ABC Education · 11+ Practice

Week 43 · Maths Practice Paper

22 questions · 66 marks · Suggested time: 45 minutes.

Question 1

[1 marks]

Find 3000 − 15 + 25 − 15

Question 2

[2 marks]

Calculate 59 of 972

Question 3

[4 marks]

The table below lists the charges on a new toll road:

	Daytime	Night
Lorry	£7	£5
Car	£3.50	£2.50
Motorbike	£3	£1.50
Van	£4.50	£3.50

(a)

How much would a lorry driver and a car driver save altogether by travelling at night?

(b)

During one night, the toll road is used by 150 cars, 180 lorries and 30 vans. How much money is collected altogether?

Question 4

[2 marks]

t × 0.45 = 45. What is the value of t?

t =

Question 5

[2 marks]

Calculate the missing angle in the triangle shown below:

angle =

Question 6

[4 marks]

Frank chooses two different numbers from the bubble shown below, and divides one number by the other.

(a)

What is the largest number he can get?

(b)

What is the smallest result?

(c)

What division gives the result closest to 1?

Question 7

[4 marks]

Calculate:

(a)

4¾ + 3⅚ [Write your answer as a mixed number]

(b)

5 × 3¾

Question 8

[3 marks]

Frank is making a sequence of numbers. The first number is 2 and the third is 18. Frank gets his sequence by multiplying the previous value by the same number each time. Write in the three missing numbers in the sequence shown.

2, ___, 18, ___, ___

Question 9

[4 marks]

Solve each of the following equations:

(a)

10 − x = 3

(b)

x + 25 = 1½

Question 10

[3 marks]

On the ski slopes the depth of the snow is 180cm and each day 4cm melts. After how many days will the depth of snow have fallen to 124cm?

days

Question 11

[2 marks]

Frank catches the 8.15 train from Cambridge to Northampton and he arrives in Northampton at 10.03. How long was his journey? Give your answer in hours and minutes.

Question 12

[4 marks]

Here is a rectangular tile. A pattern is made using 4 of these tiles arranged around a central empty square.

(a)

What is the perimeter of the outer edge of the design?

(b)

What is the perimeter of the square left empty in the middle?

Question 13

[2 marks]

(a)

In one hour, how many degrees does the hour hand of a clock move?

(b)

How many degrees does the hour hand move between 2.15am and 5.45am?

Question 14

[2 marks]

What is the average of 23 and 14?

Question 15

[4 marks]

Complete the following table. The first one has been done for you. (Leave all fractions in their lowest form.)

Fraction	Decimal	Percentage
9/20	0.45	45
3/4	?	?
?	0.32	?
19/20	?	?

Question 16

[3 marks]

Frank does the following calculations. Mark his work as correct or wrong.

18 − 6 × 3 = 45

9 × 3 + 5 × 5 = 52

15 + 2 × 8 − 4 = 27

36 ÷ 4 + 3 = 8

28 ÷ 7 − 2 × 1 = 2

Question 17

[3 marks]

Granddad spends one fifth of his weekly pension on a Friday night out, and one quarter of what remains on a Saturday night. What fraction of his weekend pension is left for him to spend during the rest of the week?

Question 18

[4 marks]

The bar chart shows the sales of pizza at a restaurant for the days shown.

(a)

How many more pizzas were sold on Tuesday than on Saturday?

(b)

What is the average (mean) number of pizzas sold per day?

Question 19

[5 marks]

Find the values of D, E and F in the following addition sum.

  D 5 8
  6 3 E
+ 7 F 9
-------
1 9 5 4

D = ___, E = ___, F = ___

Question 20

[2 marks]

There are 300 sheets of paper in a pad. The pad is 1.2cm thick. Find the thickness of one sheet.

(a)

in cm

(b)

in mm

Question 21

[2 marks]

Exactly one of these statements is correct. Which one?

A) 41² + 29² = 2521      B) 63² + 47² = 6184
C) 58² + 35² = 4599      D) 52² + 38² = 4148      E) 29² + 66² = 5190

Question 22

[4 marks]

I have 3 dogs — Fido, Gem and Hoss. When I weigh Fido and Gem they come to 10kg more than Hoss. When I weigh Gem and Hoss they weigh 6kg more than Fido. When I weigh Fido and Hoss they weigh 16kg more than Gem. What is the combined weight of all three dogs?