ABC Education

ABC Education · 11+ Practice

Week 11 · Maths Practice Paper

24 questions · 55 marks · Suggested time: 45 minutes.

Question 1

[2 marks]

Round the following numbers as stated

(a)
283 to the nearest 10
(b)
7419 to the nearest 1000

Question 2

[4 marks]

Work out the following calculations

(a)
328 × 7
(b)
3648 ÷ 6

Question 3

[4 marks]

Fill in the gaps

(a)
√(81) = ___
(b)
___ × 25 = 300
(c)
___ × 0.5 = 35
(d)
35 - ___ = 40

Question 4

[3 marks]

Place these seven numbers in the correct places in the Venn Diagram.

2      4      7      8      12      16      24
Multiples of 4Factors of 16
Answer:

Question 5

[2 marks]

Drinks menu: Tea GBP 1.35, Coffee GBP 1.55, Cappuccino GBP 1.85, Hot Chocolate GBP 1.45, Fruit Juice GBP 1.15, Milkshake GBP 1.65, Smoothie GBP 1.25, Fizzy Pop GBP 0.95. Jake buys 2 coffees, a smoothie and a hot chocolate. How much change does he receive from a GBP 10 note?

GBP

Question 6

[2 marks]

A teacher is making cupcakes for his class' party. He needs to make 18 cupcakes. He uses a recipe which makes 6 cupcakes, needing 3 tbsp of butter and 300g of flour.

(a)
How many tablespoons of butter will he need for 18 cupcakes?
(b)
He already has 0.5 kg of flour. How many more grams will he need to buy?

Question 7

[2 marks]

In 2018 a charity raffle raised GBP 560. In 2019 they raised 25% more. How much did the charity raise in 2019?

GBP

Question 8

[1 marks]

Priya's twin sisters are 5 years older than her. Altogether their ages add up to 88. How old is Priya?

Question 9

[1 marks]

Which calculation gives the largest result? Circle your answer.

4+1+3+5      4×1+3+5      4+1×3+5      4+1+3×5      4×1+3×5

Question 10

[3 marks]

Three vertices of a rhombus are (-2, 1), (2, 4) and (7, 4).

A (-2,1)B (2,4)C (7,4)
(a)
Plot these points (already shown above).
(b)
Write down the coordinate of the missing vertex of the rhombus.

Question 11

[1 marks]

Circle the number below which is NOT a factor of 60

20      150      60

Question 12

[2 marks]

Find the area of this shape.

9 cm7 cm3 cm12 cm
cm2

Question 13

[2 marks]

Circle the smallest number in each list.

(a)
0.203 0.23 0.223 0.302
(b)
0.85 45 78% 2125

Question 14

[2 marks]

Work out 34 - 29

Question 15

[2 marks]

What is 27% of 1400.

Question 16

[2 marks]

Put these in ascending order of size, show workings.

37 of 28      712 of 24      59 of 36

Question 17

[2 marks]

Given that a = 6, b = 9 and c = 3 complete the following expressions with <, > or =.

(a)
2a - c ___ c3
(b)
3a2 ___ 8b

Question 18

[2 marks]

In the diagram, B, C and D lie on a straight line. AC = BC (marked with tick marks). Angle ACD = 70°. Work out the angle marked x (angle ABC).

BCDAx°70°‖‖Diagram NOT accurately drawn
x =

Question 19

[3 marks]

Solve the following equations

(a)
x3 = 15
(b)
3b - 18 = 45

Question 20

[3 marks]

A farm equipment company kept a record of the number of tractors made each month.

020406080100MayJuneJulyAugSepttractors
(a)
Find the mean number of tractors (May-Sept).
(b)
Including the October sales the new mean is 42. How many tractors were made in October?

Question 21

[2 marks]

What fraction of these numbers are below the median?

3      9      11      5      8      2

Question 22

[3 marks]

Given that two teas and one coffee cost GBP 2.90 and one tea and three coffees cost GBP 4.20. How much does a single coffee cost?

p

Question 23

[3 marks]

A bridge is built across a river. One fifth of the bridge is over the left bank of the river and one quarter of the bridge is over the right bank. The river is 110m wide. How long is the bridge?

m

Question 24

[2 marks]

Write down all the numbers between 100 and 300 that have an odd number of factors.