Math Olympics

Algebra

100

Solve for x: 2x+5=17

x=6

200

Solve: 2(x−1)=x+5

x=7

300

Solve for x: 5x−3=2x+9

x=4

400

Solve: 5x+10=3x+26

x=8

500

If x=5, what is the value of 2x+7

17

Geometry

100

Find the perimeter of a rectangle with sides 5 cm and 8 cm.

→ 2(5+8)=26 cm

200

What type of triangle has all equal sides?

Equilateral triangle

300

Find the volume of a cube with side 4 cm

→ 4×4×4=64cm³

400

Find the area of a circle with radius 3 cm (use π≈3.14)

area of a circle= πr^2

→ πr^2=3.14×9=28.26cm^2

500

A triangle has a base of 6 cm and height of 10 cm. Find its area.

→ 1/2×6×10=30cm^2

SYSTEMS OF EQUATIONS

100

SOLVE USING SUBSTITUTION

x+3y=0

2x+y=-5

x= -3

y=1

200

SOLVE USING SUBSTITUTION

7x-y=-6

4x+3y=3

x= -3/5

y=9/5

300

SOLVEUSING EQUALISATION

3x-y=1

2x+y=-1

x=0

y=-1

400

SOLVEUSING REDUCTION

4x-3y=2

2x+y=-4

x=-1

y=-2

500

SOLVE USING REDUCTION

x+2y=1

3x-y=7

x=15/7

y= -4/7

Statistics

100

Find the mean of: 5, 7, 9, 4, 5

→ (5+7+9+4+5)÷5=30÷5=6

200

Find the mode: 2, 3, 5, 2, 7, 3, 3

3

300

Find the median: 12, 8, 10, 6, 14

→ Ordered: 6, 8, 10, 12, 14 → Median = 10

400

Find the range of: 15, 21, 9, 18, 12

→ 21−9=12

500

The scores in a test were: 6, 8, 7, 9, 5, 6, 8. What is the mean?

7

Multiplication and Division

100

376 X 43

16.168

200

864÷12=

72

300

99×11=

1.089

400

750÷25=

30

500

(300÷5)+(240÷6)=

100