ABC Education · 11+ Practice
Week 56 · Maths Practice Paper
46 questions · 100 marks · Suggested time: 1 hour 15 minutes.
Question 1
[1 marks]Work out 5378 + 2947
Question 2
[1 marks]Work out 8213 − 3647
Question 3
[1 marks]Work out 3617 × 8
Question 4
[1 marks]Work out 5928 ÷ 6
Question 5
[1 marks]Work out 49 of 117
Question 6
[1 marks]Write down the next number in the sequence. 76, 68, 60, 52, ___
Question 7
[2 marks]Write a number in each box to complete the statements.
Question 8
[1 marks]Which number is two hundred less than five thousand and forty?
Question 9
[1 marks]Write the missing sign ( =, < or > ) in the box. 16 × 4 ___ 9 × 7
Question 10
[1 marks]The temperature inside a greenhouse is 11°C and the temperature outside is −6°C. How many degrees warmer is it inside than outside?
Question 11
[2 marks]A regular decagon (10-sided shape) is divided into 10 equal triangles, meeting at its centre, like a pie.
Question 12
[1 marks]Maya's train to Leeds was scheduled to leave at 10:15 and to arrive at 11:05. However, the train left 6 minutes late and then took 53 minutes. At what time did Maya arrive?
Question 13
[1 marks]Which number between 90 and 120 is a multiple of both 4 and 9?
Question 14
[1 marks]Omar thinks of his favourite number. He multiplies it by 4, subtracts 7, and gets 29. What was his favourite number?
Question 15
[4 marks](a) When Farah calls out a number, Priya multiplies it by 4 and then subtracts 6, and writes down the result.
| Farah calls out | Priya writes down |
|---|---|
| 7 | ? |
| ? | 30 |
| ? | −2 |
Question 16
[4 marks]Hana has five number cards: 2, 3, 4, 5, 6. The cards can be placed together to form a number. For example, using three cards the smallest 3-digit multiple of 3 that can be made is 234.
Question 17
[4 marks]The information on a pack of 'Chicken Curry' is shown per 100 g: Protein 12 g, Carbohydrate 20 g, Fat 6 g, Fibre 3 g, Salt 0.4 g.
Question 18
[3 marks]Mrs Ahmed asked all the children in Year 7 whether they play hockey. Class 7A: 16 play, 26 total. Class 7B: 18 do not play. Overall: 28 do not play, 54 total.
Question 19
[3 marks]It is known that 236 × 145 = 34,220. Use this calculation to work out:
Question 20
[5 marks]In a magic square the sum of the numbers in each row, column and diagonal is the same. Complete the magic square below (it uses each of the numbers 1 to 16 once).
Question 21
[2 marks]Nasreen buys a box containing a selection of three types of biscuit. There are 10 chocolate biscuits. A third of the other biscuits are shortbread. There are 16 jaffa cakes.
Question 22
[1 marks]In a box of shapes there are 4 times as many hearts as stars, and 3 times as many moons as hearts. If there are 60 hearts, how many shapes are there altogether?
Question 23
[1 marks]Which bus takes the shortest time from Denby to Fairfield, and by how many minutes? Bus X: departs 9:15, arrives 10:42. Bus Y: departs 9:50, arrives 11:05.
Question 24
[1 marks]Nadia's marks on five mental arithmetic tests are: 14, 17, 11, 16, 22. What is her mean (average) mark?
Question 25
[1 marks]A number line runs from 30 to 34, split into 20 equal small divisions (each worth 0.2). An arrow points to the 7th small division after the 31 mark. What number is the arrow pointing to?
Question 26
[1 marks]A parallelogram (which is not a rectangle) has area 12 cm² and a base of 4 cm. What is its perpendicular height?
Question 27
[1 marks]Which is more likely: rolling a multiple of 3 with a fair six-sided die, or drawing a heart from a standard 52-card deck?
Question 28
[2 marks]A shape has vertices at (2,1), (5,1), (5,3), (3,3), (3,5) and (2,5). Reflect it in the line y = x. Give the reflected coordinates.
Question 29
[2 marks]In a long jump competition, the distances jumped were: Grace 1.85 m, Holly 1.5 m, Ivy 0.7 m, Jade 1.65 m, Kira 1.15 m.
Question 30
[4 marks]Penny places 5p coins, touching, in a straight line. She hopes to make a line of coins measuring 500 metres. A 5p coin has a diameter of 20 mm.
Question 31
[2 marks]Zara was born on 14 March 2005 and her mother, Farah, was born on the same date 24 years earlier.
Question 32
[2 marks]Six girls took a maths test. Their marks were: 19, 21, 12, 7, 15, 21. Zoe's mark was 8 more than Yara's mark and 6 less than Wren's mark.
Question 33
[3 marks]Leah checks the time when she sets off on her journey to school: her clock's hour hand points exactly halfway between 7 and 8, and its minute hand points exactly at the 6.
Question 34
[4 marks]The diagram shows information about girls in Year 7 who play netball and/or hockey: netball & hockey: 10, netball & not hockey: 8, not netball & hockey: 6, not netball & not hockey: 6.
Question 35
[1 marks]The diagram shows two squares: a larger square with perimeter 24 cm, and a smaller square drawn inside it by joining the midpoints of its sides. What is the area of the smaller square?
Question 36
[2 marks]Bertie the Bee flies in straight lines from P, 12 cm to Q, and then from Q to R, which is 12 cm due south of P.
Question 37
[2 marks]A matchbox measures 2 cm high, 3 cm wide and 6 cm long.
Question 38
[1 marks]A rhombus is drawn on a grid with vertices at (2,5), (5,9), (8,5) and (5,1). Three points are listed: X (5,2), Y (5,10), Z (3,4). Write the letter names of the points that lie inside the rhombus.
Question 39
[1 marks]To convert ounces and pounds to kilograms: 16 ounces = 1 pound, 2.2 pounds = 1 kg. A newborn panda cub weighs about 40 ounces. Which of these gives the best approximation of its mass in kilograms: 0.5 kg, 1 kg, 1.5 kg, 2 kg, 2.5 kg, or 3 kg?
Question 40
[5 marks]A sequence of patterns is made from small squares arranged in a bigger square. Pattern n has n² small squares, perimeter 4n, and (n+1)² dots.
| Pattern number | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Number of small squares | 1 | 4 | ? | ? |
| Perimeter (cm) | 4 | 8 | ? | ? |
| Number of dots | 4 | 9 | ? | ? |
Question 41
[2 marks]Two icebergs, X and Y, are floating in the ocean. On 1 January, iceberg X weighs 5 tonnes (5000 kg) but loses 40 kg every day.
Question 42
[3 marks]In a tower of bricks, the number on a brick is found from the two bricks supporting it.
Question 43
[3 marks]A number machine works to the rule 'cube each digit and then add the cubes together'. For example, input 25 gives output 133 (2³ + 5³ = 8 + 125 = 133).
Question 44
[4 marks]Nadia has three spinners, X, Y and Z, each with 4 sections.
Question 45
[4 marks]A bird has 2 legs, a cat has 4 legs, an insect has 6 legs, and a spider has 8 legs. Priya looks at some animals and counts all their legs — she counts 50 legs. There are 3 times as many birds as spiders, and 3 times as many cats as insects.
Question 46
[6 marks]Tia adds three consecutive prime numbers: 5 + 7 + 11 = 23. She notices the sum of three consecutive primes often gives another prime number.