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Total questions: 15
Worksheet time: 25mins
A train can travel 50% faster than a car. Both start from point A at the
same time and reach point B 75 kms away from A at the same time. On the
way, however, the train lost about 12.5 minutes while stopping at the stations.
The speed of the car is:
100kmph
110kmph
120kmph
130kmph
Given that sin(α) = 1/3 and cos(β) = 3/5, find the value of sin(α + β).
(3 + 8√2)/15
(2 + 4√2)/15
(3 + 8√2)/14
(3 + 8
√2)/12
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by
1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
90cm
1m
10cm
1.1cm
Two trains running in opposite directions cross a man standing on the
platform in 27 seconds and 17 seconds respectively. If they cross each other
in 23 seconds, what is the ratio of their speeds?
Insufficient data
3:1
1:3
3:2
Find the derivative of the function f(x) = (2x^2 + 3x + 1)(4x^3 - 2x + 5).
40x^4 + 68x^3 + 72x^2 - 8x + 46
40x^4 + 68x^3 + 72x - 8x^(1/2) + 36
40x^4 + 68x^3 + 72x^2 - 8x
40x^4 + 68x^3 + 72x^2 - 46
A car travels a distance of 240 kilometers in 4 hours. What is the
average speed of the car?
60 km/h
80 km/h
120 km/h
240 km/h
A train travels a distance of 540 kilometers at an average speed
of 90 km/h. If the train stops for 15 minutes during the journey, what is the
total time taken by the train to complete the trip?
6 hours
6.5 hours
7 hours
7.5 hours
Find the derivative of the function f(x) = 5x^3 - 2x^2 + 4x - 3.
f'(x) = 15x^2 - 4x + 4
f'(x) = 15x^2 - 4x - 4
f'(x) = 15x^2 - 2x + 4
f'(x) = 15x^2 - 2x - 4
A car travels a distance of 300 kilometers at an average speed of
60 km/h. How long does it take for the car to complete the journey?
2 hours
3 hours
4 hours
5 hours
A bag contains 5 red balls and 7 blue balls. If two balls are
drawn randomly without replacement, what is the probability that both balls
are red?
5/66
5/33
5/12
4/11
Find the derivative of the function f(x) = sin(3x) + cos(2x)
f'(x) = 3cos(3x) - 2sin(2x)
f'(x) = 3cos(3x) + 2sin(2x)
f'(x) = 3sin(3x) - 2cos(2x)
f'(x) = 3sin(3x) + 2cos(2x)
Find the greatest number that will divide 43, 91 and 183 so as to leave the same
remainder in each case.
4
7
9
13
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
9000
9400
9600
9800
In a deck of playing cards, what is the probability of drawing a
red card or a face card (jack, queen, or king)?
12/13
10/13
11/13
8/13
In a certain store, the profit is 320% of the cost. If the cost increases by
25% but the selling price remains constant, approximately what percentage of
the selling price is the profit?
30%
70%
100%
250%
