MATHS CHALLENGE

Solving Equations

100

Solving the following equation

x - 4 = -5 

x = -1

200

Solve the following equation 

5x - 9 = 11

x = 4

300

Solving the following equation

3x - 4 = 2x + 1 

x = 5

400

Solving the following equation  

6x - 2 / -5 = - 2

x = 2

500

Solving the following equation  

3(2x -5) - 2(x-1) = 3

x = 4

Measurement

100

Convert 423mm to cm 

42.3cm 

200

Find the circumference of a circle with a diameter of 6.5m 

20.4m 

300

Find the area of a triangle with a base of 10m and a height of 7.5m 

37.5m²

400

Find the area of a circle with a radius of 4.5cm 

63.6cm²

500

Find the area of a right angled triangle with a base of 10cm and hypotenuse 26cm 

120cm²

Real Number

100

Simplify the following ratio 

10 : 15 : 25 

2 : 3 : 5

200

Express as a percentage 

Jeff spent 5 months out of the last two years overseas 

20.8%

300

Increase $750 by 12% 

$840

400

Find:

4 / 7 + 4 / 5 

48/35

500

A pie cart sells chicken pies and beef pies in the ratio 3:8. If 96 beef pies were sold, how many chicken pies were sold? 

36

Geometric Reasoning

100

What do angles in a quadrilateral add up to? 

360^o

200

Find the complementary angle to 24^o

66^o

300

An isosceles triangle has an apex angle of 33^o, find the base angles.

73.5^o

400

Name the four tests for congruent triangles 

SAS, SSS, AAcorS, RHS

500

A quadrilateral has angles of 110o, 90o, xo and 3xo. Find x

40^o

Random

100

Find the hypotenuse of a right-angle triangle with shorter sides of 10cm and 12cm 

15.62cm 

200

Simplify the following

2x + 3x - 2y + 4y

5x + 2y

300

Find the highest common factor of 44 and 110

22

400

Find the shorter side of a right-angle triangle with sides of 8.5cm and 15cm 

12.36cm

500

Find the median of the following numbers

10  23  12  14  16  24  28  18

17