
2019 18

Lecture1.1

Lecture1.2

Lecture1.3

Lecture1.4

Lecture1.5

Lecture1.6

Lecture1.7

Lecture1.8

Lecture1.9

Lecture1.10

Lecture1.11

Lecture1.12

Lecture1.13

Lecture1.14

Lecture1.15

Lecture1.16

Lecture1.17

Lecture1.18


MATHEMATICS 29

Lecture2.1

Lecture2.2

Lecture2.3

Lecture2.4

Lecture2.5

Lecture2.6

Lecture2.7

Lecture2.8

Lecture2.9

Lecture2.10

Lecture2.11

Lecture2.12

Lecture2.13

Lecture2.14

Lecture2.15

Lecture2.16

Lecture2.17

Lecture2.18

Lecture2.19

Lecture2.20

Lecture2.21

Lecture2.22

Lecture2.23

Lecture2.24

Lecture2.25

Lecture2.26

Lecture2.27

Lecture2.28

Lecture2.29


ENGLISH LANGUAGE 29

Lecture3.1

Lecture3.2

Lecture3.3

Lecture3.4

Lecture3.5

Lecture3.6

Lecture3.7

Lecture3.8

Lecture3.9

Lecture3.10

Lecture3.11

Lecture3.12

Lecture3.13

Lecture3.14

Lecture3.15

Lecture3.16

Lecture3.17

Lecture3.18

Lecture3.19

Lecture3.20

Lecture3.21

Lecture3.22

Lecture3.23

Lecture3.24

Lecture3.25

Lecture3.26

Lecture3.27

Lecture3.28

Lecture3.29


INTEGRATED SCIENCE 29

Lecture4.1

Lecture4.2

Lecture4.3

Lecture4.4

Lecture4.5

Lecture4.6

Lecture4.7

Lecture4.8

Lecture4.9

Lecture4.10

Lecture4.11

Lecture4.12

Lecture4.13

Lecture4.14

Lecture4.15

Lecture4.16

Lecture4.17

Lecture4.18

Lecture4.19

Lecture4.20

Lecture4.21

Lecture4.22

Lecture4.23

Lecture4.24

Lecture4.25

Lecture4.26

Lecture4.27

Lecture4.28

Lecture4.29


SOCIAL STUDIES 29

Lecture5.1

Lecture5.2

Lecture5.3

Lecture5.4

Lecture5.5

Lecture5.6

Lecture5.7

Lecture5.8

Lecture5.9

Lecture5.10

Lecture5.11

Lecture5.12

Lecture5.13

Lecture5.14

Lecture5.15

Lecture5.16

Lecture5.17

Lecture5.18

Lecture5.19

Lecture5.20

Lecture5.21

Lecture5.22

Lecture5.23

Lecture5.24

Lecture5.25

Lecture5.26

Lecture5.27

Lecture5.28

Lecture5.29


INFORMATION COMMUNICATION TECH. (ICT)Bece Past Questions & Answers – 2017 (Social studies) 0
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Bece Past Questions & Answers – 2016 (Maths)
2016 BECE Mathematics (Maths) Past Questions Paper One
1. Which of the following is a finite set?
A. {2, 4, 6, 8, …}
B. {1, 2, 3, 4, …}
C. {…, 2, 3, 5, 7}
D. {3, 6, 9, 12}
D. {3, 6, 9, 12}
2. Given that M = {a, b, c}, find the number of subsets of M
A. 3
B. 4
C. 6
D. 8
D. 8
3. If P = {2, 3, 4, 6, 8} and Q = {1, 2, 3, 4}, find P∩Q
A. {2, 3, 4}
B. {7, 9, 10}
C. {2, 3, 4, 6, 8}
D. {1, 2, 3, 4, 6, 8}
A. {2, 3, 4}
4. A boy bought 3 pairs of socks at GHc 17.50 per a pair and paid with two GHc 50.00 notes.
How much change was he given?
A. GHc 27.50
B. GHc 37.50
C. GHc 47.50
D. GHc 48.50
C. GHc 47.50
5. Find the least Common Multiple (LCM) of the numbers 5, 10 and 12
A.
B.
C.
D.
C.
6. Correct 48,947.2547 to the nearest hundred.
A. 490
B. 48,900
C. 48,950
D. 49,000
B. 48,900
7. Simplify: 16 + 5.6 + 0.681
A. 2.2281
B. 22.281
C. 222.81
D. 2228.1
B. 22.281
8. Evaluate: \frac{ab}{cd}
A.
B.
C.
D.
C.
9. Arrange the following integers from the least to the highest – 4, 9, – 10, – 7 and 2.
A. –10, –7, –4, 2, 9
B. –10, 9, –7, –4, 2
C. –4, –7, –10, 2, 9
D. 2, –4, –7, 9, –10
A. –10, –7, –4, 2, 9
10. Simplify: (46 × 102) + (102 × 54)
A. 1,020
B. 10,200
C. 102,000
D. 1,020,000
B. 10,200
11. Correct 5178.3426 to two decimal places
A. 5178.00
B. 5178.30
C. 5178.34
D. 5178.35
C. 5178.34
12. Find the simple interest on GHc 120,000.00 for 5 months at 12% per annum.
A. GHc 6,000.00
B. GHc 7,200.00
C. GHc 50,000.00
D. GHc 72,000.00
A. GHc 6,000.00
13. Fifteen boys took 12 hours to weed a plot of land. If nine boys work at the same rate, how long will it take them to weed the plot of land?
A. 6 hours
B.
C.
D. 20 hours
D. 20 hours
14. A car cost GHc 12,500.00. A discount of 9% is given for cash payment. Find the cost of the car when payment is made by cash.
A. GHc 10,250.00
B. GHc 11,250.00
C. GHc 11,375.00
D. GHc 13,625.00
C. GHc 11,375.00
15. Simplify:
A.
B.
C.
D.
D.
The table shows the marks of some students in a test.
Marks  0  1  2  3  4  5  6  7  8  9  10 
Number of students  3  4  5  4  5  4  7  3  4  2  2 
Use the information to answer questions 16 and 17
16. What is the modal mark?
A. 2
B. 5
C. 6
D. 10
C. 6
17. How many students failed the test, if the pass mark was 4?
A. 4
B. 6
C. 16
D. 21
C. 16
18. What is the probability of obtaining 4, when a fair die is tossed once?
A.
B.
C.
D.
A.
19. Make P the subject of the relation,
A. P = Q – 2R
B. P = 2R – Q
C. P = 2R + Q
D. P = 2Q + R
B. P = 2R – Q
20. Given that , find p when t = 10.
A. 3.0
B. 4.5
C. 11.0
D. 81.0
A. 3.0
21. Simplify: 4(x + 2) – 3(x + 1).
A. x + 5
B. x + 11
C. 7x + 5
D. 7x + 11
A. x + 5
22. When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.
A. 5
B. 7
C. 14
D. 16
C. 14
23. Solve the inequality
A.
B.
C.
D.
B.
24. Find the image of 5, under the mapping x→4x7
A. 3
B. 13
C. 20
D. 27
B. 13
25. An angle which is greater than 180° but less than 360° is
A. a right angle
B. an acute angle
C. an obtuse angle
D. a reflex angle
D. a reflex angle
26. How many lines of symmetry has a rectangle?
A. 1
B. 2
C. 3
D. 4
B. 2
27. The perimeter of an isosceles triangle is 45 cm. Find the length of the third side, if each of the equal sides is 14 cm long.
A. 11 cm
B. 14 cm
C. 17 cm
D. 31 cm
C. 17 cm
28. Find the area of a circle whose diameter is 7cm.
[Take π = ]
A. 11 cm2
B. 38
C. 44
D. 54 cm2
B. 38
29. The mean of three numbers is 12. If two of the numbers are 14 and 16, find the third number.
A. 6
B. 12
C. 30
D. 36
A. 6
30. The sum of the interior angles of a regular polygon is 540°. Find the number of sides of the polygon.
A. 7
B. 6
C. 5
D. 4
C. 5
31. The figure QPR is an equilateral triangle. If angle PRS = (2x – 10°), find the value of x.
A. 55°
B. 65°
C. 85°
D. 95°
B. 65°
32. The diagonal of a rectangle is 10 cm long. If the length of the rectangle is 8 cm, find its breadth.
A. 2 cm
B. 3 cm
C. 5 cm
D. 6 cm
D. 6 cm
33. In an enlargement,, calculate the scale factor of the enlargement.
A.
B.
C.
D.
D.
Study the triangle of odd numbers and use it to answer Questions 34 and 35.
13 b c 19
7 9 a
3 5
1
34. Evaluate: 13 + b + c + 19.
A. 62
B. 64
C. 74
D. 76
34. B. 64
35. Evaluate: a + b + c
A. 24
B. 29
C. 36
D. 43
D. 43
36. Simplify:
A.
B.
C.
D.
C.
37. The bearing of X from Y is 196°. What is the bearing of Y from X?
A. 016°
B. 074°
C. 106°
D. 244°
A. 016°
38. If a = – 4 and b = 3, evaluate
A.
B. 1
C.
D.
C.
39. The point P (– 3, 7) is reflected in the xaxis. Find its image.
A. (–3, –7)
B. (–3, 7)
C. (–7, 3)
D. (3, –7)
A. (–3, –7)
40. The instrument used to measure the angle between two lines that meet at a point is known as a
A. pair of compasses
B. setsquare
C. protractor
D. pair of dividers
C. protractor
2016 BECE Mathematics (Maths) Past Questions Paper TWO
Mathematics?
English Language?
(b) Illustrate the information given in (a) on a Venn diagram.
(c) Using the Venn diagram, find the number of candidates who passed in
(i) both subjects;
(ii) Mathematics only.
(d) If are equal vectors, find the values of x and y
1. (a) (i) Number of candidates who passed in Mathematics
= 60% of 50 candidates
= 6 x 5
= 30
(ii) Number of candidates who passed in English Language
= 48% of 50 candidates
(b) Venn diagram
Let U = Total number of Candidates,
M = Number of candidates who passed in Mathematics and
E = Number of candidates who passed in English
b = Number of candidates who passed in both Mathematics and English
(c) (i) From the Venn diagram above,
30 – b + b + 24 – b = 50
⇒ 54 – b = 50
⇒ b = 4
Hence, 4 candidates passed in both subjects
(ii) Mathematics only = 30 – b
= 30 – 4
= 26
(d) If a = b, then
taking the horizontal component, 4 = 2x
⇒ x = 4 ÷ 2
⇒ x = 2
Now, taking the vertical component, – 5 = 3 + y
⇒ y = – 5 – 3
⇒ y = – 8
2. (a) The cost (P), in Ghana cedis, of producing n items is given by the formula,
. Find the:
cost of producing 2,000 items;
number of items that will be produced with GHC 2,400.00;
cost when no items are produced.
(b) A passenger travelling by air is allowed a maximum of 20 kg luggage.
A man has four bags weighing 3.5 kg, 15 kg, 2 kg and 1.5 kg.
Find the excess weight of his luggage
Express the excess weight as a percentage of the maximum weight allowed.
2. (a) (i)
(ii) Method 1 (Substitution and solving)
(ii) Method 2 (Making n the subject, substituting and simplifying)
(iii) When no items are produced, n = 0
(b) (i) Total weight of four bags = 3.5 + 15 + 2 + 1.5
= 22 kg
Hence, excess weight = 22 – 20
= 2 kg
(ii) Excess weight as a percentage of maximum weight allowed
=
= 2×5%
= 10%
3. (a) A doctor treated 2,000 patients over a period of time. If he worked for 5 hours a day and spent 15 minutes on each patient, how many days did the doctor spend to treat all the patients?
(b) The pie chart shows the distribution of textbooks to six classes A, B, C, D, E and F in a school.
(i) If Class D was given 720 textbooks, how many textbooks were distributed to each of the remaining classes?
(ii) What is the average number of textbooks distributed to the classes?
(iii) How many classes had less than the average number of textbooks distributed?
(a) If doctor works 5 hours a day and spends 15 minutes on each patient, then
Hence, he treats 20 patients each day
Hence, he treats 2000 patients in 100 days
NOTE: Alternatively the idea of ratio or simple proportion can be applied to solve the question.
(b) (i) If Class D (80°) → 720 textbooks
Then Class A (60°) → ? (less)
If less, then more (80°) divides
⇒
= 60 × 9 = 540 textbooks
Now, if number of textbooks of Class A (60°) = 60 × 9,
then, Class B (50°) = 50 × 9 = 450 textbooks
Class C (42°) = 42 × 9 = 378 textbooks
Class F (70°) = 70 × 9 = 630 textbooks
Now, angle for Class E = 360° – (70°+60°+50°+42°+80°)
= 360°– 302°
= 58°
Hence, Class E (58°) = 58 × 9 = 522 textbooks
(ii)
(iii) Number of classes which had less than average
= 3 (Classes B, C and E had less than 540 textbooks)
4. (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 –55≤x≤5 and5≤y≤5.
Plot, indicating the coordinates of all points P(1, 1), Q(1, 2), R(2, 2) and S(2, 1) on a graph sheet. Join the points to form square PQRS.
Draw and indicate clearly all coordinates, the image P1Q1R1S1 of square PQRS under an enlargement from the origin with a scale factor of 2, where P → P1, Q→Q1, R→R1 and S→S1.
Draw and indicate clearly all coordinates, the image P2Q2R2S2 of square P1Q1R1S1 under a reflection in the xaxis where P1→P2, Q1→Q2, R1→R2 and S1→S2
(b) Using the graph in 4(a), find the gradient of line R2S.
(a)
(b) Gradient of line R2S =
5. (a) Given that u = 4, t = 5, a = 10 and , find the value of s.
(b) The selling price of a gas cooker is GHC450.00. If a customer is allowed a discount of 20%, calculate the :
discount;
amount paid by the customer.
(c) A crate of minerals containing ten bottles of Coca Cola and fourteen bottles of Fanta was given to some children for a birthday party. If a child chose a drink at random from the crate, find the probability that it was Fanta.
(a)
(b) (i) Discount = 20% of GHC 450.00
=
= 2 × 45
Discount = GHC 90
(ii) Method 1
Amount paid = Original Selling Price – Discount
= 450 – 90
= 360
Method 2
Amount paid = 80% of GHC 450.00 [100% – 20% = 80%]
=
= 8 × 45
= 360
The amount paid by the customer = GHC 360.00
(c) Probability of randomly choosing Fanta =
6. (a) Using a ruler and a pair of compasses only, construct:
(i) triangle XYZ with XY = 9 cm, YZ = 12 cm and XZ = 8cm;
(ii) the perpendicular bisector of line XY;
(iii) the perpendicular bisector of line XZ.
(b) (i) Label the point of intersection of the two bisectors as T;
(ii) With point T as centre, draw a circle of radius 6 cm.
(c) Measure:
(i) TX
(ii) angle XYZ
6. (a), (b)
(c) (i) TX = 6 cm (± 0.1cm)
(ii) angle XYZ = 40° (± 1°)