BECE JHS Mathematics 2019 Past Questions

Given that A = {2,4,6,8,10} and B = {4,8,12}, find A ∪ B.

(a) Given that x = {whole numbers from 4 to 13} and y = {multiples of 3 between 2 and 20},
find X ∩ Y .

(b) Find the Least Common Multiple (L.C.M) of the following numbers: 3, 5, and 9.

(c) If ${p+2q}/{p}={7}/{5}$, find the value of q/p, where p &neq; 0.

Express 0.000344 in standard form.

(a) Solve: ${{4x+5}/{5}}+\{{x-3}/{4}}=-1$.
(b) The ratio of boys to girls in a school is 12:25. If there are 120 boys.
(i) how many girls are in the school?
(ii) what is the total number of boys and girls in the school?

(c) Simplify: (8x²y³)\(frac38;xy⁴)

Which of the following numbers is the largest?

(a) In an examination, 60 candidates passed Integrated Science or Mathematics. If 15 passed both
subjects and 9 more passed Mathematics than Integrated Science, find the:
(i) number of candidates who passed each subject
(ii) probability that a candidate passed exactly one subject.

(b) Factorize: xy+6x+3y+18.

Correct 0.024561 to three significant figures.

(a) Express 250% as a fraction in its lowest term.
(b)
*insert image*
Use the diagram to find the value of x.

(c) Simplify: 2 ÷ $({15/64}+{6/7})$

(d) if q = (⁷ _-1) and r = (⁴ _-5), find (q + r )

Simplify: (7⁵ × 7³) ÷ 7⁶

(a)
*insert image*
The mapping shows the relationship between x and y.
using a scale of 2cm to 1unit on the x-axis and 2 cm to 2 units on the y-axis, draw two perpendicular axes 0x and 0y on a graph sheet for 1 ≤ x ≤ 5 and 0 ≤ y ≤ 14;
plot the point for each ordered pair,(x,y) .
Join the points with a straight line;
Using the graph, find the gradient of the line in 5 (a)(iii);
Use the graph to find the equation of the line in 5 (a)(iii).

How many lines of symmetry has a square?

The marks obtained by students in a class test were

$\table 4,8,7,6,7;2,1,7,4,7;3,7,8,4,3;7,5,2,7,2;5,4,8,3,2$

(a) construct a frequency distribution table for the data.

(b) Find the:
(i) mode of the distribution;
(ii) median mark of the test;
(iii) mean mark.

Solve the equation 10 - $(x+3)/2$ = 8.

Factorize: kx+2xt-4k-8t.

There are 12 boys and 18 girls in a class. Find the fraction of boys in the class.

Express 30% as a fraction in its lowest term.

Make k the subject of the relation, ky - k = y².

The mean of the numbers 5, 2x, 4 and 3 is 5. Find the value of x.

Find the rule of the mapping
${\table x,1,2,3,4,5;↓,↓,↓,↓,↓,↓;y,3,1,-1,-3,-5}$

The two sides of a parallelogram are 4.8m and 7.2m long. Finds its perimeter.

A tank in the form of a cuboid has length 6m and breadth 4m. If the volume of the tank is 36m2, find the height.

If the bearing of A from B is 240°, find the bearing of B from A.

Find the truth set of the inequality 2y+5<4y-5.

Find the gradient of the straight line which passes through the points (-3,4) and (3,-2).

If 6:8=r:48, find the value of r.

Find ∠QPS in the diagram.

A man travelled a distance of 8km in an hour. How long will it take him to cover a distance of 12km, travelling at the same speed?

A number is selected at random from: 25,26,27,28… 35. Find the probability that the number selected is a prime number.

Express 12/25 in decimal fraction.

Find the diameter of a circle whose circumference is 88cm. [Take π = 22/7]

When twelve is subtracted from three times a certain number and the result is divided by four, the answer is eighteen. Find the number.

In the diagram, line MN is parallel to line TU, line MN at O and Angle MQS=115°. Find Angle OTU.

Given that r = (^-3-5) and t = (³ ₅), find r + t.

A trader sold 90 oranges at 3 for GH₵ 0.75. How much did she get from selling all the oranges?

Express 72 as a product of prime factors

Simplify 3a × 24ab.

Simplify: (^-2 ₃) + (^-1 ₅)

Multiply 247 by 32

Evaluate: (0.07 × 0.02) ÷ 14.

In a class of 23 students, the girls were 7 more than the boys. How many boys were in the class?

Express 30 minutes as a percentage of 3 hours 20 minutes.

Find the Least Common Multiple (LCM) of 2, 3 and 5.

The simple interest on GH₵ 450.00 for 4 years is GH₵ 45.00, find the rate of interest.

Find the median of the following numbers: 46, 68, 34, 37, 76 and 81.

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In the Venn diagram M and N are the subsets of the universal set U. Use this information to answer questions 39 and 40.```
Find M∩N.

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In the Venn diagram M and N are the subsets of the universal set U. Use this information to answer questions 39 and 40.```
How many members are in the set N?