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HCF and LCM
Prime Numbers
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Prime Decomposition
Squares and Square Roots
100

Find the LCM of the following pair of numbers: 4 and 9

36

100

State whether each of the following are prime (P) or composite (C) numbers: 14, 23 and 70

14 = C

23 = P

70 = C

100

Simplify the following expressions by writing them in index form.

15 x 15 x 15 x 15

154 

100

Express the following number in prime factor form: 16

24

100

Evaluate: 332

1089

200

Find the HCF of the following pair of numbers: 16 and 20

4

200

List the composite numbers between, but not including 80 and 100.

81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99

200

Simplify the following expression by writing it in index form.

2 x 3 x 5 x 5 x 3 x 2 x 2

23 x 32 x52

200

Express this number in prime factor form: 100

22 x 55

200

Evaluate: Square root of 169

13

300

Find the LCM of the following group of numbers: 3, 4 and 7

84

300

Find the prime numbers that are factors of 60.

2, 3, 5

300

Write the following in expanded form: 144

14 x 14 x 14 x 14

300

Express the number in prime factor form: 820

22 x 5 x 41

300

Evaluate the square root of 8100

90

400

Find the HCF of the following group of numbers: 24, 72 and 16

8

400

13 and 31 are known as a pair of 'reverse numbers'. They are also both prime numbers. Find any two-digit pairs of prime reverse numbers.

17 and 71, and others.

400

Evaluate: 2 x 52 - 72

1

400

Express 144 and 96 in prime factor form.

144 = 24 x 32, 96 = 25 x 3

400

Evaluate: Square root of 81 - 32

0

500

Armani runs laps of a circuit in 4 minutes. Jack runs laps of the same circuit in 3 minutes. Vangee can run laps of the same circuit in 6 minutes. They all start together on the starting line and run a race that goes for 36 minutes. What is the first time, after the start, that they will all cross over the starting line together?

12 minutes.

500

The following are not prime numbers, yet they are the product (x) of two primes. Find the two primes for the following numbers: 143

11 and 13

500

Bella sends a funny meme to five friends. Each of the five friends then forwards the meme to five other friends and each of these people also sends it to five other friends. How many people see Bella's meme?

125

500

Express 25200 and 77000 in prime factor form.

25200 = 24 x 32 x 52 x 7, 77000 = 23 x 53 x 7 x 11

500

Find the three different square numbers that sum to 59.

1, 9 and 49