BECE JHS Mathematics 2017 Past Questions

If Q = {1, 3, 5, 7, 9, 10, 11, 13, 15} and T = {1, 2, 3, 5, 6, 7, 10, 11, 12}, find Q ∪ T

(a) In a class of 30 girls, 17 play football, 12 play hockey and 4 play both games.
Draw a Venn diagram to illustrate the given information
How many girls play:
(α) one or two of the games;
(β) none of the two games?

b. *insert image*
In the diagram, ABCD is a circle of radius 14 cm and centre O. Line BO is perpendicular to line AC. Calculate, the total area of the shaded portions.

If 21 : 2x = 7 : 12, find the value of x.

(a) Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger, gives 144. Find the two numbers.
(b) A paint manufacturing company has a machine which fills 24 tins with paint in 5 minutes.
(i) How many tins will the machine fill in
(α) 1 minute, correct to the nearest whole number?
(β) 1 hour?
(ii) How many hours will it take to fill 1440 tins?

(c) Given that $s={n/2}[2a+(n-1)d]$ ,a=3,d=4 and n=10, find the value of s.

Given that $(1/2q) = (1/8)$, find the value of p.

(a) Using a ruler and pair of compasses only, construct:
(i) a triangle ABC, with |BC| = 9cm, |AC| = 8 and |AB| = 6 cm;
(ii) the perpendicular bisector of line BC;
(iii) the bisector of angle ACB

(b) Label the point of intersection of the two bisectors as Y.

(c) Draw a line to join B and Y.

(d) Measure
(i) |BY|;
(ii) |YC|;
(iii) the base angles of triangle BYC.

(e) What type of triangle is BYC?

Simplify 3q×12pq

(a) The table below shows the ages of students admitted in a hospital.

Age(years)	10	11	12	13	15	15
No of Students	5	1	7	10	3	4

Use the information to answer the following questions:
(i) What is the modal age?
(ii) Calculate, correct to two decimal places, the mean age of the students.

(b) Rice is sold at GHc 56.00 per bag of 50 kg. A trader bought some bags of rice and paid GHc 1,344.00.
(i) How many bags of rice did the trader buy?
(ii) If the trader retailed the bags of rice at GHc 1.40 per kg, how much profit was made on 1 kg of rice?

If A = {2, 6, 8} and B = {4, 6, 8, 10}, which of the following statements is true?

(a) Using a scale of 2 cm to 1 unit on both axes, draw on a graph sheet two perpendicular axes Ox and Oy for -5≤x≤5 and -5≤y≤5
(i) Plot, indicating the coordinates of all points A(2, 3) and B(–3, 4). Draw a straight line passing through the points A and B.
(ii) Plot on the same graph sheet, indicating the coordinates of the points C(4, 2) and D(–2, –3). Draw a straight line passing through the points to meet line AB

(b) Using the graphs in 5(a),
(i) find the values of y when x = –2;
(ii) measure the angle between the lines AB and CD.

Find the product of 4xy⁴ and x²yz

The sum of the interior angles of a regular polygon with 10 sides is

8. Solve 2+x/3=1-2x

The ages of the members of a social club are 20 years, 55 years, 60 years and 25 years. Find the mean age of the members of the club.

Evelyn saved GHc 35.48 every month for 8 months. How much did she save?

Evaluate: 0.00492/0.041

A woman deposited an amount of GHc 50,000.00 at a bank for 2 years at a rate of 20% per annum. Find the simple interest.

What is the total cost of x shirts at GHc 5.00 each and y shirts at GHc 1.50 each?

At a meeting attended by 23 people, the females were 7 more than the males. How many males were there?

Find the value of x in the diagram.

How many lines of symmetry does a rhombus have?

In 1995, 215 boys and 185 girls were admitted into a Senior Secondary School. Find, correct to the nearest whole number, the percentage of girls admitted.

18. Simplify: ${{2(u-v)(2u+v)}/{4u+6v}}$

Solve 25x + 450 ≤ 3000

Given that a = (⁴ _-6) and b = (^-4 ₆), find a+b.

Mr. Agyekum has 11 of the GHc 20.00 notes, 15 of the GHc 10.00 notes and 6 of the GHc 5.00 notes. How much does Mr. Agyekum have altogether?

A man travelled a distance of 1.5 km in 30 minutes. What distance can he cover in 50 minutes, travelling at the same speed?

In the diagram, UVW is an isosceles triangle, |UV| = |UW| and angle VUW = 70°. Find angle UVW

Arrange the following in descending order: 7/20, 7/25, 37/100, 1/4

The point D(4, 3) is reflected in the y-axis. Find the coordinates of its image.

Simplify: 7½ × (¼ ÷ ½) - ¼

Divide 64.5 by 0.015, leaving the answer in standard form.

The point Q(–2, 3) is rotated anticlockwise about the origin through an angle of 90°. Find the coordinates of its image.

Elias bought five books. Their mean price was GHc 3.25. The total cost for four of the books was GHc 11.75. What was the cost of the fifth book?

```Tins of milk each of volume 77 cm3 and weight 170 g were packed into an empty carton of volume 1540 cm3 and weight 500 g.
Use this information to answer Questions 30 and 31```
How many tins of milk can be packed to fill the carton?

```Tins of milk each of volume 77 cm3 and weight 170 g were packed into an empty carton of volume 1540 cm3 and weight 500 g.
Use this information to answer Questions 30 and 31```
What is the weight of the carton when packed with the tins of milk?

A piece of cloth is 8.4 m long. If 30 cm is needed to sew a napkin, how many napkins can be sewn from this piece of cloth?

Express 10/32 as a decimal fraction.

A match box contains 40 sticks. If 15 of them are spoil, find the probability that a stick chosen at random is not spoilt?

```The number of pupils who attended hospital from eight classes on a particular day are: 1, 5, 3, 1, 7, 5, 1, 1.
Use the information to answer Questions 35 to 37.```
Find the median number.

```The number of pupils who attended hospital from eight classes on a particular day are: 1, 5, 3, 1, 7, 5, 1, 1.
Use the information to answer Questions 35 to 37.```
What is the modal number?

```The number of pupils who attended hospital from eight classes on a particular day are: 1, 5, 3, 1, 7, 5, 1, 1.
Use the information to answer Questions 35 to 37.```
Calculate the mean.

The distance from the centre of a circle to any point on it is called

Express 1352 as a product of prime factors.

Which of the following statements about sets is true?
subsets.