Grade 10

Algebra

100

3(x−2)+4=2(x+5)

x = 12

200

∣2x−5∣=7

x = 6 or x = −1

300

{2x+3y=13

{x−y=1

x= 16/5  y= 11/5

400

 If x and y satisfy:

x+y=7, x²+y²=29

find xy

xy = 10

500

Find all values of k such that:

x²−(k+1)x+k=0

k = 1

Geometry

100

A circle has radius 4. Find the diameter.

8

200

A square has perimeter 24. Find its area.

36

300

Exterior angle of a triangle is 120°. One remote interior angle is 50°. Find the other.

70°

400

The angles of a triangle are in ratio 2:3:4. Find the largest angle.

80° 

500

A cylinder has radius 3 and height 5. Find its volume.

45π

Trigonometry

100

Simplify:

sin⁡θ/cos⁡θ 

tanθ

200

If a right triangle has opposite side = 3, adjacent = 4 and hypotenuse = 5, find:

sin ⁡θ

3/5

300

Find the missing side:
Right triangle with hypotenuse 10 and angle 30∘
Find opposite side.

5

400

cosx=-root 3/2

x = 150°, 210°

500

2cos2x−1=0

x = 45°, 135°, 225°, 315°

grade 9

100

x+5=12

x=7

200

2x−4=10

x=7

300

2x−1≤9

x≤5

400

x/3+4=9

x=15

500

2(x+3)−4=10

x=4

grade 9

100

3x=18

x=6

200

x+3>8

x>5

300

5(x−2)=15

x=5

400

3x+2>14

x>4

500

4x−7≤9

x≤4