BECE JHS Mathematics 2000 Past Questions

M = {1, 2, 3, 8, 10} and N = {8, 1, x, 3, 2}. If M is equal to N, what is the value of x?

(a) Simplify: ⅔ of 6 ¾ ÷ (2 4/15 – 1⅔).

(b)Solve the equation ⅓(x+3)-2(x-5)= 4⅓

(c)If 3y = 2x2 – 3x + 7,find y, when x = 5.

In the Venn diagram Q is the set of numbers inside the circle and R is the set of numbers inside the triangle.

Find Q ∩ R.

(a) In the diagram, PADQ and RBCS are parallel lines. │BD│ = │DC│, angle ADB = 65° and angle ABR = 50°.
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(i)Calculate the angle BDC
(ii) Calculate angle ABD
(iii) Find angle BAD
(iv) What type of triangle is triangle ABD ?

(b)Using a ruler and a pair of compasses only, construct triangle XYZ, with |YZ| = 8cm, angle XYZ = 60° and |XY|=9cm.
Measure
(i) angle YZX;
(ii) |XZ|

Simplify: 11–(11–4)+13.

Ama was granted a loan of ¢800,000.00 by a bank. The rate of interest was 42% per annum.
(a)Calculate
(i)the interest at the end of the year;
(ii)the total amount Ama had to pay at the end of the year.

(b)Ama was able to pay only ¢700,000.00 at the end of the year.
(i)Find how much Ama still owed the bank
(ii)Express the amount Ama owed after paying the ¢700,000.00 to the bank as a percentage of the loan she took from the bank.

What is the value of ‘4’ in the number 2,043,507?

The following is a record of scores obtained by 30 JSS form 2 pupils in a test marked out of 5.

$\table 5,3,2,4,5,2,;4,3,1,1,3,3,;4,2,3,4,5,3,;4,3,2,4,3,1,;2,2,3,3,2,4;$

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a)Copy and complete the table.

b)Find the mean of the distribution.

c)If a pupil is selected at random from the form, what is the probability that he / she scored 4 marks ?

Which of the following is true?

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The diagram shows a running track ABCDEFA. AB and ED are the straight sides. The ends AFE and BCD are semi-circular shapes.
|AB| = |ED| = 90m and |AE| = |BD| = 70m.

Find
a)the total length of the two semi-circular ends, AFE and BCD;

b)the perimeter of the running track ABCDEFA;

c)the total area of the running track ABCDEF. (Take π = 22/7)

If (23×82)×79 = 148,994, find the exact value of (2.3×82)×7.9

Convert 206 to a base five numeral.

Which of the following inequalities is represented by the number line?

The product of three numbers is 1197. Two of the numbers are 3 and 21. Find the third number

Simplify:

A pencil sells at ¢180.00 and an eraser sells at ¢120.00. how much will you pay if you buy three pencils and four erasers ?

Simplify ${0.12×0.08}/{2.40}$

How many lines of symmetry has a square ?

In the diagram, MNO is a right-angled triangle. |MO| = 13cm and |MN| is 5cm.

Find the value of x.

Amina spends 17/35 of her pocket money on transport and food. If she spends 2/7 on transport only, what fraction does she spend on food ?

If x→3x–4, what is the image of –2?

Simplify: (2ab²)(3a²b)

It takes 15 men, 48 days to weed a plot of land. How many men can weed the same plot of land in 16 days, if they work at the same rate?

The ratio 9:x is equivalent to 36:20. What is the value of x ?

In an enlargement, PQ→P′Q′. |PQ| = 3cm and |P′Q′| =15. Calculate the scale factor of the enlargement.

Simplify: 7a – 3(b – a)

A man deposited an amount of money in his savings account for 5 years. The rate of interest was 14% per annum. If the interest was ¢35,000.00, find the amount deposited.

Arrange the following fractions from the lowest to the highest:¾ , 2/3 and 3/5.

The marked price of a radio set is ¢450,000. A discount of 5% of the marked price is allowed. What is the selling price of the radio set?

If 60% of the pupils in a school is 240, find the total enrolment in the school.

If a * b = 2a – b, evaluate 4 * 3

```The bar chart shows the mark distribution of pupils in a test. Use it to answer questions 27 and 28
What is the modal mark?

```The bar chart shows the mark distribution of pupils in a test. Use it to answer questions 27 and 28
```How many pupils took the test?

A school has a population of 600. Out of this, 120 are girls. What is the probability of meeting a pupil in the school who is a boy?

If 1/k = 1/k<sub>1</sub> + 1/k<sub>2</sub>, find k when k<sub>1</sub> = 1 and k<sub>2</sub> = 2.

Solve the equation 13x – 2 (3x + 4) = 22.

A rectangular tank is 4m long, 3m wide and 2.5m high. What is the volume of the tank?

Write the rule for the mapping:
${\table x,1,2,3,4;y,1,3,5,7}$

If r = (<sup>2</sup><sub>-1</sub>) and s = (<sup>-3</sup><sub>2</sub>), calculate 2r-3s.

Name the geometrical figure shown in the diagram.

A car travels 72 kilometres in an hour. Find its speed in metres per second.

The circumference of a circular track is 154m. Find the diameter of the track. (Take π = 22/7)

Find the value of the angle marked y in the diagram.

Which of the following best describes the construction in the diagram?

Ama is N years old now. How old will she be in 10 years?