Year 9 Math Jeopardy

Factors and Multipliers

100

Find the HCF of 36 and 54

18

200

Find the LCM of 8 and 12

24

300

Use the prime factors of 180 and 315 to find their HCF

45

400

Use the prime factors of 180 and 315 to find their LCM

1260

500

Find two numbers with HCF 18 and LCM 108

18 and 108 or 36 and 54

Prime Factors

100

Write 60 as a product of prime factors

2x2x3x5

200

Write 180 as a product of prime factors

2x2x3x3x5

300

What are the prime factors of 60

2, 3, 5

400

Explain why prime factorisation hels find HFC and LCM

breaks down numbers into basic building blocks

500

Prime factorise 360

2x2x2x3x3x5

Indices

100

If 64=2⁶, then find 2⁷

128

200

If 64 = 4³ and 4096 = 4⁶, write 64 x 4096 in index form.

4³ x 4⁶ = 4^{3+6} 4⁹

300

If 64 = 4³ and 4096 = 4⁶, write 4096 \ 64 in index form.

4⁶ \ 4³ = 4^{6-3} =4³

400

Explain the rule for multiplying powers with the same base.

Keep the base the same and add the indices/exponents (a^m x aⁿ = a^{m+n}).

500

Simplify (2³x2⁵) \2⁴

2⁴

Squares and Cubes

100

Identify all square numbers: 4, 100, -49, 36, 150, -25.

Square numbers must be non-negative integers resulting from an integer multiplied by itself: 4, 100, 36

200

Show that 27 is a cube number.

3 x 3 x 3 = 27 (or 3³ = 27), so 27 is 3 cubed.

300

Show that 50 is not a cube number.

3³ = 27 and 4³ = 64. Since 50 lies between 27 and 64, there is no whole number that cubes to 50.

400

Find all possible values of n if n² = 49.

n = 7 or n = -7  

500

Find the value of n if n³ = -8.

n = -2 (since (-2) x (-2) x (-2) = -8)

Negative Numbers

100

Calculate -4 \times -7.

28

200

Calculate -45 \ 5.

-9

300

Calculate -3 x (2 + -10).

24

400

Create a negative number calculation with answer 24.

Example: -6 x -4 = 24 or -48 \ -2 = 24

500

Create and solve a negative number expression involving brackets.

Example: -2 x (5 - 9) = -2 x (-4) =8