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 821: If the value of is taken to be , the area of a semi-circle of diameter 42m is
Options:
A) 5544m2
B) 1386m2
C) 132m2
D) 264m2
E) 693m2
Show Answer
The correct answer is E .
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Question 822:
Simplify to 2 significant figures.
Options:
A) 0.2809
B) 2.51
C) 3.5
D) 0.098
Show Answer
The correct answer is D .
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Question 823: A bucket is 12 cm in diameter at the top, 8 cm in diameterat the bottom and 4 cm deep. Calculate its volume.
Options:
A) 304π/3 cm3
B) 144π cm3
C) 128π cm3
D) 72π cm3
Show Answer
The correct answer is A .
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Question 824: If y = 3t3 + 2t2 - 7t + 3, find at t = -1
Options:
A) -1
B) 1
C) -2
D) 2
Show Answer
The correct answer is C .
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Question 825:

In the figure, PQ\SR, ST\, ST\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.
Options:
A) 56.77
B) 56.105
C) 28:105
D) 28:49
E) 56:49
Show Answer
The correct answer is B .
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Question 826: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?
Options:
A) 9.60m
B) 6.06m
C) 2.54m
D) 2.53m
E) 2.00m
Show Answer
The correct answer is D .
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Question 827: The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.
Options:
A) 45
B) 75
C) 30
D) 60
Show Answer
The correct answer is D .
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Question 828:
Simplify 2log - log + log 9
Options:
A) 1 - 4 log3
B) -1 + 2 log 3
C) -1 + 5 log2
D) 1 - 2log 2
Show Answer
The correct answer is D .
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Question 829:

The diagram above is the graph of y = x2, the shaded area is
Options:
A) 64 square units
B) 128/3 square units
C) 64/3 square units
D) 32 square units
Show Answer
The correct answer is C .
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Question 830: The locus of a dog tethered to a pole with a rope of 4m is a
Options:
A) circle with diameter 4m
B) circle with radius 4m
C) semi-circle with diameter 4m
D) semi-circle with radius 4m
Show Answer
The correct answer is B .