Ghana BECE 2010 MATHEMATICS PAST QUESTIONS AND ANSWERS

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Ghana BECE 2010 MATHEMATICS

ANSWER BECE 2010 MATHEMATICS PAST QUESTIONS

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1) Which of the following sets is well defined?

A) {Man, Kofi, Red, 14}

B) {Seth, Mary, Jacob, Evelyn}

C) {Ink, Mango, Green, Nail}

D) {Car, Road, Glass, Book}

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2) If set B is a subset of set A, then

A) some members of set B can be found in set A.

B) all the members of set B are in set A.

C) no member of set B is in set A.

D) sets A and B have the same number of elements.

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3) The least common multiple (L.C.M) of 16, 30 and 36 is

A) 720

B) 3

C) 240

D) 6

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4) The sum of 5 and x divided by 4 is equal to 3.25. Find the value of x.

A) 2¼

B) 7

C) -3⁴∕₁₃

D) 8

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5) The numbers 32, 33, 34, ….., ….., 42 form a sequence in base 5. Find the missing numbers.

A) 40, 41

B) 35, 36

C) 31, 41

D) 30, 31

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6) Write down all the integers in the set A= {-10, -4, 0, ¼, 2½, 45, 100}

A) {¼, 2½}

B) {-10, – 4}

C) {-10, – 4, 0, 45, 100}

D) {0, 45, 100}

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7) Find the total cost of 25 pens and 75 books if each pen costs GH¢0.20 and each book costs GH¢0.30.

A) GH¢22.50

B) GH¢27.50

C) GH¢50.00

D) GH¢23.50

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8) Simplify: -27 + 18 – (10 – 14) – (-2)

A) -3

B) -11

C) -7

D) -35

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9) Arrange the following numbers from the lowest to the highest: 0.5, 3, -5, 0.

A) 0, 0.5, -5, 3

B) 0, -5, 0.5, 3

C) -5, 0.5, 0, 3

D) -5, 0, 0.5, 3

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10) Find how many pieces of cloth 5 ½m long that can be cut from a roll of cloth 121 m long.

A) 22

B) 66

C) 115½

D) 665½

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11) Find the value of 124.3 + 0.275 + 74.06, correcting your answer to one decimal place.

A) 892.0

B) 198.7

C) 892.4

D) 198.6

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12) Esi and Kwasi are 12 and 8 years old respectively. They share 60 mangoes in the ratio of their ages. How many mangoes does Esi get?

A) 40

B) 36

C) 18

D) 42

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13) It takes 6 students 1 hour to sweep their school compound. How long will it take 15 students to sweep the same compound?

A) 24 minutes

B) 12 minutes

C) 3 hours

D) 2 hours

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14) A housing agent makes a commission of GH¢103,500 when he sells a house for GH¢690,000. Calculate the percentage of his commission.

A) 15.0%

B) 10.0%

C) 5.0%

D) 7.5%

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15) A simple interest of GH¢37,500.00 is earned on an amount of GH¢500,000.00 for 3 years. Find the rate of interest per annum.

A) 2.5%

B) 10.0%

C) 20.0%

D) 5.0%

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16) Simplify: (8x² y³)(⅜xy⁴)

A) 3xy

B) 3x³y⁴

C) 3x²y⁷

D) 3x³y⁷

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17) The scores of 10 students in an examination are given as follows: 45, 12, 75, 81, 54, 51, 24, 67, 19 and 39. What is the median of the scores?

A) 48

B) 39

C) 54

D) 51

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18)

What will be the value of the angle of the sector for maize?

A) 61.2°

B) 72.0°

C) 126.0°

D) 100.8°

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19) Eighteen cards are numbered from 11 to 29. If one card is chosen at random, what is the probability that it contains the digit 2?

A) ⁷∕₁₈

B) ⁵∕₉

C) ³∕₉

D) ¹¹∕₁₉

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20) Find the value of x, if x/4 + 1 = 5.

A) 24

B) 19

C) 16

D) 20

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21) Factorize: xy + 5x + 2y + 10.

A) (x + 2)(y + 10)

B) (x + 2)(y + 5)

C) (x + 5)(y + 2)

D) (x + 5)(2y + 10)

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22)

If x = {2, 3, 4, 5}, find the truth set of 2x + 1 < 8.

A) {3, 4}

B) {2, 3, 4}

C) {4, 5}

D) {2, 3}

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23) Solve the inequality: 7x -(10x+ 3) ≥ -9

A) x≥4

B) x≤4

C) x≤2

D) x≥2

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24) Find the rule of the mapping:

A) x → 4x + 3

B) x → 4x + 5

C) x → 4x – 3

D) x → 3 – 4x

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25) Find the circumference of a circle whose area is equal to 64π cm²·

A) 4π cm

B) 32π cm

C) 16π cm

D) 8π cm

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26) Which of the following geometric figures is the plane shape of a cube?

A) Triangle

B) Square

C) Circle

D) Rectangle

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27) How many lines of symmetry has a rectangle?

A) 2

B) 3

C) 1

D) 4

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28) A rectangular box has length 20 cm, width 6cm and height 4 cm. Find how many cubes of size 2 cm that will fit into the box.

A) 60

B) 15

C) 30

D) 120

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29) The interior angle of a regular polygon is 120°. How many sides has this polygon?

A) 6

B) 5

C) 4

D) 3

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30) In the diagram above, length of PS = length of SQ and angle SQR = 112°. Find the value of x.

A) 68°

B) 44°

C) 56°

D) 46°

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31)

Which of the following equations gives the value of z²?

A) z²=(x²+y²)

B) z²=(x-y)

C) z²=(y²-x²)

D) z²=(x²-y²)

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32) Express 7mins 30 sec. as a percentage of 1 hour.

A) 11.7%

B) 2.5%

C) 7.5%

D) 12.5%

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33) The point ( 4, 5) is translated to the point (3, 1). What is the translation vector?

A) (-1 -4)

B) (1 4)

C) (-1 4)

D) (1 -4)

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34)

Which of the side QRT corresponds to side QT of triangle QST ?

A) QR

B) TR

C) SR

D) TS

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35)

In the diagrams above Fig. I is an enlargement of Fig. II. Find the side EF of Fig.II.

A) 5cm

B) 20cm

C) 4cm

D) 3cm

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36) Express 4037 in standard form.

A) 4.037 x 10⁴

B) 4.037 x 10-⁴

C) 4.037 x 10³

D) 4.037 x 10-³

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37) Which of the following angles can be constructed by using the arcs at points C in the diagram below?

A) 60°

B) 45°

C) 75°

D) 30°

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38) Given that vector a = (-5 12) and b = (10x 12) find the value of x if a = b.

A) 2

B) -½

C) -2

D) ½

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39)

In the diagram above, the bearing of point B from A is

A) 50°

B) 140°

C) 220°

D) 340°

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40) Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama

A) 3: 2

B) 1: 3

C) 2: 1

D) 2: 3

Your score is

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Ghana BECE 2010 MATHEMATICS PAST QUESTIONS AND ANSWERS

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