speed maths 4 kids quick reference chart

By Bill Handley

Speed Math

Fun 4 Kids Quick Reference Sheet

This short booklet includes most of the

commonly used Bill Handley techniques

you may need.

It’ is brief. You will need to study the

book to be skilled in all the fun basic

calculations.

25 + 9 = +

25 + 10 =

35

rounding

Then return the difference at the end………. . .

Turns into. . . .

35 - 1 = 34

addition shortcut

25 + 10 =

35

subtraction -

rounding

184 - 57

=

Then return the difference at the end………. . .

Turns into. . . .

124 + 3 =127

184 - 60 =

124

subtraction

x

shortcut

times

tables

7 x 8 10 -3

Take away crossways 8-3 or 7-2 = ?

Write after the answer 5 after the equals

7 x 8 = 5

Multiply the circles -3 x -2 = 6

Write 6 next to the 5. Your answer is:

7 x 8 = 56

-2

+

x

single-digit

multiplication

The easy way means less mistakes

43 x 6

Add up the subtotals ………. . .

Turns into. . . .

240 + 18 = 258827

4 x 6 = 24

24 x 10 = 240 3 x 6 = 18

127

x

v

Multiplying Larger Numbers

Let's try 123 x 45:

1 2 3 1 2 3 1 2 3 1 2 3

x 45 x 45 x 45 x 45

4000 5300 5520 5535

Follow the easy one-line pattern above for paperless multiplication!

Starting on the left going to right. Keep adding the new collection of numbers to get a new total.

Round numbers above 10 for easier working out and less errors.

x

criss-cross multiplication Using reference number 10

14 x 14 =

10 +4

14 + 4 = 18

Write after the equals 14 x 14 = 18

Multiply 18 x 10 (ref no.) = 180

Multiply the circles 4 x 4 = 16

Add up totals: 180 + 16 = 196

+4

g

Just in case you forget your time tables. . .

56 G 8 =

2

division

shortcut

8 56 10

1. Ask what is 10 take away 8. Write the

answer 2 in a circle

2. Add the 2 to the 10s digit 5. 2+5 = Write the answer 7.

Take away 7 from 10

To get the 3 in circle.

3. Multiply the numbers

in the circles. 2 x 3 = 6

4. Take away 6 from the 6. The remainder

is 0. The answer is 7.

.

8 56 7

2 3 7

7

long division shortcut

13 1390

Floating division in one line. . .

1390 G 13

7. Float the 3 in the 13 and put a decimal point after the 9.

1. Divide the 1 into 1 of 139. 1 G 1= 1. Write 1 in the

answer.

2. Now multiply the floating 3 with 1

3. in the answer. 3 x 1 = 3.

4. 3 - 3= 0. Write 0 in the answer.

5. 9 G 1= 9. Put aside. Multiply

floating 3. 3 x 9 = 27

6. 9 – 2.7 = 6.3

How many 1’s in 6.3?

6 remainder 3. Write 6 in the answer.

You can keep going until your

remainder Is zero.

106

1# 139.0

1# 139.0

1# 139.0

1

1# 139.0

3-

0

0

3-

0

0

10

106

2.7-

6.3

0

speed checking

4 answers

CASTING 9’s

If correct working out Answer &

Question will = the same substitute

number

1. Add all the numbers together in the question until there’s one number. This is our SUBSTITUTE. NUMBER.

2. (1 + 4 = 5) x (1 + 5 = 6) =

6 x 5 = 30.

Now add that answer to get one number 3 + 0 = 3

10

210 2 + 1 + 0 = 3

14 x 15 =

210

+ 6

+ 5

Correct! Isn’t that easier than doing

the whole sum again?

Now add the digits in the answer