BECE Mathematics Past Questions 2016

The table shows the marks of some students in a test. Marks: 0→3, 1→4, 2→5, 3→4, 4→5, 5→4, 6→7, 7→3, 8→4, 9→2, 10→2 students. How many students failed the test, if the pass mark was 4?

Which of the following is a finite set?

Correct 48,947.2547 to the nearest hundred.

The diagonal of a rectangle is 10 cm long. If the length of the rectangle is 8 cm, find its breadth.

The figure QPR is an equilateral triangle. If angle PRS = (2x − 10°), find the value of x.

The instrument used to measure the angle between two lines that meet at a point is known as a

The point P(−3, 7) is reflected in the x-axis. Find its image.

If a = −4 and b = 3, evaluate (3a + 2b) / (ab).

The bearing of X from Y is 196°. What is the bearing of Y from X?

Simplify the column vector sum: (−3, 5) + (2, −7)

Study the triangle of odd numbers: Row 1: 1 | Row 2: 3, 5 | Row 3: 7, 9, a | Row 4: 13, b, c, 19. Evaluate: a + b + c.

Study the triangle of odd numbers: Row 1: 1 | Row 2: 3, 5 | Row 3: 7, 9, a | Row 4: 13, b, c, 19. Evaluate: 13 + b + c + 19.

In an enlargement, XY → X₁Y₁. If |XY| = 24 cm and |X₁Y₁| = 8 cm, calculate the scale factor of the enlargement.

The sum of the interior angles of a regular polygon is 540°. Find the number of sides of the polygon.

The mean of three numbers is 12. If two of the numbers are 14 and 16, find the third number.

Find the area of a circle whose diameter is 7 cm. [Take π = 22/7]

A boy bought 3 pairs of socks at GHc 17.50 per pair and paid with two GHc 50.00 notes. How much change was he given?

The perimeter of an isosceles triangle is 45 cm. Find the length of the third side, if each of the equal sides is 14 cm long.

How many lines of symmetry has a rectangle?

An angle which is greater than 180° but less than 360° is

Find the image of 5 under the mapping x → 4x − 7.

When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.

Solve the inequality: 2x + 10 ≥ (7/2)x − 5

Simplify: 4(x + 2) − 3(x + 1)

Given that t = p² + 1, find p when t = 10.

Make P the subject of the relation: R = (P + Q) / 2

What is the probability of obtaining 4, when a fair die is tossed once?

Simplify: 5² × 2² × 5² × 2

A car cost GHc 12,500.00. A discount of 9% is given for cash payment. Find the cost of the car when payment is made by cash.

Fifteen boys took 12 hours to weed a plot of land. If nine boys work at the same rate, how long will it take them to weed the plot of land?

Find the simple interest on GHc 120,000.00 for 5 months at 12% per annum.

Correct 5178.3426 to two decimal places.

Simplify: (46 × 102) + (102 × 54)

Arrange the following integers from the least to the highest: −4, 9, −10, −7 and 2.

If P = {2, 3, 4, 6, 8} and Q = {1, 2, 3, 4}, find P ∩ Q.

Given that M = {a, b, c}, find the number of subsets of M.

Find the Least Common Multiple (LCM) of the numbers 5, 10 and 12.

Evaluate: 4/5 − 1/3 + 2/9

Simplify: 16 + 5.6 + 0.681

The table shows the marks of some students in a test. Marks: 0→3, 1→4, 2→5, 3→4, 4→5, 5→4, 6→7, 7→3, 8→4, 9→2, 10→2 students. What is the modal mark?