BECE 2006 Mathematics (Maths) Paper 1 Objectives - The Thesis

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BECE 2006 Mathematics (Maths) Paper 1 Objectives

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BECE PAST QUESTIONS AND ANSWERS

BECE 2006

MATHEMATICS (MATHS)

OBJECTIVES (Paper 1)


1.    If Q = {1,3,5,7,9,11,13,15} and R = {1,2,3,5,6,7,10,11,12}, find Q ∩ R.
A.          {1,3,5,7,11}           
B.           {1,3,5,7,9,11}  
C.           {2,4,8,9,13,14}      
D.          {1, 2, 3, 5, 6, 7, 9, 10, 11, 12}

2.             If x is an integer, list the members of the set, {2 ≤ x < 10}
A.           {3,4,5,6,7,8,9}     
B.            {2,3,4,5,6,7,8,9}  
C.            {3,4,5,6,7,8,9,10}  
D.           {2,3,4,5,6,7,8,910}

fractions





4.             The number of boys in a school is 120. If the ratio of boys to girls is 5:7, find the total number of students in the school.
A)     240                B) 288             C) 600             D) 840

5.             Find the circumference of a circle with radius 3.5 cm. (Take π = 22/7)
A)     11 cm              B) 22 cm                    C) 35 cm                     D) 38.5 cm

6.             Which of the following are the prime factors of 12?
A)     {1, 3}             B. {2, 3}          C. {2, 4, 6, 12}      D. {2, 3, 4, 6}

7.             The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?
A)     x+7                            B) x+14                       C) 2x-7                        D) 2x+7

8.             Correct 0.003858 to three significant figures
A)     0.00385          B) 0.00386                 C) 0.0039                    D) 386

9.             Find the value of a – 3ab when a = -2 and b = 3
A)     -20                 B) -16              C) 16              D) 20

10.         A boy sold some oranges at three for ¢500.00. If his total sales was ¢100,000.00, how many oranges did he sell?
A)     300                            B) 400              C) 500            D) 600

11.         A train travels at a speed of 80km per hour. How long will it take to travel a distance of 320km?
A)     2 hours                                  B) 3 hours                               C) 4 hours       D) 5 hours

12.         Which of the following figures is a rhombus?    
                                

13.         Three children share an amount of ¢910,800.00 in the ratio 2:3:4. What will be the highest share?
A)                ¢202,400.00                               
B)                ¢303,600.00       
C)                ¢404,800.00                               
D)                ¢455,400.00

14.         The next term in the sequence    3, 6, 12, 24, …
A)     27                  B) 30              C) 36                          D) 48

15.         Express 350 as a product of prime factors 
A)     2 × 5 × 7        B) 2 × 52 × 7              C) 2 × 5 × 72            D) 22 × 5 × 7

16.         Express 962 in standard form.
A)            96.2 x 10                                
B)             9.62 x 102 
C)             0.962 x 103                 
D)            0.0962 x 104

             17.     

Which of the following inequalities is shown on the number line above, where  p {real numbers}
A)     -2 < p < 3          B) -2 ≥ p > 3            C) -2 < p ≤ 3              D) -2 > p ≥ 3

     

Linear equation question






A)  3                        B) 4               C) 5                                        D) 6

19.         Arrange the fractions   ¾ , 2/3, 4/5 in ascending order of magnitude.
A)          ¾, 2/3, 4/5                                        
B)          4/5, 2/3, ¾    
C)          4/5, ¾, 2/3                            
D)          2/3,3/4,4/5

20.         Express 87ten as a base five numeral.
A)  302five                         B) 322five         C) 3022five                   D) 3202five

21.         A bag contains 6 blue and 5 black balls. What is the probability of picking a black ball at random?
A)  1/11                               B) 1/5                                       C) 5/11                                      D) 6/11


22.         
Evaluation question


 A)  6           B) 9                C) 12               D) 18

The table below gives the ages of members of a juvenile club. 
Use it to answer Questions 23 and 24 
Age in years
8
9
10
11
Frequency
5
10
6
9

23.         How many people are in the club?
A)  15                    B) 20                           C) 30              D) 38
24.         What is the modal age of the members of the club?
A)  8 years             B) 9 years                    C) 10 years                              D) 11 years

25.         In an examination, 154 out of 175 candidates passed. What percentage failed?
A)  6%                    B) 12%           C) 13%            D) 18%

26.         Expand  (6 – x)(6 + y)
A)  36 – 6x + 6y – xy
B)          36 – 6x – 6y + xy
C)          36 – 6x – xy               
D)          36 + 6y – xy

27.         Find the highest common factor (HCF) of           20, 12 and 28.
A)  2                      B) 4                 C) 8                 D) 12

28.         If  F = 9/5 c +32 find F when C = 40.
A)  49                    B) 78.4            C) 104             D) 129.6

29.         Evaluate   2/3 (27 – 12) – 6.
A)  4                      B) 6                 C) 14              D) 16


             30.     
angles diagram
 
In the figure, PQR is a straight line. Angle TQP = , angle TQS = 102° and angle SQR = 2. Find the value of x

                          A) 78                   B) 39                    C) 34                    D) 26

31.          Factorize 22ab – 11ac + 6rb – 3rc.
A.          (2b – c) (11a + 3r) 
B.           (2b + c) (11a – 3r)
C.           (2b – c) (11a – 3r) 
D.          (2b + c) (11a + 3r)

32.          Find the sum of 124.3, 0.275 and 74.06. (Correct your answer to one decimal place)
A)  198.6                           B) 198.7              C) 892.0               D) 892.4

33.          Simplify  6p3 ×  p2  ÷  3p4
A)  2p                    B) 3p              C) 18p                                     D) 2p2

34.          Mr. Nkrumah saved ¢75,000.00 at a simple interest rate of 20% per annum for 3 years. Calculate the interest he earned on his savings
A)  ¢15,000.00      B) ¢30,000.00       C) ¢45,000.00               D) ¢60,000.00
                 


36.          What is the value of the digit 9 in the number 624.93?
A)  9 hundreds                   B) 9 tens           C) 9 units                   D) 9 tenths


37.          The marks obtained by 5 girls in a test are: 10, 15, 8, 18, 12. 
Find the median mark.
A)  10        B) 11              C) 12              D) 15
Vector question

                   39.    
Pythagoras theorem
In the diagram above, KGM is a right-angled triangle and angle GKM = 62°. Find the angle of elevation of K from M.
                          A) 28°                B) 62°                        C) 90°                          D) 118°

vector question

Answers and Solutions to BECE 2006 Maths Paper 1

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




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