BECE 2000 Mathematics (Maths) Paper 2 Essay
BECE PAST QUESTIONS AND ANSWERS
BECE 2000
MATHEMATICS (MATHS)
ESSAY (Paper 2)
1. (a) Simplify: 2/3 of 6 ¾ ÷ (2 4/15 – 1 2/3).
(b) Solve the equation 13 (x + 3) - 2(x - 5) = 4 13
(c) If 3y = 2x2 – 3x + 7, find y, when x = 5.
2. (a) In the diagram, PADQ and RBCS are parallel lines. │BD│ = │DC│, angle ADB = 65° and angle ABR = 50°.
(i) Calculate the angle BDC
(ii) Calculate angle ABD
(iii) Find angle BAD
(i) 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|
3. 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.
(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.
4. The following is a record of scores obtained by 30 JSS form 2 pupils in a test marked out of 5.
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.
|
Score (x)
|
Tally
|
Frequency (f)
|
fx
|
1
| |||
2
| |||
3
| |||
4
| |||
5
| |||
Total
|
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?
5.
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)
Answers and Solutions to BECE 2000 Maths Paper 2
Find in the video below the solutions and answers to this maths past question.
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