Revision

Place Value/Expanded form

100

What is the value of 6 in 567?

60 or 6 tens

200

What is the value of 8 in 3076.8

8 tenths

300

What is the value of 9 in 456.09

9 hundredths

400

What is 3894 written as expanded form WITH indices?

3x10³+ 8x10²+9x10¹+4x1

500

What is 6085 written in expanded form WITH index notation?

6x10³+ 8x10¹+5x1

Indices

100

Simplify 5x5x5x5x5 with indices

5⁵

200

Simplify 2x2x3x2x3x3 with indices

2³+3³

300

Simplify AND evaluate:
2x2x2+3x3

2³+3² 

= 8 + 9
= 17

400

Simplify and evaluate:

4+3x3-2

4+3²-2

= 4+9-2

= 13 -2

= 11

500

Simplify and evaluate:

5x5- 3x3 +2

5² - 4² + 4

=25 - 16 +4

= 13

Mental strategies

100

Use partitioning to solve:
124 +132

100+100+20+30+4+2 = 256

200

Use compensating to solve:
29 + 35

30+35 - 1 = 74

300

Use doubling or halving to solve:

75 + 78 

75 + 75 + 3 = 153

400

Use compensating to solve:

There are 398 lollies in one packet and 105 in another packet. How many lollies altogether?

400+105 - 2 = 503

500

Use compensating to solve:

121 - 19 

121-20 + 1 = 102

Factors/Multiples

100

What are the factors of 6?

1,2,3,6

200

What are the first 6 multiples of 4?

4,8,12,16,20,24

300

What are the factors of 7?

1 and 7

400

What is the HCF of 8 and 32?

8

500

What is the LCM of 6 and 15?

30

Square/Square root

100

Evaluate 4²

16

200

Evaluate 2² + 4²

20

300

What is the square root of 64?

8

400

Evaluate what the square root of 25 is added to the square root of 100?

15

500

Evaluate what the square root of 25 is multiplied with the square root of 16?

5x4 = 20