[YEAR 09 MATHEMATICS]: Practice 2025

If the opposite side to θ is 6 cm and the hypotenuse is 10 cm of a right-angle triangle, what is sinθ?

• 0.4

• 0.5

• 0.6

• 1.2

A ladder 10 m long leans against a wall. If the foot of the ladder is 6 m from the wall, what is the angle of elevation of the ladder?

• 30°

• 36.87°

• 45°

• 53.13°

If tan θ = 7/24, what is sin θ?

• 7/25

• 24/25

• 25/7

• 25/24

In a right triangle, one acute angle is 35°. What is the size of the other acute angle?

• 45°

• 55°

• 65°

• 75°

A person stands 50 m away from the base of a tree. The angle of elevation to the top of the tree is 37°. The height of the tree is approximately:

• 25 m

• 30 m

• 40 m

• 50 m

In index form q × q × q × q is:

• q + 4

• 4 × q

• q⁴

• 4⁴

The answer to 4b³ × 2b² is:

• 6b⁵

• 8b⁶

• 6b⁶

• 8b⁵

The answer to (15x²y³) / (5x²y²) is:

• 3y

• 3xy

• 3x⁴y⁵

• 3x⁴y⁶

In scientific form, 75 342 is:

• 7.5342 × 10⁵

• 7.5342 × 10⁴

• 75.342 × 10²

• 7.5342 × 10³

The expression (2.5 × 10⁵) × (3 × 10²) equals:

• 5 × 10¹⁰

• 5 × 10³

• 7.5 × 10⁷

• 7.5 × 10⁷