Year 10 Mathematics Method Term 3

Indices

100

Simplify x³ × x⁴

x⁷

200

When is “National Ice Cream” month?

July

300

Write using positive indicies 1/(x^-3)

x³

400

Write as a surd x^(3/2)

sqrt(x³)

500

Simplify (x⁵y^-2)/(x^-1y³)

x⁶/y⁵

Logarithms

100

Evaluate log₁₀(100)

2

200

What was the first Disney animated feature movie that was not based on an already existing story?

The Lion King

300

Expand log₂(8x)

log₂8 + log₂x

400

Evaluate log₃(27) + log₂(9)

3 + 2 = 5

500

Solve log₂(x) + log₂(4) = 5

log₂(4x) = 5

4x = 32

x = 8

Simultaneous Equations

100

Solve

x + y = 10

x = 6

x = 6

y = 4

200

Solve

x + y = 10

x - y = 2

x = 6

y = 4

300

Which well-known home entertainment brand was started by Fusajiro Yamauchi in 1889 for the manufacture of Japanese playing cards?

Nintendo

400

Solve 

y = 9-2x

3x - 2y = 4

x = 22/7 y = 19/7

500

A cinema sells adult tickets for $15 and student tickets for $10, a group buys 12 tickets for $160.

How many adult and student tickets were bought?

a + s = 12

15a + 10s = 160

a = 8

s = 4

Inequalities

100

x + 3 > 7

x > 4

200

Is x = 5 a solution to

2x + 1 <= 10

No

2(5) + 1 = 11

300

Solve:

3x - 5 <= 10

x <= 5

400

Where does tiktok originate from

TikTok

500

Is (2,5) in the required region of:

y > 2x + 1

5 > 2(2) + 1

5>5

No

Quadratics

100

Factorise

6x + 12

6(x+2)

200

Which animal is sometimes referred to as the “sea cow”?

Manatee

300

Factorise

x² - 25

(x-5)(x+5)

400

Solve

x² + 5x = 0

x(x+5)

x = 0, x = -5

500

Solve

x²+x-6 = 0

(x-2)(x+3)

x = 2 x = -3