a. In the diagram above, the radius of the sector of circle centre O is 7 cm and ∠MON is 60°. Find, correct to one decimal place, the area of the shaded portion. (take \(\pi = \frac{22}{7})\)
b. The x and y intercep…
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2023
a. In the diagram above P, Q, R, and S are points on the circle with centre O.
QR // OS , ∠QOR = 2m, ∠QPR = n and ∠SOR = 54°. Find the values of m and n.
b. The length of a rectangle is 4 cm more than the width. If th…
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2023
a. Two regular polygons P and Q are such that the number of sides of P is twice the number of sides of Q. The difference between the exterior angle of P and Q is 45°.find the number of sides of p.
b. The area of a semi-c…
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2023
a. In a town, Chief X resides 60 m away on a bearing of 057° from Palace P, while Chief Y resides on a bearing of 150° from the same Palace P. The residence of X and Y are 180 m apart. Illustrate the information in a dia…
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2023
a. The table shows the height of teak trees harvested by a farmer: Find the median height.
Height(m)
3
4
5
6
7
8
number of trees
4
6
4
5
6
2
b. calculate and correct to one decimal place the: i. mean;…
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2023
a. Copy and complete the tables of values of y = \(2x^2 - x - 4\) for -3 ≤ x ≤ 3
x
-3
-2
-1
0
1
2
3
y
17
-4
b. Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 unit on the y-axis, draw the…
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2023
a. The sum of three numbers is 81. The second number is twice the first. given that the third number is 6 more than the second, find the numbers.
b. Give me the points P(3, 5) and Q(-5, 7) on the Cartesian plane such t…
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2023
a. M = {n: 2n - 3 ≤ 37} Where n is a counting number. i). write down all the elements in M.
ii. If a number is selected at random from M what is the probability that it is a:
(α) multiple of 3;
(β) factor of 10.
b. A sh…
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2023
a. A boy stands at the point M on the same horizontal level as the foot, T of a vertical building. He observes an object on the top, P of the building at an angle of elevation of 66°. He moves directly backward to a new…
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2023
a. In the diagram above, P, Q, R, and S are points on the circle with centre K. KR is a bisector of angle ∠SRQ, ∠KSP = 41°, and ∠SKR = 80°. Find:
∠RQP;
b. Find ∠SPQ
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2023
a. In the diagram above, PQR is an equilateral triangle of side 18 cm. M is the midpoint of QR. An arc of a circle with center P touches QR at M and meets PQ at A and PR at B. Calculate, correct to two decimal places,…
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2023
a. In a football match, tickets for children and adults were sold at D3.00 and D5.00 respectively. if 400 people attended a football match and D1700.00 was collected in ticket sales. How many tickets were sold to adults?…
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2023
a. A car travels a distance of 112 km at an average speed of 70 km/h. it then travels a further 60 km at an average speed of 50 km/h. Calculate, for the entire journey, the total time taken.
b. if \(\frac{x}{y}\) = 2 a…
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2023
Find the mean deviation of assets of numbers: 14, 15, 16, 17, 18, and 19.
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2023
M varies jointly as the square of n and square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5, q = 9.
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2023
The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.
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2023
If 2x - 3y = -11 and 3x + 2y = 3, evaluate \( (y - x)^2\)
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2023
A notebook of length 15 cm was measured to be 16.8 cm, calculate, correct to two d.p, the percentage error in the measurement.
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2023
Find the gradient of the line passing through the points \((\frac{1}{2}, \frac{- 1}{3}) and ( 3 , \frac{2}{3})\)