# Calculate Without Using a Calculator

In this worksheet, students will be asked to find alternative ways to solve a calculation rather than using the most obvious approach. The student will be tested on addition, subtraction, multiplication and division.

Key stage:  KS 2

Curriculum topic:   Number: Addition, Subtraction, Multiplication and Division

Curriculum subtopic:   Solve Multi-Step Add/Subtract Problems

Difficulty level:

### QUESTION 1 of 10

In this worksheet, you will be asked to find alternative ways of carrying out the given calculations, as if the '5' key is broken on your calculator.

As a mathematician, it's important you are able to find different ways of solving a calculation, as this demonstrates you have a great set of skills!

Example:

Work out 127 + 25 =

127 + 10 + 10 + 2 + 2 + 1 = 152

Can you choose the alternative ways to carry out the calculation without using the '5' on your calculator?

45 + 16

44 + 1 + 16

42 + 5 + 16

46 - 1 + 16

44 +5 + 1 + 10

Can you choose the alternative ways to carry out the calculation without using the '5' on your calculator?

75 + 18

75 + 10 + 8

74 + 1 + 10 + 8

74 + 1 + 18

76 - 1 + 18

Choose which of the available options are correct for the following calculation when you are unable to use the '5' key?

5 x 3

 3 x 4 + 3 5 + 5 + 5 3 + 3 + 3 + 3 + 3 3 x 3 x 5 Alternative

Can you match the given options to either correct or incorrect to solve the calculation without using the broken '5' on your calculator?

19 - 5

## Column B

19 - 6 + 1
Incorrect
19 - 3 + 1
Correct
20 - 6
Correct
19 - 4 - 1
Correct

Can you match the given options to either correct or incorrect to solve the calculation without using the broken '5' on your calculator?

85 - 15

## Column B

85 - 10 - 6
Incorrect
80 + 5 - 10 - 6
Correct
86 - 16
Incorrect
84 - 14
Correct

Can you choose the correct option to solve the calculation without using the broken '5' on your calculator?

65 x 11

Can you choose the correct option to solve the calculation without using the broken '5' on your calculator?

15 + 18

Look at the options given below as an alternative way to solve 18 ÷ 5 and type into the box the correct answer.

18 - 10 + 5

18 ÷ ( 4 + 1)

18 - 5

18 ÷ 4 + 1

Look at the options given below as an alternative way to solve 27 ÷ 5

27 ÷ (4 + 1)

2.27 ÷ (4 + 1)

54 ÷ 10

3.54 ÷ 10

Can you choose the correct alternative method to solve the calculation?

3.5 x 4

7 x 2

34 x 5

3.5 + 3.5 + 3.5

3 x 5 + 4

• Question 1

Can you choose the alternative ways to carry out the calculation without using the '5' on your calculator?

45 + 16

44 + 1 + 16
46 - 1 + 16
EDDIE SAYS
It definitely forces us to think when we aren't allowed to use a number! The two correct options were 44 + 1 - 16 46 - 1 + 16
• Question 2

Can you choose the alternative ways to carry out the calculation without using the '5' on your calculator?

75 + 18

74 + 1 + 10 + 8
74 + 1 + 18
76 - 1 + 18
EDDIE SAYS
As with the previous question, we had to look carefully for options that can correctly solve the calculation without using the 5 key. The three correct options were; 74 + 1 + 10 + 8 74 + 1 + 18 76 - 1 + 18
• Question 3

Choose which of the available options are correct for the following calculation when you are unable to use the '5' key?

5 x 3

 3 x 4 + 3 5 + 5 + 5 3 + 3 + 3 + 3 + 3 3 x 3 x 5 Alternative
EDDIE SAYS
How did you get on? You have to look carefully in order to notice the methods that will allow us to solve 5 x 3 without using the '5' key are 3 x 4 + 3 3 + 3 + 3 + 3 + 3
• Question 4

Can you match the given options to either correct or incorrect to solve the calculation without using the broken '5' on your calculator?

19 - 5

## Column B

19 - 6 + 1
Correct
19 - 3 + 1
Incorrect
20 - 6
Correct
19 - 4 - 1
Correct
EDDIE SAYS
There were three correct alternative solutions for 19 - 5 The correct solutions were; 19 - 6 + 1 20 - 6 19 - 4 - 1
• Question 5

Can you match the given options to either correct or incorrect to solve the calculation without using the broken '5' on your calculator?

85 - 15

## Column B

85 - 10 - 6
Incorrect
80 + 5 - 10 - 6
Incorrect
86 - 16
Correct
84 - 14
Correct
EDDIE SAYS
There were two correct alternative solutions for 85 - 15 The correct solutions were; 86 - 16 84 - 14
• Question 6

Can you choose the correct option to solve the calculation without using the broken '5' on your calculator?

65 x 11

EDDIE SAYS
There is one correct alternative solution for 65 x 11 The correct solution is; 64 x 11 + 11
• Question 7

Can you choose the correct option to solve the calculation without using the broken '5' on your calculator?

15 + 18

EDDIE SAYS
There is one correct alternative solution for 15 + 18 The correct solution is; (40 + 26) ÷ 2 Remember to always carry out the calculation in brackets first! Don't worry if you struggled with that extra step.
• Question 8

Look at the options given below as an alternative way to solve 18 ÷ 5 and type into the box the correct answer.

18 ÷ ( 4 + 1)
EDDIE SAYS
How did you find this question? It requires that you look carefully at the alternatives given and hopefully, you spotted that 18 ÷ (4 + 1) is the correct alternative to 18 ÷ 5. This alternative calculation works because of the use of brackets. Therefore, 18 ÷ 4 + 1 cannot work because it doesn't include the use of brackets! Did you get caught out?
• Question 9

Look at the options given below as an alternative way to solve 27 ÷ 5

27 ÷ (4 + 1)
54 ÷ 10
EDDIE SAYS
Hopefully, you're getting the hang of this now! You have to look carefully at the alternatives given and then spot that both 27 ÷ (4 + 1) and 54 ÷ 10 are both alternatives to 27 ÷ 5.
• Question 10

Can you choose the correct alternative method to solve the calculation?

3.5 x 4

7 x 2
EDDIE SAYS
The only available alternative option here was 7 x 2. If we double 3.5 and halve 4, we have the calculation 7 x 2, this gives us the answer 14, the same as if we calculate 3.5 x 4. Great focus, that’s another activity completed!
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