YEAR 12 MATHEMATICS SECOND TERM EXAM

One-third of the sum of two numbers is 12. Twice their difference is 12. Find the numbers.

• 21 and 15

• 20 and 16

• 22 and 14

• 23 and 13

Find the quadratic equation whose roots are 2/3 and-3/4

• y2 + y – 6 = 0

• 12y2 – y – 6 = 0

• 12y2 + y – 6 = 0

• 12y2 – y + 6 = 0

The angle of a sector of a circle of radius 3.4 cm is 1150. Find the area of the sector. (Take π = 3.142)

• 10.2 cm2

• 11.6 cm2

• 12.7 cm2

• 9.4 cm2

The diagonals of a rhombus are 16 cm and 12 cm. Find the length of the side.

• 8 cm

• 10 cm

• 14 cm

• 20 cm

The angle of elevation of the top of a vertical building from point Z on the ground is 500. If the height of the building is 124 m, find the distance from Z to the foot of the building.

• 104.05 m

• 147.78 m

• 161.87 m

• 192.91 m

A student measured the height of a pole as 5.98 m which is less than the actual height. If the percentage error is 5%, find, correct to two decimal places, the actual height of the pole.

• 6.65 m

• 7.67 m

• 6.29 m

• 7.18 m

The radius and height of a solid cylinder are 8 cm and 14 cm respectively. Find, correct two decimal places, the total surface area (Take π = 3.142)

• 1,106.28 cm2

• 1,016.29 cm2

• 1,106.29 cm2

• 1,206.27 cm2

If 2x – 3y = - 11 and 3x + 2y = 3, evaluate (y – x)2.

• 4

• 9

• 16

• 25

Change 432five to a number in base three.

• 10100three

• 11100three

• 11101three

• 10110three

Find the 17th term of the Arithmetic progression (A.P): - 6, - 1, 4, ….

• – 91

• – 86

• 74

• 79