Ghana BECE 2004 MATHEMATICS PAST QUESTIONS AND ANSWERS

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Ghana BECE 2004 MATHEMATICS

ANSWER BECE 2004 MATHEMATICS PAST QUESTIONS

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1) lf the set A = {1, 2, 3, 4, 5} and the set B = {2, 4, 6}, find the number of members in the set A⋃B.

A) 5

B) 8

C) 2

D) 6

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2) Simplify -35 -(-15) + (-30)

A) -50

B) 50

C) 30

D) 17

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3) How many faces has a cuboid?

A) 6

B) 3

C) 5

D) 4

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4) Evaluate 0.036/0.02.

A) 0.018

B) 0.18

C) 1.8

D) 18.0

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5) The angle formed by one complete revolution is equivalent to

A) one right angle.

B) three right angles.

C) two right angles.

D) four right angles.

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6) If the set P = {1, 2, 3, 4, 5} which of the following statements best describes P?

A) Set of counting numbers greater than 6

B) Set of counting numbers less than 6

C) Set of integers less than 6

D) Set of whole numbers up to 6

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7) Write 78910 correct to the nearest thousand.

A) 70,000

B) 79,000

C) 80,000

D) 78,000

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8) Which of the following numbers is the next prime number greater than 23?

A) 17

B) 24

C) 25

D) 29

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9) Simplify 2¹⁰x3²/3⁶x2⁸

A) 3⁴/2²

B) 2⁴/3⁴

C) 3³ x 2⁴

D) 2²/3⁴

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10) Which of the following inequalities is represented on the number line below?

A) -2 ≤ x < 3

B) -2 < x < 3

C) -2 < x ≤ 3

D) -2 ≤ x ≤ 3

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11) Factorize completely the expression 4xy – 16x + 10y – 40.

A) (4 – y)(10 – 4x)

B) (y – 4)(4x + 10)

C) (y + 4)(4x-10)

D) (y + 4)(4x + 10)

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12) What is the image of 2 in the mapping y → 2x + 5?

A) 7

B) 12

C) 24

D) 9

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13) Simplify 3a²b³ x 4a³b.

A) 7ab

B) 12a⁵b⁴

C) 12a⁴b⁴

D) 7a⁵b⁴

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14)

Find the solution set of 2x + 1 < 5 in the domain {-1, 0, 1, 2, 3}.

A) {0, 1, 2}

B) {-1, 0, 1}

C) {-1, 1, 3}

D) {-1, 1, 2}

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15) Find the highest common factor of 48, 60 and 96.

A) 12

B) 36

C) 24

D) 46

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16) P = {odd numbers between 20 and 30} and Q = {23, 29}. Which of the following is true?

A) Q⊂P

B) P=Q

C) P⊂Q

D) P∩Q=∲

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17) Find the rule for the following mapping:

A) y = 2x- 1

B) y = 2x + 1

C) y = x²- 1

D) y = x²+1

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18) If a = (2 4) and b = (-3 2), find 2a – b.

A) (7 6)

B) (1 10)

C) (7 10)

D) (1 6)

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19) Find the value of x in the polygon below

A) 36°

B) 12°

C) 72°

D) 60°

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20) An article costs ¢60,000.00. The price was increased by 10%. Find the new price.

A) ¢61,000.00

B) ¢70,000.00

C) ¢66,000,00

D) ¢54,000.00

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21) Solve for x in the equation 15 – 2x = 6

A) 10.5

B) 4.5

C) -45

D) -10.5

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22) The population of Ghana was 5,000,000 in 1957. The population in 1998 was estimated to be 17,000,000. Find the percentage increase in population from 1957 to 1998.

A) 2400%

B) 24%

C) 240%

D) 2.4%

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23) The angles of a triangle are in the ratio 3 : 2 : 1. Find the value of the smallest angle.

A) 45°

B) 90°

C) 30°

D) 60°

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24) Find the least Common Multiple (LCM) of 4, 6 and 10.

A) 30

B) 10

C) 24

D) 60

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25) Convert 134five to base ten numeral.

A) 44

B) 40

C) 220

D) 16

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26) A circle has radius 7 cm; find its area. (Take π = 22/7).

A) 22cm²

B) 145cm²

C) 154cm²

D) 44cm²

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27) Simplify ½ – ⅔ + ¾

A) 11/12

B) 2/12

C) 7/12

D) 5/12

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28) Solve for x, if ½x – 4x > 20.

A) x<-13⅓

B) x>13⅓

C) x>5⁵∕₇

D) x<-5⁵∕₇

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29) Which of the following is equivalent to 2² x 6³?

A) 2⁶x3³

B) 2³x3³

C) 2⁴x3

D) 2⁵x3³

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30) The volume of water in a rectangular tank is 30 cm³. The length of the tank is 5cm and its breadth is 2cm. Calculate the depth of water in the tank.

A) 5.0cm

B) 6.0 cm

C) 4.0cm

D) 3.0cm

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31)

The following temperatures in °C were recorded in 7 cities in Europe; -4, 5, 2, 0, -6, -4, 7.
Find the modal temperature.

A) – 4°C

B) -6°C

C) -2°C

D) 0°C

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32) The ratio of the ages of two sisters is 4: 3. The elder sister is 3 years older than the younger one. How old is the younger sister?

A) 18 years

B) 12 years

C) 9 years

D) 15 years

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33) If n²+ 4 = 40, find n.

A) 6

B) 22

C) 44

D) 12

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34) An angle which is more than 90° but less than 180° is

A) a reflex angle

B) a right angle

C) an acute angle

D) an obtuse angle

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35) Arrange the following fractions in ascending order; 4¼, 4½, 4⅓

A) 4¼, 4⅓, 4½

B) 4⅓, 4½, 4¼

C) 4¼, 4½, 4⅓

D) 4½, 4⅓, 4¼

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36) Price of items in a shop were reduced by 10% during a reduction sale. If a customer bought an electric fan for ¢81,000.00, what was its original price?

A) ¢90,000.00

B) ¢72,900.00

C) ¢73,900.00

D) ¢89,100.00

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37) The marks scored by 8 pupils in a science test are: 3, 7, 8, 6, 4, 8, 4, 6

What is the median mark?

A) 6

B) 8

C) 7

D) 5

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38) The marks scored by 8 pupils in a science test are: 3, 7, 8, 6, 4, 8, 4, 6

What is the probability that a pupil chosen at random scored 4 marks?

A) ²∕₄₇

B) ½

C) ¼

D) ⅛

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39) If y = k + ax², find y when k = 14/5 a = 4/5 and x = 2.

A) 30

B) 7⅗

C) 6

D) 4

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40) Which of the following dimensions of a triangle form the sides of a right angle triangle?

A) 3 cm, 4 cm, 6 cm

B) 5 cm, 13 cm, 17 cm

C) 3 cm, 5 cm, 7 cm

D) 5 cm, 12 cm, 13 cm

Your score is

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Ghana BECE 2004 MATHEMATICS PAST QUESTIONS AND ANSWERS

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