Indices
Standard form
Roots
Surds
HCF and LCM
100

43

64

100

(2.7 x 103) + (1.2 x 103)

3.9 x 105

100

√25

±5

100

Simplify √50

5√2

100

Write 400 as a product of its prime factors

2x 52

200

811/2

9

200

(1.2 x 103) x (8 x 102)

9.6 x 105

200

3√64

4

200

Simplify √72

6√2

200

Find the highest common factor of 140 and 252

22 x 7 = 28

300

612 ÷ 64

68

300

(2.07 x 104) - (1.23 x 103

1.947 x 104

300

4√81

±3

300

Simplify √216

6√6

300

What is the lowest common multiple of 15 and 24

120

400

(33)2

36

400

(9.3 x 105) ÷ (2.1 x 102)

3 x 103

400

3√125

5

400

Expand and simplify √2(√2 + √8)

6

400

Hot dogs are sold in packs of 9, and buns are sold in packs of 6. 

What is the least number of each pack that is needed to have the same number of hot dogs and buns?

2 packs of hot dogs - 18 dogs

3 packs of buns - 18 buns

500

(28)÷ (23)2

210

500

Order the following:

46.5 x 10-3, 4.65 x 103, 0.00465, 465 x 102

0.00465, 46.5 x 10-3, 4.65 x 103, 465 x 102

500

5√7776

6

500

Expand and simplify (√3 + √5)2

8 + 2√15

500

A red light flashes every 5 seconds, a yellow light flashes every 8 seconds, and a blue light flashes every 12 seconds. If all three lights flash at the same time, after how many seconds will they next flash together?

120 seconds

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