BECE JHS Mathematics 2002 Past Questions

State the property used in the operation a(b+c) = ab + ac.

(a)Simplify2 ¾ ÷ (3 3/8 – 1 ½)
(b)There are 50 pupils in a class. Out of this number, speaks French only andof the remainder speak both French and English. If the rest speak English only,
(i)find the number of students who speak
(α)both French and English
(β)only English

(ii) draw a Venn diagram to illustrate the above information

Simplify 0.1 x 0.02 x 0.003
(leaving your answer in standard form)

A shop sells a pencil at ¢500.00 and a pen at ¢2,000.00

a)If Afua bought 8 pencils and 5 pens, how much did she pay together for them?

b)The price of a pencil is increased by 20% and a pen by 10%. Find how much Otu will pay for 10 pencils and 8 pens.

Express 1/25 as a decimal fraction.

a) Using a ruler and a pair of compasses only, construct

(i)triangle ABC such that AB = 12cm, AC = 8cm and BAC = 30°;
(ii)a perpendicular from C to meet AB at M.

b)Measure
(i) angle ABC;
(ii) |CM|.

c)Calculate the area of triangle ABC.

In an examination, 25% of the candidates failed to obtain the pass mark. The number of candidates who passed was 150. How many candidates failed?

(a) Solve the inequality ${{5x-3}/6}-{{2x-4}/4}<2$
(b) (i) Copy and complete the table of values for the relation, y=2x+1
*insert image*
(ii)Using a scale of 2cm to 1 unit on the x-axis and 2cm to 2units on the y-axis, plot the ordered pairs (x, y) on a graph sheet.
(iii)Use a ruler to join the points plotted.
(iv)Use your graph to find
α)x, when y = 4 ;
β)y, when x = -2.5

How many faces has a cube?

The table shows the number of students in a JSS class who prepared various dishes for their practical.
*insert image*
(a)(i) Draw a pie chart for the distribution above.
(ii} What dish was prepared most?
(iii) What percentage of students prepared Fried Rice?

(b)What is the probability that a student chosen at random cooked Fried Plantain and Beans?

Simplify: 28÷23

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The Venn diagram above shows the number of pupils in a class of 40, who speak Twi or Ga or neither.```
How many pupils speak both Twi and Ga?

How many pupils speak neither Twi nor Ga?

Find the least common multiple (LCM) of the numbers 10, 15 and 25.

Which of the following expressions is illustrated on the number line below?

Simplify ${{2a}/3}-{{a-b}/2}$

Correct 0.00025 to one significant figure.

Ify : 28 = 5 : 7, find y.

Convert 121<sub>five</sub> to a base ten numeral.

In the mapping
${\table x,=,1,2,3,4,5;y,=,4,7,10,k,16}$
Find the image of 4 under the mapping.

The point K (3,4) is rotated through 180o about the origin. Find its image.

Arrange the following fractions in descending order of magnitude: ½ , 17/20 , ¾

Which of the following best describes the construction below?

Find the image of the point K (3, 5) when it is reflected in the x-axis.

A set of furniture was sold for ¢300,000.00 at a profit of 20%. Find the cost price.

Make x the subject of the relation,v2 = u2 + 2ax.

Three baskets contain 95 oranges, x oranges and 2x oranges. How many oranges are in the three baskets?

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The pie chart shows the distribution of programmes offered by 720 students at Kofikrom.

Use this information to answer Questions 23 and 24```
Find the value of the angle marked y.

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The pie chart shows the distribution of programmes offered by 720 students at Kofikrom.

Use this information to answer Questions 23 and 24```
How many more students offered Science subjects than Arts subjects

Kofi is two years older than Ama. If the sum of their ages is 16, find Ama’s age.

J = ½ mv2.Ifv = 4 and J = 12, find m.

PQR is a right-angled triangle. The area of the triangle is 6cm2 and |QR| = 3cm. Find |PQ|.

A rectangle has a length of 8cm and a breadth of 6cm. How long is its diagonal?

Simplify⅓(2⅔ + ⅚).

A man divided his 360 cattle among his three sons in the ratio 7:6:5. How many cattle did the one who had the smallest share receive?

The marks obtained by 9 students in a test are 3, 3, 4, 5, 6, 7, 7, 7, 8. Find the median

The marks obtained by 9 students in a test are 3, 3, 4, 5, 6, 7, 7, 7, 8. What is the mode?

What is the fifth term of the sequence ⅓, ⅖, &frac37;, ...?

men dig a pit in 21 days. How many days will 14 men take to dig the pit, working at the same rate?

A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball?

The figure below is a cuboid with dimensions x cm by y cm by z cm. Find the area of the

A rod 200cm long is broken into two parts. The shorter part is one-quarter of the length of the rod. Express the shorter part as a percentage of the longer part.

In the figure below, MN and PQ are straight lines. Find the value of the angle marked x in the figure.

Find the value of x in the equation x/4 = 2

The circumference of a circular track is 15.4m. Find the diameter of the track. (Take π = 22/7)