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SAT Practice: Calculator Questions 2 (2013/Level 6)

In this worksheet students practise answering questions similar to those found in past calculator extension SATs papers at level 6.

'SAT Practice: Calculator Questions 2 (2013/Level 6)' worksheet

Key stage:  KS 2

Curriculum topic:   Practice Papers

Curriculum subtopic:   SAT Calculator

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

This worksheet contains 20 questions similar to those found in past calculator extension SATs papers at level 6.

This is not a test paper, but a collection of questions for you to practise your maths at this level.

You may need some paper to carry out your working and you should use a calculator.

Which prime number is closest to 200?               

 

Annie makes a sequence of numbers.

 

Her rule is:

Subtract the previous number from 50 and then halve the result.

 

Select the three missing numbers in her sequence.

 

        20       15              

30

40

10

16.25

17.25

17.5

Here is a parallelogram drawn on a graph.

It is rotated through 90° clockwise about the point (7, 3).

What are the coordinates of the point to which the point (4, 3) will go?         

(7, 7)

(7, 6)

(7, 8)

(8, 7)

(5, 7)

(5, 6)

 

The factors of 12 are 1, 2, 3, 4, 6 and 12.

These factors multiply to give a factor product of 1728.

 

Match each number in Column A to its factor product in Column B.

Column A

Column B

9
91125
23
27
24
331776
37
23
45
37

Find the value of b in this equation.                     

 

5(2 + 5b) = 105

 

b = 

(Just write the number)

 This four-digit number is a square number.        

  

5   4

 

Write down the whole four-digit number.

Anna bakes a small birthday cake.

It is 5 cm tall and has a diameter of 24 cm.

 

 

Calculate the perimeter of the circular base of the cake in cm.

Give your answer to the nearest whole number.                         

 

Perimeter =  cm

(Just write the number)

The diagram shows two similar rectangles.                   

 

Calculate the area of rectangle B in cm².

 

 cm²

(Just write the number)

Light travels approximately 300 000 km in one hour.

To the nearest ten kilometres, how far does light travel in one second.

  

 km 

(Just write the number)

The current world population is approximately 7200 million people.

It is expected to reach 8000 million in the year 2024.

 

Write this increase as a percentage of the current population.

                 

 

   %

(Just write your answer to the nearest whole number)

A crate of eggs costs £162.50.

There are 120 boxes of eggs in a crate.

There are 6 eggs in each box. 

What is the cost of one egg to the nearest penny?

    

(Just write the number)

Jack's weight is one third of his dad's weight.

Together they weigh 94 kg.

 

How much does Jack's dad weigh in kg?

 

    kg 

(Just write the number)

Look at these equations.

 

a = b²

b = 4c

 

If c = 5.4, calculate the value of a.

a = 

The diagram shows an irregular pentagon.          

Calculate the size of angle y°.        

 

         

 

 

y = ° 

(Just write the number)

One fair coin and one fair dice are thrown.

 

      

 

Make a list of the possible outcomes on a piece of paper.

 

What is the probability of getting a tail on the coin and an even number on the dice?

y =

(Write your answer with the / symbol, e.g. 2/3 and remember to reduce your fraction to its lowest terms)

Work out:

 

23% of 45 added to 45% of 23.            

 

Match each line on the graph to its correct equation.

Column A

Column B

x = 6
A
y = 6
D
x + y = 6
C
y = x
B

Look at the scale on this dial.

The needle starts at 0 and moves in a clockwise direction.      

At what number has the needle stopped?

 

 

P, Q and R stand for three numbers.

 

Their sum is 142.

 

The mean of P and Q is 35.

The mean of Q and R is 59.

 

Find the value of Q.

A Leisure Centre has 3000 members.

There are 4 different types of membership and the annual charge for each type is shown below.

 

 Type Annual Charge
 Full £450
 Squash only £180
 Gym only £240
 Swim only £150

 

The number of people who have taken up each type of membership is shown in the pie chart below.

Calculate how much more the Leisure Centre receives from Full Memberships compared to the total of all the other memberships?

  £ 

(Just write the number)

  • Question 1

Which prime number is closest to 200?               

 

CORRECT ANSWER
199
EDDIE SAYS
201 is divisible by 3
Use a calculator to check that 199 is not divisible by 2, 3, 5, 7, 11, 13.
There is no need to go further as √199 = 14.1
  • Question 2

Annie makes a sequence of numbers.

 

Her rule is:

Subtract the previous number from 50 and then halve the result.

 

Select the three missing numbers in her sequence.

 

        20       15              

CORRECT ANSWER
10
16.25
17.5
EDDIE SAYS
To get the first number, double 20 and subtract the result from 50.
The fourth number is half of 35 = 17.5
The fifth number is half of 32.5 = 16.25
  • Question 3

Here is a parallelogram drawn on a graph.

It is rotated through 90° clockwise about the point (7, 3).

What are the coordinates of the point to which the point (4, 3) will go?         

CORRECT ANSWER
(7, 6)
EDDIE SAYS

  • Question 4

 

The factors of 12 are 1, 2, 3, 4, 6 and 12.

These factors multiply to give a factor product of 1728.

 

Match each number in Column A to its factor product in Column B.

CORRECT ANSWER

Column A

Column B

9
27
23
23
24
331776
37
37
45
91125
EDDIE SAYS
9: 1 × 3 × 9 = 27
23: prime so 1 × 23 = 23
24: 1 × 2 × 3 × 4 × 6 × 8 × 12 × 24 = 331776
37: prime so 1 × 37 = 37
45: 1 × 3 × 5 × 9 × 15 × 45 = 91125
  • Question 5

Find the value of b in this equation.                     

 

5(2 + 5b) = 105

 

b = 

(Just write the number)

CORRECT ANSWER
3.8
EDDIE SAYS
10 + 25b = 105
25b = 95
b = 95 ÷ 25 = 3.8
  • Question 6

 This four-digit number is a square number.        

  

5   4

 

Write down the whole four-digit number.

CORRECT ANSWER
5184
EDDIE SAYS
√5000 = 70.7
√5999 = 77.5
so we just need to try squaring numbers between 71 and 77 inclusive, but notice first that it ends in a 4 so only 72 squared will work .
  • Question 7

Anna bakes a small birthday cake.

It is 5 cm tall and has a diameter of 24 cm.

 

 

Calculate the perimeter of the circular base of the cake in cm.

Give your answer to the nearest whole number.                         

 

Perimeter =  cm

(Just write the number)

CORRECT ANSWER
75
EDDIE SAYS
Circumference = πd
Diameter, d = 24 cm
Circumference = π × 24 = 75.398... cm
  • Question 8

The diagram shows two similar rectangles.                   

 

Calculate the area of rectangle B in cm².

 

 cm²

(Just write the number)

CORRECT ANSWER
45
EDDIE SAYS
The ratio of lengths is 4:6 = 2:3
Height of B = 5 × 3 ÷ 2 = 7.5 cm
Area of B = 6 × 7.5 = 45 cm²
  • Question 9

Light travels approximately 300 000 km in one hour.

To the nearest ten kilometres, how far does light travel in one second.

  

 km 

(Just write the number)

CORRECT ANSWER
80
EDDIE SAYS
1 hour = 60 minutes = 3600 seconds
300000 ÷ 3600 = 83.3333 km in one second
  • Question 10

The current world population is approximately 7200 million people.

It is expected to reach 8000 million in the year 2024.

 

Write this increase as a percentage of the current population.

                 

 

   %

(Just write your answer to the nearest whole number)

CORRECT ANSWER
11
EDDIE SAYS
Increase = 800 million
As a percentage, this is 800 ÷ 7200 × 100 = 11.1111 %
  • Question 11

A crate of eggs costs £162.50.

There are 120 boxes of eggs in a crate.

There are 6 eggs in each box. 

What is the cost of one egg to the nearest penny?

    

(Just write the number)

CORRECT ANSWER
23
EDDIE SAYS
1 egg costs 16250 ÷ 120 ÷ 6 = 22.56....p which rounds up to 23 p
  • Question 12

Jack's weight is one third of his dad's weight.

Together they weigh 94 kg.

 

How much does Jack's dad weigh in kg?

 

    kg 

(Just write the number)

CORRECT ANSWER
70.5
EDDIE SAYS
Jack will weigh ¼ of 94 kg and his dad will weigh ¾ of 94 kg = 94 ÷ 4 × 3 = 70.5 kg.
  • Question 13

Look at these equations.

 

a = b²

b = 4c

 

If c = 5.4, calculate the value of a.

a = 

CORRECT ANSWER
466.56
EDDIE SAYS
b = 4 × 5.4 = 21.6
a = 21.6² = 466.56
  • Question 14

The diagram shows an irregular pentagon.          

Calculate the size of angle y°.        

 

         

 

 

y = ° 

(Just write the number)

CORRECT ANSWER
137
EDDIE SAYS
The interior angles of a pentagon add to 3 × 180° = 540°
2y + 74 + 111 + 81 = 540
2y + 266 = 540
2y = 274
y = 274 ÷ 2 = 137°
  • Question 15

One fair coin and one fair dice are thrown.

 

      

 

Make a list of the possible outcomes on a piece of paper.

 

What is the probability of getting a tail on the coin and an even number on the dice?

y =

(Write your answer with the / symbol, e.g. 2/3 and remember to reduce your fraction to its lowest terms)

CORRECT ANSWER
1/4
EDDIE SAYS
The 12 possible outcomes are:
T1, T2, T3, T4, T5, and T6.
H1, H2, H3, H4, H5 and H6.
T2, T4 and T6 are the 3 desired outcomes out of 12.
  • Question 16

Work out:

 

23% of 45 added to 45% of 23.            

 

CORRECT ANSWER
20.7
EDDIE SAYS
23% of 45 = 45 ÷ 100 × 23 = 10.35
Notice that 45% of 23 = 23 ÷ 100 × 45 = 10.35 as well
  • Question 17

Match each line on the graph to its correct equation.

CORRECT ANSWER

Column A

Column B

x = 6
B
y = 6
C
x + y = 6
D
y = x
A
EDDIE SAYS
Line A: the y-coordinate always equals the x-coordinate.
Line B: the x-coordinate always equals 6.
Line C: the y-coordinate always equals 6.
Line D: the x-coordinate added to the y-coordinate always equals 6.
  • Question 18

Look at the scale on this dial.

The needle starts at 0 and moves in a clockwise direction.      

At what number has the needle stopped?

 

 

CORRECT ANSWER
280000
280,000
EDDIE SAYS
Each large mark is worth 200000.
Each small mark is worth 40000.
  • Question 19

P, Q and R stand for three numbers.

 

Their sum is 142.

 

The mean of P and Q is 35.

The mean of Q and R is 59.

 

Find the value of Q.

CORRECT ANSWER
46
EDDIE SAYS
If two numbers have a mean of 35, their sum is 2 × 35 = 70.
P + Q = 70
Q + R = 118
So P + Q + Q + R = 70 + 118 = 188
But P + Q + R = 142
So Q = 188 - 142 = 46
  • Question 20

A Leisure Centre has 3000 members.

There are 4 different types of membership and the annual charge for each type is shown below.

 

 Type Annual Charge
 Full £450
 Squash only £180
 Gym only £240
 Swim only £150

 

The number of people who have taken up each type of membership is shown in the pie chart below.

Calculate how much more the Leisure Centre receives from Full Memberships compared to the total of all the other memberships?

  £ 

(Just write the number)

CORRECT ANSWER
251250
EDDIE SAYS
Number of Full Memberships = 156 ÷ 360 × 3000 = 1300
Revenue from Full Memberships = 1300 × £450 = £585000
Number of Squash Memberships = 45 ÷ 360 × 3000 = 375
Revenue from Squash Memberships = 375 × £180 = £67500
Number of Gym Memberships = 90 ÷ 360 × 3000 = 750
Revenue from Gym Memberships = 750 × £240 = £180000
Number of Swim Memberships = 69 ÷ 360 × 3000 = 575
Revenue from Swim Memberships = 575 × £150 = £86250
Final answer = 585000 - (67500 + 180000 + 86250) = £251250
---- OR ----

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