SS3 mathematics welcome test

The 6th term of a GP is -2/27 and its first term is 18. What is the common ratio?

• -1/2

• -1/3

• 1/4

• 3

Simplify 56x^-4 ÷ 14x^-8

• 3x^-3

• 4x^-4

• 4x^-2

• 4x^4

A boy measured the length and breadth of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?

• 0.1%

• 0.2%

• 0.7%

• 10%

Expand (2x-5)(x-3)

• X2-5x-15

• 2x2-5x-8

• 2x2-11x+15

• 2x2-6x+15

If 3p-q=6 and 2p+3q=4, find q

• 2

• 3

• 0

• 2/3

The roots of a quadratic equation are -1/4 and 3. The quadratic equation is

• X2-11x-3=0

• 4x2-11x-3=0

• 4x2-11x+3=0

• 4x2+11x-3=0

If the hypotenuse of a right-angled isosceles triangle is 2, what is the length of each of the other sides?

• 1

• √2

• √3

• √2-1

Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. (Take π=3.142)

• 503.0cm^3

• 300.0cm^3

• 250.0cm^3

• 226.2cm^3

Each interior angle of a regular nonagon(nine sided polygon) is equal to

• 160°

• 144°

• 140°

• 132°

A town P is 150km from a town Q in the direction 050°. What is the bearing of Q from P?

• 230°

• 050°

• 130°

• 310°