A(1,5) and B(-2,2), where AC = BC.
Question 20
[2 marks]A train stopped at a station. 55 people got off and 70 people got on. There were 350 people on the train when it left. How many were on the train before it stopped?
Question 21
[4 marks]⊗ means square the first number and then add two times the second number: a ⊗ b = a² + 2b. For example: 4 ⊗ 3 = 16 + 6 = 22.
Question 22
[6 marks]In the following subtraction, a, b, c and d are single digits. Work out what they are.
d 6 4 a -1 c 3 7 ------- 3 1 b 5
Question 23
[3 marks]Pavanna and Naomi share some money in the ratio 3:7. Naomi divides her share between her friends Maria and Grace in the ratio 2:5. Maria receives £18. How much money was originally shared?
Question 24
[3 marks]Each shape stands for a number. A row of four circles and one triangle has a total of 95. A column of two circles and one triangle has a total of 59. Find the value of one triangle and one circle.
Question 25
[1 marks]ABC is a straight line. Triangle BCD is isosceles with DB = DC. Angle DAB = 25°, where A lies on the straight line to the left of B. Angle ADB = 15°. Find the size of angle x, where x = angle DBC.
Question 26
[6 marks]Sana has four identical rectangles each measuring 10cm by 4cm. She joins them together to make a large square with a smaller square inside it (the classic pinwheel arrangement).
Question 27
[5 marks]In this question all the pentagons are identical, each with an area of 80cm². Two pentagons overlap to make 3 regions: A, B (the overlap) and C. For example, if the pentagons overlap by 10%, the total area (A+B+C) = pentagon(A+B) + 90% of pentagon(C) = 80 + 72 = 152cm².
Question 28
[6 marks]The land of Piponia has its own currency, using pips (p.), sols (s.) and liras (l.), with 1 sol = 6 pips and 1 lira = 12 sols. Work out the following, giving your answer in its simplest form.