Solve BECE Mathematics Questions & Answers

1. [1]

BECE mock · Mathematics

Which line is a line of symmetry for the design below?

2. [1]

BECE mock · Mathematics

If Dan earns GH¢ 8.50 per hour, find the least period he must work to earn more than GH¢ 408.00

3. [1]

BECE mock · Mathematics

Two tables and three chairs together cost GH¢2000 whereas three tables and two chairs together cost GH¢ 2,500. What is the unit cost of a table?

4. [1]

BECE mock · Mathematics

Two tables and three chairs together cost GH¢2000 whereas three tables and two chairs together cost GH¢ 2,500. Each chair costs

5. [1]

BECE mock · Mathematics

The study of Chinese or Dutch or both by a group of 50 students is shown in the Venn diagram below. Every student studies at least one of the two languages. The number of students studying Dutch is 8 more than the number of students studying Chinese. [image in question] How many students study Chinese but not Dutch?

6. [1]

BECE mock · Mathematics

The study of Chinese or Dutch or both by a group of 50 students is shown in the Venn diagram below. Every student studies at least one of the two languages. The number of students studying Dutch is 8 more than the number of students studying Chinese. [image in question] How many students study Dutch but not Chinese?

7. [1]

BECE mock · Mathematics

Express \(0.0043216\) in standard form.

8. [1]

BECE mock · Mathematics

Find the missing numbers in the sequence \(9800750, 9800200, 9799650, \_\_\_, 9798550\).

9. [1]

BECE mock · Mathematics

The numbers of hours worked per week by 400 workers are shown in the table below. What percentage of them worked 19 hours or less?

10. [1]

BECE mock · Mathematics

Simplify \(2\sqrt{18} - 3\sqrt{72} + 3\sqrt{50}\), leaving your answer as a surd.

11. [1]

BECE mock · Mathematics

The graph below shows the first 150 minutes of the distance covered by a cyclist away from home. [image in question] How far did she travel in the first 150 minutes?

12. [1]

BECE mock · Mathematics

The graph below shows the first 150 minutes of the distance covered by a cyclist away from home. [image in question] For how long was she stationary?

13. [1]

BECE mock · Mathematics

Evaluate \(0.25 \times 0.006\) correct to three decimal places.

14. [1]

BECE mock · Mathematics

The table below shows the number of pencils and the corresponding number of erasers needed in your class cupboard. What is the rule that relates the number of pencils to the number of erasers?

15. [1]

BECE mock · Mathematics

There are \(p\) counters in a bag. 12 of the counters are yellow. Hafiz takes at random 30 counters from the bag. 5 of these counters are yellow. Estimate the value of \(p\).

16. [1]

BECE mock · Mathematics

Which of the following fractions is equivalent to \(40\%\)?

17. [1]

BECE mock · Mathematics

I gave a storekeeper a GH¢10.00 note for goods I bought. He asked me for another 15Gp for ease of change. If he then gave 50Gp, how much did I pay for the goods?

18. [1]

BECE mock · Mathematics

If \(n^2 + 1 = 50\), find \(n\)

19. [1]

BECE mock · Mathematics

Divide \(64.5\) by \(0.015\), leaving the answer in Standard form.

20. [1]

BECE mock · Mathematics

Simplify \(\frac{2(u-v)(2u+3v)}{4u+6v}\)

21. [1]

BECE mock · Mathematics

Simplify \(3( 5a^2 + 2c) - 2a( 1 - 3a) - 6c\)

22. [1]

BECE mock · Mathematics

Factorize: \(kx + 2xt - 4k - 8t\)

23. [1]

BECE mock · Mathematics

Each side of the honeycomb below has all sides equal. Find the value of the angle marked \(x\).

24. [1]

BECE mock · Mathematics

If \(y = \frac{x+8}{x-4}\) find the value of \(y\) when \(x = 2\)

25. [1]

BECE mock · Mathematics

Use the map of a town below to answer questions 25 and 26. Which place is exactly North-West of the Station?

26. [1]

BECE mock · Mathematics

Use the map of a town below to answer questions 25 and 26. Find the bearing of the Monument from the Park.

27. [1]

BECE mock · Mathematics

Find the angles marked \(a\) and \(b\) in the figure below.

28. [1]

BECE mock · Mathematics

The volume of water in a rectangular tank is \(30cm^3\). The length of the tank is \(5cm\) and its breadth is \(2cm\). Calculate the depth of water in the tank.

29. [1]

BECE mock · Mathematics

Which of the following best describes the construction below?

30. [1]

BECE mock · Mathematics

What is the rule for the mapping below?

31. [1]

BECE mock · Mathematics

A ribbon is 3 meters and 25 centimeters long. If you need 75-centimeter pieces for decorations, how many pieces can you cut from the ribbon?

32. [1]

BECE mock · Mathematics

There are twice as many blue as yellow and four times as many green as blue cubes in a bag. Calculate the probability that a cube taken at random is yellow.

33. [1]

BECE mock · Mathematics

The bar chart below shows how many cars were sold by a salesman over a period of time. Find the mean number of cars sold per day.

34. [1]

BECE mock · Mathematics

In the triangle XZY, angle XZY = \(90^\circ\) \(|XY| = 13cm\) and \(|YX| = 5cm\). What is the length \(XZ\)?

35. [1]

BECE mock · Mathematics

Three of the angles of an irregular polygon are \(118^\circ\), \(112^\circ\) and \(98^\circ\). If the remaining two angles are equal, what is the size of the equal angles of the polygon?

36. [1]

BECE mock · Mathematics

Joe’s route from home to school is shown in the figure below. What distance does Joe save if he takes road A instead of the other two?

37. [1]

BECE mock · Mathematics

Eighty-seven people are divided into three groups. One group has 6 more than the smallest group, and another has 12 more than the smallest group. How many people are in the smallest group?

38. [1]

BECE mock · Mathematics

If \(a = \begin{pmatrix}2\\1\end{pmatrix}\), \(b = \begin{pmatrix}4\\-1\end{pmatrix}\), \(c = \begin{pmatrix}-2\\-4\end{pmatrix}\), find \(3a + 2b - 5c\)

39. [1]

BECE mock · Mathematics

A student scored 58, 60, 55, 72 and \(y\) respectively in five subjects in an examination. If the average mark for the five papers was 68, what was her score in the fifth paper?

40. [1]

BECE mock · Mathematics

The distance travelled by a cyclist every \(t\) hours is given in kilometers as shown in the table below. Find the value of \(y\)

41. [5]

BECE mock · Mathematics

A, B, C and D are vertices of parallelogram ABCD. If the coordinates of A, B and C are A \( (1, 2) \), B \( (3, -1) \) and C \( (-1, -1) \), find the coordinates of D;

42. [5]

BECE mock · Mathematics

A, B, C and D are vertices of parallelogram ABCD. If the coordinates of A, B and C are A \( (1, 2) \), B \( (3, -1) \) and C \( (-1, -1) \), find \(\overrightarrow{AC}\).

43. [5]

BECE mock · Mathematics

Find the value of \(x\) in the diagram below.

44. [5]

BECE mock · Mathematics

Simplify \(\left(\frac{3}{5} + 1\frac{1}{2}\right) \div \frac{1}{4} \times 3\frac{1}{3}\).

45. [5]

BECE mock · Mathematics

For the formula \(t=\frac{a-m}{1+am}\), make \(m\) the subject.

46. [5]

BECE mock · Mathematics

For the formula \(t=\frac{a-m}{1+am}\), if \(t=8\) and \(a=3\), in 1(c)(i) above, find the value of \(m\).

47. [5]

BECE mock · Mathematics

Given that \(\sqrt{2}=1.4142\), find the value of \(\sqrt{32}\), correct to 3 significant figures.

48. [5]

BECE mock · Mathematics

Simplify the surd: \(\sqrt{18}-\frac{2}{\sqrt{2}}\).

49. [5]

BECE mock · Mathematics

Kuma cultivated \(1.235\) acres of land more than Anokye and Hamidu also cultivated \(0.537\) acres more than Kuma. If the total acres of land cultivated by the three is \(19.057\), find and correct to 1 decimal place, the acres of land cultivated by Anokye;

50. [5]

BECE mock · Mathematics

Kuma cultivated \(1.235\) acres of land more than Anokye and Hamidu also cultivated \(0.537\) acres more than Kuma. If the total acres of land cultivated by the three is \(19.057\), find and correct to 1 decimal place, the acres of land cultivated by Hamidu.

51. [5]

BECE mock · Mathematics

Given that \(r=\begin{pmatrix}4a\\3\end{pmatrix}\), \(q=\begin{pmatrix}5\\-4\end{pmatrix}\) and \(r\cdot q=-2\), find the value of \(a\).

52. [5]

BECE mock · Mathematics

Factorize completely \(4mn+4m-n-1\).

53. [5]

BECE mock · Mathematics

If the price of a calculator which is GH¢ \(150.00\) depreciates by \(4\%\) annually, find the new price after 1 year.

54. [5]

BECE mock · Mathematics

If \(g=\frac{5r+4}{4r-2}\), find the value of \(g\) if \(r=4\).

55. [5]

BECE mock · Mathematics

If \(g=\frac{5r+4}{4r-2}\), find the value of \(r\) if \(g=4\).

56. [5]

BECE mock · Mathematics

Rationalize \(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{10}}\).

57. [10]

BECE mock · Mathematics

Using a scale of \(2\text{ cm}\) to \(1\) unit on both axes, draw two perpendicular lines OX and OY on a graph sheet. Mark the x-axis from \(-5\) to \(5\) and the y-axis from \(-6\) to \(6\). On the same graph sheet, plot indicating all the coordinates of all the vertices: rectangle \(PQRS\) with \(P(1,1)\), \(Q(5,1)\), \(R(5,3)\) and \(S(1,3)\). Find the image \(P_1Q_1R_1S_1\) of rectangle \(PQRS\) under a \(180^\circ\) rotation about the origin, where \(P \to P_1\), \(Q \to Q_1\), \(R \to R_1\) and \(S \to S_1\).

58. [10]

BECE mock · Mathematics

Using a scale of \(2\text{ cm}\) to \(1\) unit on both axes, draw two perpendicular lines OX and OY on a graph sheet. Mark the x-axis from \(-5\) to \(5\) and the y-axis from \(-6\) to \(6\). On the same graph sheet, plot indicating all the coordinates of all the vertices: rectangle \(PQRS\) with \(P(1,1)\), \(Q(5,1)\), \(R(5,3)\) and \(S(1,3)\). Find the image \(P_2Q_2R_2S_2\) of rectangle \(PQRS\) using the x-axis as a mirror line, where \(P \to P_2\), \(Q \to Q_2\), \(R \to R_2\) and \(S \to S_2\).

59. [10]

BECE mock · Mathematics

Using a scale of \(2\text{ cm}\) to \(1\) unit on both axes, draw two perpendicular lines OX and OY on a graph sheet. Mark the x-axis from \(-5\) to \(5\) and the y-axis from \(-6\) to \(6\). On the same graph sheet, plot indicating all the coordinates of all the vertices: rectangle \(PQRS\) with \(P(1,1)\), \(Q(5,1)\), \(R(5,3)\) and \(S(1,3)\). Find the image \(P_3Q_3R_3S_3\) of rectangle \(PQRS\) using the y-axis as a mirror line, where \(P \to P_3\), \(Q \to Q_3\), \(R \to R_3\) and \(S \to S_3\).

60. [5]

BECE mock · Mathematics

Find the sum of \(2.48\), \(3.65\), \(701.532\) and \(102.7\) leaving your answer to one decimal place.

61. [10]

BECE mock · Mathematics

Find an expression for the perimeter of the figure below.

62. [5]

BECE mock · Mathematics

A coconut vendor sells \(120\) pieces of coconuts a day. If he works \(6\) days in a week, find the total number of coconuts he can sell in \(40\) weeks, expressing the answer in standard form.

63. [5]

BECE mock · Mathematics

Find \(0.00182 \div 0.00013\), leave the answer in standard form.

64. [10]

BECE mock · Mathematics

Towns A, K and P are to build a common clinic. The distance from town A to town P is \(16\text{ km}\), from town P to town K is \(18\text{ km}\) and town A to town K is \(20\text{ km}\). Using a pair of compasses and a ruler only, construct a triangle of the three towns, using a scale of \(2\text{ km}=1\text{ cm}\). Mark a point in the triangle to show where the clinic could be built.

65. [5]

BECE mock · Mathematics

In a survey of 50 students, it was found that 30 students like playing basketball and 25 students like playing football. i. If 12 students like both basketball and football, represent the given information on a Venn diagram. ii. If 12 students like both basketball and football, how many students like only football? iii. If 12 students like both basketball and football, how many students like neither basketball nor football? iv. If 12 students like both basketball and football, how many students like only basketball?

66. [5]

BECE mock · Mathematics

In a survey of 50 students, it was found that 30 students like playing basketball and 25 students like playing football. i. If 12 students like both basketball and football, represent the given information on a Venn diagram. ii. If 12 students like both basketball and football, how many students like only football? iii. If 12 students like both basketball and football, how many students like neither basketball nor football? iv. If 12 students like both basketball and football, how many students like only basketball?

67. [5]

BECE mock · Mathematics

In a survey of 50 students, it was found that 30 students like playing basketball and 25 students like playing football. i. If 12 students like both basketball and football, represent the given information on a Venn diagram. ii. If 12 students like both basketball and football, how many students like only football? iii. If 12 students like both basketball and football, how many students like neither basketball nor football? iv. If 12 students like both basketball and football, how many students like only basketball?

68. [5]

BECE mock · Mathematics

In a survey of 50 students, it was found that 30 students like playing basketball and 25 students like playing football. i. If 12 students like both basketball and football, represent the given information on a Venn diagram. ii. If 12 students like both basketball and football, how many students like only football? iii. If 12 students like both basketball and football, how many students like neither basketball nor football? iv. If 12 students like both basketball and football, how many students like only basketball?

69. [5]

BECE mock · Mathematics

Simplify \(\sqrt{6\frac{2}{3} \div \left(3\frac{4}{15}-1\frac{3}{5}\right)}\).

70. [20]

BECE mock · Mathematics

The data below shows the number of minutes spent by some patients at a certain hospital on a given day: The grouped classes are 31–35, 36–40, 41–45, 46–50, 51–55, 56–60. Copy and complete the frequency distribution table below for the data above; draw a histogram for the data; use the histogram to find the modal minutes; and find the median class.

71. [5]

BECE mock · Mathematics

Given that \(5^{y+1}=\sqrt{5}\), find the value of \(y\).

72. [5]

BECE mock · Mathematics

Find the mean of \(3y\), \(3y\), \(10y\), \(2y\), \(8y\), \(4y\).

73. [5]

BECE mock · Mathematics

Express the days in the month of January in seconds, leaving the answer in standard form.

74. [15]

BECE mock · Mathematics

The pie chart shows angles representing the number of candidates who applied for admission into four programmes at a Senior High School. The number of pupils who applied were \(1{,}080\). Find: (i) the angle \(x\) representing the vocational programme; (ii) the number of candidates who applied for Business Programme; (iii) correct to the nearest whole number, the percentage of the number of applicants who applied for General Programme.

75. [5]

BECE mock · Mathematics

Evaluate \(\left[1\frac{1}{2} \div \left(\frac{2}{3}\right) \div \left(5-\frac{3}{8}\right)\right]\).

76. [10]

BECE mock · Mathematics

Find the values of the variables \(x\) and \(y\) in the diagram below.

77. [5]

BECE mock · Mathematics

Factorize completely \(mp+np-mt-nt\).

78. [5]

BECE mock · Mathematics

Factorize completely \(2xy-8x+3y-12\).

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