Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.
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Question 401: OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT
Options:
A) 2
B) 3
C) 4
D) 4
Show Answer
The correct answer is D .
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Question 402:
If two graphs y = px2 + q and y = 2x2 − 1 intersect at x =2, find the value of p in terms of q
Options:
A) q −
B) 7 −
C) 8 −
D) 7 +
Show Answer
The correct answer is B .
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Question 403: If a u2 - 3v2 and b = 2uv + v2 evaluate (2a - b)(a - b2), when u = 1 and v = -1
Options:
A) 9
B) 15
C) 27
D) 33
Show Answer
The correct answer is A .
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Question 404:

In the diagram, O is the centre of the circle. If SOQ is a diameter and < PRS is 38, what is the value of < PSQ
Options:
A) 148
B) 104
C) 80
D) 52
Show Answer
The correct answer is D .
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Question 405: Thirty boys and x girls sat for a rest. The mean of the boys scores and that of the girls were respectively 6 and 8. Find x if the total scores was 468
Options:
A) 38
B) 24
C) 36
D) 22
E) 41
Show Answer
The correct answer is C .
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Question 406: Four boys and ten girls can cut a field in 5 hours if the boys work at the rate at which the girls work. How many boys will be needed to cut the field in 3 hours?
Options:
A) 180
B) 60
C) 25
D) 20
Show Answer
The correct answer is D .
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Question 407: Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.
Options:
A) 81 π cubic units
B) 36 π cubic units
C) 18 π cubic units
D) 9 π cubic units
Show Answer
The correct answer is B .
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Question 408: P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 60°, find angle UST.
Options:
A) 310°
B) 130°
C) 80°
D) 50°
Show Answer
The correct answer is B .
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Question 409: Evaluate
Options:
A) 1/3
B) 3
C) 6
D) 1/6
Show Answer
The correct answer is A .
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Question 410: The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms.
Options:
A) 24
B) 23
C) -24
D) -25
Show Answer
The correct answer is D .