BECE 2013 Mathematics (Maths) Paper 1 Objectives - The Thesis

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BECE 2013 Mathematics (Maths) Paper 1 Objectives

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   BECE Past Questions and Answers

BECE 2013

MATHEMATICS (Maths)

OBJECTIVES (Paper 1)


1.                  If A = {5, 10, 15, 20, 25, 125}and B = {5, 10, 15, 20, 25, 625}, list the elements of AB
A.                    {5, 25}
B.                    {10, 20, 125, 625}
C.                    {5, 15, 25, 125, 625}
D.                    {5, 10, 15, 20, 25, 125, 625}

2.                  Express 1.25 as a percentage
A.                    25%
B.                    75%
C.                    125%
D.                    175%

3.                  Arrange the following in ascending order of magnitude: 0.301, 0.3, 0.33, 0.03
A.                    0.03, 0.3, 0.301, 0.33
B.                    0.03, 0.301, 0.3, 0.33
C.                    0.33, 0.3, 0.301, 0.03
D.                    0.33, 0.301, 0.3, 0.03

4.                  Evaluate 53 – (–7) + (–15)
A.                    31
B.                    45
C.                    61 D.           75

5.                  Given that A = {a, e, i, o, u} and B = {r, s, t}, how many elements are in AB ?
A.                    0
B.                    1
C.                    2
D.                    3

6.                  Convert 2114five to a base ten numeral.
A.                    194
B.                    280
C.                    284
D.                    300
7.                  Simplify  22 x 32
                           42 x 33
A.                    1/12
B.                    1/6
C.                    ¼
D.                    1/3

8. A car uses 150 litres of petrol in 45 mins. How many litres of petrol will it use in 1 hour?
A. 375 litres
B. 230 litres
C. 225 litres
D. 200 litres
  
9.                  Simplify 36a3b2x
                              27ab3y
options
                    

10.              Find the rule of the mapping.
                             1          2           3          4          5          x
                                   ↓           ↓             ↓          ↓             ↓           ↓
                                   5          8          11        14        17         y
A.                    x + 2                                                                 
B.                    x + 4
C.                    2x + 3
D.                    3x + 2


11.              Given that –1 = 2 – m, find m
A.                    - 3
B.                    - 1
C.                    1
D.                    3

12.              The perimeter of a rectangle is 48 cm. if the length is 14 cm, find its width.
A.                    24 cm
B.                    20 cm
C.                    10 cm
D.                    3.4 cm

13.              Make d the subject of the relation n = 2d + 3

                                     
options



14.              Calculate the gradient of the straight line joining the points A(3,5) and B(–2,3)


options



diagram
15.              Find the angle marked a
A.                    70°
B.                    50°
C.                    40°
D.                    30°


16.              Find the angle marked b
A.                    150°
B.                    140°
C.                    110°
               D.        100°

17.              If S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, find the probability that a number selected at random from S is odd.

options

18.              Find the vector which translates the point (4, –5) to (3, –2)
                  
options
19.              Factorize completely the expression  2xy – 6y + 7x – 21
A.                    (x – 3) (2y + 7)
B.                    (x +3) (2y – 7)
C.                    (y – 3) (2x +7)
D.                    (y + 3) (2x – 7)

20.              The area of a circle is 154 cm2. Find the diameter.  (Take π = 22/7)
A.                    7 cm
B.                    14 cm
C.                    21 cm
D.                    49 cm


21.              Mame Esi rides her bicycle to school and back everyday. If the distance from her home to the school is 2345 m, how many kilometers does she cover everyday?
A.                    4.98 km
B.                    4.69 km
C.                    3.96 km
D.                    3.68 km

22.              The length of a rectangular fence is 25 m. The ratio of the length to the width is 5:3. Find the width of the rectangular fence.
A.                    9 m
B.                    13 m
C.                    15 m
D.                    16 m

Q23

24.              How many 15Gp Christmas cards can be bought with GHc18.00 ?
A.                    120
B.                    150
C.                    180
D.                    270



Q25
        

26.            If 49 56 × 25 = 123,900, evaluate 495.6 × 2.5 leaving the answer in standard form
A.                    1.239 × 102
B.                    1.239 × 103                 
C.                    1.239 × 104
             D.             1.239 × 105

27.              Which of the following expressions is illustrated on the number line?
                                                          
                                                                    
Number line diagram


A.                    x ≤ –2
B.                    x < –2
C.                    x ≥ –2
D.                    x > –2

28.              If 180 oranges were shared among Kwame and Ama in the ratio 7:5, respectively, how many oranges did Ama receive?
A.                    45
B.                    60
C.                    75
                                 D.         90

29.              Calculate the simple interest on GHc450.00 for 2 years at 12% per annum.
A.                    GHc 191.00
B.                    GHc 108.00
C.                    GHc 54.00
D.                    GHc 27.00

30.              If 15 % of the length of a rope is 75 cm, find half of the length of the rope.
A.                    500 cm
B.                    250 cm
C.                    150 cm
D.                    100 cm


32.                
                    

Which of the following best describes the construction?
A. Constructing a perpendicular at P
B. Constructing the bisector of line PQ
C. Constructing an angle of 30° at P
D. Constructing an angle of 45° at P

Q33

The table below shows the distribution of workers in some trades.



Trade
Shoe making

Mining
Road
transport

Agriculture
Manufacturing goods
Number of workers
         300,000
           25,000
         160,000
          225,000
              165,000

Use this information to answer Questions 34 and 35


34.            Whi ch trade employed the most number of workers?            
A.                   Agriculture
B.                    Manufacturing goods
C.                    Shoe making
D.                   Road transport

35.              How many people are employed under all the trades?
A.                   325,000
B.                    485,000
C.                    650,000
D.                   875,000 
36.              Aba bought a carton of fish at GHC 80.00 and sold it at a profit of GHC 13.60. Find the selling price.
A.                   GHC 66.40
B.                    GHC 93.60
C.                    GHC 103.60
D.                   GHC 144.00



     
37.             

Diagram for Q37



If the two figures ABCD and PQRS are similar, find the value of b.

A.                60 cm
B.                 40 cm
C.                 33 cm
D.                30 cm


38.              A man shared an amount of money between his two children, Esi and Ato in the ratio 2:3 respectively. If Ato received GHc 45.00, what was the total amount shared?
A.                GHc 18.00
B.                 GHc 27.50
C.                 GHc 75.00
D.                GHc 112.50

39.              How many edges has a cuboid?
A.                16
B.                 12
C.                 8
D.                4

40.              Two sets whose intersection is an empty set are
A.                disjoint sets
B.                 equivalent sets
C.                 finite sets
           D.             empty sets

Answers and Solutions to BECE 2013 Maths Paper 1 

 Find in the video below the solutions and answers to this past question.



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