WAEC SSCE - General Mathematics - 1996 (Objective)
Question 1 Report
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We can use trigonometry to solve this problem. Let's draw a diagram to help us visualize the situation:
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We know that the angle of elevation of X from P is 60 degrees, which means that the angle XPX' is also 60 degrees, where X' is the foot of the pole. We also know that the distance from P to X' is 55m.
Let H be the height of the pole. Then we have:
tan 60 = H / PX'
We can simplify this expression using trigonometric ratios:
√3 = H / 55
Solving for H, we get:
H = 55√3
Therefore, the height of the pole is 55√3 meters. So the correct option is (c).
Question 3 Report
Expand (2x - 5)(x - 3)
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Question 4 Report
The number of goals scored by a football team in 20 matches is shown in the table above
What is the modal goal scored?
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Question 5 Report
If x is a real number which of the following is more illustrated on the number line?
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Question 7 Report
In the diagram above, PQ is a tangent to the circle MTN at T. What is the size of ?MTN?
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Question 8 Report
The trapezium PQRS parallel to SR,?PQS = 34o and ?SPQ = 2 ?SRQ. Find the size of, SQR
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Question 9 Report
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Question 10 Report
Simplify 56x\(^{-4}\) \(\div\) 14x\(^{-8}\)
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Question 11 Report
In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?
[Take π = 22/7].
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Question 12 Report
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Question 13 Report
In the diagram above, KLMN is a cyclic quadrilateral. /KL/ = /KN/, ?NKM = 55o and ?KML = 40o. Find ?LKM
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Question 16 Report
In the diagram above, /PQ/ = /PS/ and /QR/ = /SR/. Which of the following is/are true? i. the line PR bisects ?QRS ii. The line PR is the perpendicular bisector of the line segment QS iii. Every point on PR is equidistant from SP and QP
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Question 17 Report
In the diagram above, O is the center of the circle of radius 3.5cm, ?POQ = 60o
Use the information to answer the question below [Take ? = 22/7]
What is the length of the arc PXQ?
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Question 19 Report
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Question 20 Report
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Question 21 Report
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Question 22 Report
In the diagram above, find x correct to the nearest degree
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Question 25 Report
In the diagram above, AB, CD and XY are straight lines intersecting at W. Find ?CWX
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Question 26 Report
In the diagram above, TRQ is a straight line. Find p, if p = 1/3(a + b + c)
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Question 27 Report
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Question 28 Report
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Question 29 Report
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To find the value of q, we need to solve the given system of equations:
3p - q = 6 ...(1)
2p + 3q = 4 ...(2)
One way to solve this system is to use the method of elimination, where we eliminate one of the variables by adding or subtracting the equations.
Multiplying equation (1) by 3, we get:
9p - 3q = 18 ...(3)
Now, we can eliminate q by adding equations (2) and (3):
2p + 3q = 4
9p - 3q = 18
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11p = 22
Dividing both sides by 11, we get:
p = 2
Substituting this value of p in equation (1), we get:
3(2) - q = 6
Simplifying this, we get:
6 - q = 6
Subtracting 6 from both sides, we get:
-q = 0
Dividing both sides by -1, we get:
q = 0
Therefore, q = 0 is the solution of the given system of equations.
In summary, to find the value of q, we used the method of elimination by multiplying equation (1) by 3 and adding it to equation (2) to eliminate q. This resulted in finding the value of p as 2. Substituting this value of p in equation (1), we found the value of q as 0.
Question 30 Report
In the diagram, ?PMN = ?PRQ and ?PNM = ?PQR. If /Pm/ = 3cm, /MQ/ = 7cm and /PN/ = 5cm, find /NR/
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Question 31 Report
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Question 32 Report
The table gives the distribution of outcomes obtained when a die was rolled 100 times.
What is the experimental probability that it shows at most 4 when rolled again?Answer Details
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Question 34 Report
M varies directly as n and inversely as the square of p. If M = 3, when n = 2 and p = 1, find M in terms of n and p.
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Question 35 Report
The number of goals scored by a football team in 20 matches is shown in the table above
What is the mean goal scored?
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Question 36 Report
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Question 37 Report
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Question 38 Report
Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)
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Question 39 Report
Convert the decimal number 89 to a binary number
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Question 40 Report
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Question 42 Report
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Question 43 Report
In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ?PQR = 35o.Calculate ?SQT
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Question 45 Report
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Question 46 Report
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Question 47 Report
A boy measured the length and breath of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?
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Question 48 Report
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Question 49 Report
