Fast Printing Dec 205 Mathematics
Fast Printing Dec 205 Mathematics - Paper 1 - Objective Test Instructions
Answer all the questions. Each question is followed by four options lettered A to D. Find the correct option for each question and shade in pencil on your answer sheet the answer space which bears the same letter as the option you have chosen. Give only one answer to each question.
Question 1
Re-write 4825.617 to two decimal places.
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Question 2
Express 0.15 as a fraction in its simplest form.
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Question 3
Twice the breadth of a rectangle is its length. What is the area of the rectangle if the length is 18 cm?
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Question 4
GH¢ 5,760.00 was shared among a group of boys and each boy had GH¢ 240.00. How many boys shared the money?
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Question 5
Evaluate 2x - 3y(y - x) given that x = -1 and y = -2.
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Question 6
Which equivalent ratio matches 6 : 9?
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Question 7
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?
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Question 8
Simplify 3√90 - √40.
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Question 9
Find the gradient of a straight line that joins the points with coordinates (6, -2) and (-4, 4).
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Question 10
A train covered a distance of 270 km in 45 minutes. Calculate the speed at which the train travelled in km/h.
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Question 11
Find the image of the point (8, -5) under a reflection in the line y = 0.
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Question 12
Factorize completely the expression 12mn + 6m - 2n² - n.
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Question 13
The truth set of (2/3)x - 1 ≤ (1/2) + 2x is given as
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Question 14
Use the mapping above to answer this question. What is the rule of the mapping?
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Question 15
Use the mapping above to answer this question. Find the value that replaces K in the mapping.
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Question 16
The sum of the internal angles of polygon is 2520°. How many sides has this polygon?
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Question 17
Expand and simplify 5(t + 1) - (t - 1).
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Question 18
If one pound is exchanged for GH¢ 18.00, how much pounds will be equivalent to GH¢ 6,300.00?
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Question 19
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.
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Question 20
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?
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Question 21
The components of a vector PQ is (-4, -3). What is the magnitude of vector PQ?
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Question 22
Write 9.678 as a number in three significant figures.
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Question 23
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%?
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Question 24
Find the Least Common Multiple of 40, 60 and 80.
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Question 25
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?
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Question 26
The bearing of Tepa from Ada is 105°. What is the bearing of Ada from Tepa?
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Question 27
Make Z the subject of the relation: m/t + g = 1/Z.
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Question 28
Three supplementary angles are 60°, 85° and w°. Find the value of w.
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Question 29
The side of a cube is 12 cm. Find in cubic centimetres the space enclosed by the cube.
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Question 30
Two set of lines have equal distance apart throughout their lengths. Such lines are said to be
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Question 31
Find m - 2n given that m = (4, -6) and n = (1/2, 3/2).
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Question 32
Arrange in ascending order of magnitude the following: 2/5, 1/3, 3/8.
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Question 33
What is the value of x if 2^(x-3) = 4^(x+1)?
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Question 34
Arafat invested GH¢ 6,000.00 at a rate of 2½% per annum for 8 months. Calculate the interest he received.
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Question 35
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?
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Question 36
Aku bought a dress for GH¢ 800.00 and sold it at a profit of 5%. How much did Aku sell the dress?
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Question 37
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?
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Question 38
Evaluate 1(2/5) - (1/3 + 3/5).
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Question 39
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.
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Question 40
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
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Fast Printing Dec 205 Mathematics - PAPER 2 - ESSAY Instructions
Answer four questions only. All questions carry equal marks. All working must be clearly shown. Marks will not be awarded for correct answers without corresponding working.
Question 41
Evaluate \(1\frac{1}{5} - \left(\frac{2}{3} + \frac{1}{5}\right) \div 2\frac{3}{5}\).
Essay Question
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Question 42
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.
Essay Question
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Question 43
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.
Essay Question
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Question 44
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?
Essay Question
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Question 45
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.
Essay Question
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Question 46
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.
Essay Question
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Question 47
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.
Essay Question
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Question 48
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?
Essay Question
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Question 49
Find the truth set of \(3x - (x - 3) \leq x + 1\).
Essay Question
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Question 50
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.
Essay Question
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Question 51
Given that, \(\overrightarrow{PQ}=\begin{pmatrix}-3\\8\end{pmatrix}\) and \(\overrightarrow{PR}=\begin{pmatrix}6\\-4\end{pmatrix}\), find the components of \(\overrightarrow{QR}\).
Essay Question
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Question 52
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 \(m=4\).
Essay Question
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Question 53
Using the answer obtained, find the value of \(T\) when \(g=-3,\ n=2,\ w=1\) and \(m=4\).
Essay Question
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Question 54
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?
Essay Question
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Question 55
Expand and simplify \((2q - 1)(3q + 4)\).
Essay Question
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Question 56
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?
Essay Question
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