Sample 2010 B.E.C.E Questions (Mathematics)

Something is very clear about the  2010 B.E.C.E. Students who cannot think in the examination room would not perform very well. Sample questions that was received from W.A.E.C  shows that a lot of thinking would be required by students who wants to excel. Below is  sample mathematics questions for 2010 B.E.C.E

1.  How many subsets has the set P = ( –1, 0, 2)?

     A.   8       B.     6        C.     4         D.   3

2.  A man spends 1/3 of his salary on his salary on his children’s education and 2/5 of the remainder on accommodation. What fraction of the salary is left?    A.   5/9    B.    1/8     C.  2/5    D.    3/5

3.   Evaluate a/b, if a = 1/2  and  b = 1/4.

      A.  4            B.   3         C.     2         D.   1

4.  Nana Yaa receives 20% commission in her weekly sales. In a week if she receives GH800.00 as a commission, calculate her total sales for the week.     A.   GH1,200.00       B.   GH2,400.00          C.    GH3,200.00       D.     GH4,000.00

5.   A basket contains 15 oranges and 25 mangoes. What is the probability of selecting a mango from the basket?

     A.  1/15              B.    1/25                C.     3/8            D.    5/8

6.   Multiply 0.0012  x  0.02 leaving the answer in standard form                                                         

     A.  2.4 x  10^5      B.    2.4  x  10^4     C.   2.4  x  10^-4     D.   2.4  x  10^-5

7.    Write the bearing S40oE as a three figure bearing     

       A.   140o           B.    040o            C.   220o           D.   320o

8.   If vector b =    ( 2 )   and  2a – b = ( 6  ),  find the vector a

                             ( 3  )                       ( 7 )

     A.   4                 B.      4                  C.         -4               D.         8

           5                          4                               5                            10

9.   What is the next term of the sequence    1,  2,  3, 5, 8  …….?

      A.   10           B.      11             C.   12               D.   13

10.    The scale of a map is 1: 10000.  The distance between two points on the map is 4cm. What is the actual distance between the points?

         A.   4m          B.    40m         C.    400m        D.         4000m

11. Evaluate A. 0.259 B. 2.590 C. 25, 900 D. 259,000

12. Express 1.25 as a mixed fraction in its lowest term A. B. C. D.

13. The total number of match sticks in 6 match boxes was 270. Find the total number of sticks in 20 similar boxes.
     A. 710 B. 800 C. 810 D. 900

14. A car travels at an average speed of 45 km per hour. What distance does it cover in 12 hours.

     A. 450km B. 480km C. 500km D. 450km

15. Calculate the simple interest on GH130,000.00 for 2 1/2years at 12% per annum. A. GH78,000.00 B. GH39,000.00 C. GH36,000.00 D. GH31,200.00

16. Express 2/5 as a percentage A. 20% B. 25% C. 40% D. 80%

17. Kwame gets a commission of 20% on bread sold. In one week, Kwame’s commission was GH45.000.00. How much bread did he sell during that week? A. GH205,000.00 B. GH220,000.00 C. GH225.000.00 D. GH235,000.00

18.   Write 83000 in standard form.

        A. 8.3 x 10^-4 B. 8.3×10^-3 C. 8.3 x 10³ D. 8.3xl0⁴

Use the information to answer questions 19 and 20

The following are the marks obtained by pupils in a test: 2, 3, 5, 2, 3, 4, 2, 3, 5, 3.

19.   What is the mode? A. 2 B. 3 C. 4 D. 5

20.  Calculate the mean. A. 3.0 B. 3.2 C. 4.0 D. 4.2

SECTION  B

1a.     Of the 53 pupils of Kofikrom Junior High School, 36 take tea, 18 take coffee and 10 take neither tea nor coffee.

           i.    Draw a Venn diagram to illustrate this information

          ii.   Using your diagram, determine the number that takes both tea and coffee.

           b.   Three church bells toll at intervals of 5, 12 and 15 minutes respectively. If they toll together at 12.00noon on a given day, when next will they toll together?

           c.   Copy and complete the magic square below so that the sum along the rows, columns and diagonal are the same equal to 15

4
	5	7

2a        Find the area of the shaded portion

b. Simplify and leave your answer in standard form

c.  The ratio of the sheep to goats on a farm is 4: 7. If there are 1,428 sheep, find how many goats are on the farm.

3a  

The table below shows the scores of some students in an examination

From the table, find:

i. How many students wrote the examination

ii. The modal score

iii. The number of students who scored 7 or more

iv. The mean score correct to one decimal place.

4a         Using a ruler and of compasses only, construct a triangle ABC and /AB/= 6cm, /AC/= 8cm and angle BAC= 30^o. Construct the bisector of angle ACB to meet the line AB at D.

i. Measure /AD/ and /BD/ ii. Write down the ratio /AD/ : /BD/

b. A rectangular water tank has length 80cm, width 40cm and height 50cm. Find,

i. Find the total surface area of the tank when closed

ii. The volume of the tank

iii. The height of the water in the tank, if the tank contains 80,000cm³ of water.

b.      Solve 3x – 9 12(x – 3) and Illustrate your answer on a number line

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