Sec 1 Summer Maths Review

Simplify.

• 4x²y⁴

• -4x²y⁴

• -4x³y⁴

• None of these

​ Evaluate.

Solve.

Change to exponential form.

• (x + 3)³ = 4

• (x + 3)⁴ = 3

• 3⁴ = x + 3

• 3^(x+3) = 4

• log₃(27) = x

• log_x(27) = 3

• log₂₇(x) = 3

• log_x(3) = 27

• 1.234567 x 10⁶

• 0.1234567 x 10⁷

• 12.34567 x 10⁵

• 1.234567 x 10^-6

Using Pythagoras' Theorem, find the missing side of the right triangle.

Find x. Give answers correct to 1 decimal place if necessary.

Three points are shown on a grid. ABCD is a rectangle.

Write down the coordinates of the point D.