Yr 10 Maths Quiz

Data Analysis

100

What percentage of scores lie below the upper quartile?

75%

200

Calculate the mean: 12, 17, 23, 28, 25

21

300

Difference between the mode and range of: 32, 35, 12, 48, 53, 32, 88, 68, 24

76 - 32 = 44

400

Find the IQR of: 4, 7, 8, 11, 13, 15, 18, 20

IQR = 9

500

Two points on a scatterplot are (23, 67) and (31, 91). Find the equation of the line of best fit that passes through these 2 points.

y - 67 = 3( x - 23)

y = 3x - 2

Linear Relationships

100

What is the gradient of the line: y = -4x - 9

m = -4

200

Which line is the steepest:

y=-2x+3   y=2x+7  y=-3x-8

y=-3x-8

300

Find the distance from (0,0) to (3,4)

d = 5 units

400

M(2, 5) is the midpoint of P(-1, -3) and Q(?, ?). Find the coordinates of Q.

Q (5, 13)

500

Find the equation of the line parallel to y=3x+8 and through (4, -6)

y - -6 = 3(x - 4)

y = 3x - 18

Financial Maths

100

Which is the greatest: 5% of $460 OR 9% of $250

5% of $460 = $23

200

Bill gets a 10% discount off a $42.50 shirt. How much does he pay?

$42.50 - $4.25 = $38.25

300

Jill buys a new $2400 computer on the following terms. 25% deposit and monthly payments of $85 for 2 years. How much does she end up paying?

25% x 2400 + 24 x $85 = $2640

400

Using the simple interest formula, I = Prn, find the interest on $5000 at 9%p.a. over 4 years.

I = $1800

500

Given FV = PV(1+r)^n,  find the future value (FV) of $5200 invested at 8% p.a. over 4 years, compounded yearly (nearerst $)

FV = 5200(1.08)⁴ = $7075

Indices & Surds

100

m³ x m⁴ =

m⁷

200

(3a⁴b²)³ = 

27a¹²b⁶

300

Simplify the surd:   square root of 48

4 square root 3

400

Simplify: square root of 50 + square root of 32

9 square root 2

500

Evaluate without a calculator:  25^-1/2

(25 to the power of negative one half)

1/5 (one fifth)

Trigonometry

100

The longest side in a right angled triangle is called?

hypotenuse

200

In SOH CAH TOA, what does TOA mean?

Tan of angle = Opposite side / Adjacent side

300

Three sides of a triangle are 8cm, 15cm & 17cm. Using calculations, prove the triangle is right angled or not.

YES the 3 numbers work for Pythagoras' Theorem: 8² + 15² = 17²

400

A right angled triangle ABC has sides AB=6cm and BC =9cm, find angle CAB (angle B is right angle)

56 degrees

500

A non right-angled triangle ABC has an area of 588. If AC =42 and angle C is 30 degrees, find BC. (Area=1/2abSinC)

BC = 28