BECE mock exam

Mathematics — Fast Printing Dec 205 Mathematics

56 questions to work through. Answer them here, or take the whole thing timed with an account.

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1. [1]

BECE mock · Mathematics

Re-write 4825.617 to two decimal places.
2. [1]

BECE mock · Mathematics

Express 0.15 as a fraction in its simplest form.
3. [1]

BECE mock · Mathematics

Twice the breadth of a rectangle is its length. What is the area of the rectangle if the length is 18 cm?
4. [1]

BECE mock · Mathematics

GH¢ 5,760.00 was shared among a group of boys and each boy had GH¢ 240.00. How many boys shared the money?
5. [1]

BECE mock · Mathematics

Evaluate 2x - 3y(y - x) given that x = -1 and y = -2.
6. [1]

BECE mock · Mathematics

Which equivalent ratio matches 6 : 9?
7. [1]

BECE mock · Mathematics

Amina is 13 years older than Yaw. At the end of year 2013, Yaw was 14 years old. How old is Amina at the end of year 2025?
8. [1]

BECE mock · Mathematics

Simplify 3√90 - √40.
9. [1]

BECE mock · Mathematics

Find the gradient of a straight line that joins the points with coordinates (6, -2) and (-4, 4).
10. [1]

BECE mock · Mathematics

A train covered a distance of 270 km in 45 minutes. Calculate the speed at which the train travelled in km/h.
11. [1]

BECE mock · Mathematics

Find the image of the point (8, -5) under a reflection in the line y = 0.
12. [1]

BECE mock · Mathematics

Factorize completely the expression 12mn + 6m - 2n² - n.
13. [1]

BECE mock · Mathematics

The truth set of (2/3)x - 1 ≤ (1/2) + 2x is given as
14. [1]

BECE mock · Mathematics

Use the mapping above to answer this question. What is the rule of the mapping?
Diagram for question 14
15. [1]

BECE mock · Mathematics

Use the mapping above to answer this question. Find the value that replaces K in the mapping.
Diagram for question 15
16. [1]

BECE mock · Mathematics

The sum of the internal angles of polygon is 2520°. How many sides has this polygon?
17. [1]

BECE mock · Mathematics

Expand and simplify 5(t + 1) - (t - 1).
18. [1]

BECE mock · Mathematics

If one pound is exchanged for GH¢ 18.00, how much pounds will be equivalent to GH¢ 6,300.00?
19. [1]

BECE mock · Mathematics

One of the sides of a trapezium is 15 mm. After an enlargement by a scale factor, the side reduced to 10 mm. Find the scale factor.
20. [1]

BECE mock · Mathematics

The mean of six numbers is 2.5. When one of the numbers was taken out, the mean dropped to 2.4. What is the value of the number taken out?
21. [1]

BECE mock · Mathematics

The components of a vector PQ is (-4, -3). What is the magnitude of vector PQ?
22. [1]

BECE mock · Mathematics

Write 9.678 as a number in three significant figures.
23. [1]

BECE mock · Mathematics

The marked price of a text book is GH¢ 150.00. How much does Cynthia pay for 3 of such books at a discount of 10%?
24. [1]

BECE mock · Mathematics

Find the Least Common Multiple of 40, 60 and 80.
25. [1]

BECE mock · Mathematics

15 boys weeded a plot of land in 4 days. How many boys can weed the plot in 6 days if they work at the same rate?
26. [1]

BECE mock · Mathematics

The bearing of Tepa from Ada is 105°. What is the bearing of Ada from Tepa?
27. [1]

BECE mock · Mathematics

Make Z the subject of the relation: m/t + g = 1/Z.
28. [1]

BECE mock · Mathematics

Three supplementary angles are 60°, 85° and w°. Find the value of w.
29. [1]

BECE mock · Mathematics

The side of a cube is 12 cm. Find in cubic centimetres the space enclosed by the cube.
30. [1]

BECE mock · Mathematics

Two set of lines have equal distance apart throughout their lengths. Such lines are said to be
31. [1]

BECE mock · Mathematics

Find m - 2n given that m = (4, -6) and n = (1/2, 3/2).
32. [1]

BECE mock · Mathematics

Arrange in ascending order of magnitude the following: 2/5, 1/3, 3/8.
33. [1]

BECE mock · Mathematics

What is the value of x if 2^(x-3) = 4^(x+1)?
34. [1]

BECE mock · Mathematics

Arafat invested GH¢ 6,000.00 at a rate of 2½% per annum for 8 months. Calculate the interest he received.
35. [1]

BECE mock · Mathematics

There are 15 blue pens, 10 red pens and 7 green pens in a bag. If a pen is picked at random from the bag, what is the probability of selecting a red pen?
36. [1]

BECE mock · Mathematics

Aku bought a dress for GH¢ 800.00 and sold it at a profit of 5%. How much did Aku sell the dress?
37. [1]

BECE mock · Mathematics

A machine generated some numbers in the following order: 23, 32, 41, 50, K and U. What is the sum of the numbers at K and U?
38. [1]

BECE mock · Mathematics

Evaluate 1(2/5) - (1/3 + 3/5).
39. [1]

BECE mock · Mathematics

If P = {even numbers between 2 and 14} and Q = {multiples of two which are greater than 2 but less than 14}. Use the information to answer questions 39 and 40. Find the elements of P ∩ Q.
40. [1]

BECE mock · Mathematics

If P = {even numbers between 2 and 14} and Q = {multiples of two which are greater than 2 but less than 14}. Use the information to answer questions 39 and 40. Sets P and Q are described as
41. [10]

BECE mock · Mathematics

Evaluate \(1\frac{1}{5} - \left(\frac{2}{3} + \frac{1}{5}\right) \div 2\frac{3}{5}\).
42. [10]

BECE mock · Mathematics

3800 people attended a music festival. The seats were in three categories. That is, GH¢ 400.00 each for VVIP seats, GH¢ 250.00 each for VIP seats and GH¢ 50.00 each for popular stand. If 600 people occupied the VVIP seats, and the number who occupied the popular stands are 3 times more than the number who occupied the VIP seats, calculate the total amount collected at the music festival.
43. [10]

BECE mock · Mathematics

Using a scale of 2 cm to 20 minutes on the horizontal axis and 2 cm to 10 km on the vertical axis, draw a distance-time graph for Mansa’s journey.
44. [5]

BECE mock · Mathematics

Mansa rode a bicycle at a constant speed from her home for 1 hour before getting to a town, called Pato. At Pato, Mansa rested for 30 minutes after which she continued the journey to Kpatu using 1 hour 20 minutes at a constant speed. Mansa’s home to Pato and Kpatu are 30 km and 80 km respectively. How far did Mansa travel from Pato to Kpatu?
45. [5]

BECE mock · Mathematics

Mansa rode a bicycle at a constant speed from her home for 1 hour before getting to a town, called Pato. At Pato, Mansa rested for 30 minutes after which she continued the journey to Kpatu using 1 hour 20 minutes at a constant speed. Mansa’s home to Pato and Kpatu are 30 km and 80 km respectively. Find the total time spent to travel from home to Kpatu.
46. [10]

BECE mock · Mathematics

Mansa rode a bicycle at a constant speed from her home for 1 hour before getting to a town, called Pato. At Pato, Mansa rested for 30 minutes after which she continued the journey to Kpatu using 1 hour 20 minutes at a constant speed. Mansa’s home to Pato and Kpatu are 30 km and 80 km respectively. Calculate the average speed at which Mansa rode the bicycle from her home to Kpatu in km/h and to the nearest whole number.
47. [10]

BECE mock · Mathematics

Akwasi, Haruna and Peter shared GH¢ 8,600.00 in the ratio 2 : 3 : 5 respectively. Haruna invested his share at a rate of 15% per annum for 4 years. Calculate the amount Haruna had at the end of his investment.
48. [5]

BECE mock · Mathematics

Akwasi, Haruna and Peter shared GH¢ 8,600.00 in the ratio 2 : 3 : 5 respectively. Haruna invested his share at a rate of 15% per annum for 4 years. How much more money did Peter get than Akwasi?
49. [5]

BECE mock · Mathematics

Find the truth set of \(3x - (x - 3) \leq x + 1\).
50. [5]

BECE mock · Mathematics

The perimeter of a rectangular plot of land is 480 m. Calculate the area of the plot if the longer side of the plot measures 150 m.
51. [5]

BECE mock · Mathematics

Given that, \(\overrightarrow{PQ}=\begin{pmatrix}-3\\8\end{pmatrix}\) and \(\overrightarrow{PR}=\begin{pmatrix}6\\-4\end{pmatrix}\), find the components of \(\overrightarrow{QR}\).
52. [5]

BECE mock · Mathematics

Make \(T\) the subject of the relation: \(\frac{g}{T}=w+\frac{m}{n}\). Using the answer obtained, find the value of \(T\) when \(g=-3,\ n=2,\ w=1\) and \(m=4\).
53. [5]

BECE mock · Mathematics

Using the answer obtained, find the value of \(T\) when \(g=-3,\ n=2,\ w=1\) and \(m=4\).
54. [10]

BECE mock · Mathematics

Mr Kusi shared his property worth GH¢ 800,000.00 to his four children. The first child had GH¢ 250,000.00. The second had \(\frac{2}{5}\) of the remaining. If the third child had \(\frac{1}{3}\) of what still remained, how much did the last child get?
55. [5]

BECE mock · Mathematics

Expand and simplify \((2q - 1)(3q + 4)\).
56. [5]

BECE mock · Mathematics

The pie chart below shows the number of vehicles that used a certain road in a 5 minutes survey. If there are 25 motor bikes, how many saloon cars are there?
Diagram for question 56

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