Sample Core-Maths
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Question 1 of 19
1. Question
The mean of ten numbers is 9.5. If the mean of eight of them is 8.2, find the mean of the remaining two.
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Question 2 of 19
2. Question
Given that m varies inversely as the cube root of n and n = 64 when m = 3, find m when n = 8
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Question 3 of 19
3. Question
The gradient of a straight line which passes through the point (-2,3) is 2. Find its equation
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Question 4 of 19
4. Question
Evaluate sin210°+cos210°
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Question 5 of 19
5. Question
The table shows the distribution of the height of plants in a nursery
Height 2 3 4 5 6
Frequency 2 4 5 3 1Find the percentage of plants with heights above the modal height
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Question 6 of 19
6. Question
A fair die is thrown once. Find the probability of obtaining a 3, 4 or 5
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Question 7 of 19
7. Question
If
find the value of p
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Question 8 of 19
8. Question
Write 4897 correct to three significant figures
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Question 9 of 19
9. Question
Write down the 5th term of the sequence 1, 2, 3; 2, 3, 4; 3, 4, 5; …
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Question 10 of 19
10. Question
If
find the value of n
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Question 11 of 19
11. Question
Given that a = 3 and b =
. find the value of
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Question 12 of 19
12. Question
Find r in terms of q, s, and t in the equation:
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Question 13 of 19
13. Question
If (x-y) is one of the factors of
, find the other factor
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Question 14 of 19
14. Question
If
, find z when x = 2 and y =3
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Question 15 of 19
15. Question
Given that
find the solution set of the inequality:
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Question 16 of 19
16. Question
An empty container with rectangular base is 50 cm long and 24 cm wide. If 36 liters of water is poured into the container. How high will the water level rise?
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Question 17 of 19
17. Question
The diameter of the base of a cone is 8cm and its height is 3 cm. Calculate the curved surface area of the cone.
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Question 18 of 19
18. Question
The interior angle of a regular polygon of n sides is 120°. What is the value of n?
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Question 19 of 19
19. Question
From the top of a cliff 90 m high, the angle of depression of a boat on the sea is 36.2°. Calculate correct to one decimal place, the distance of the boat from the cliff
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![[Take\ \pi=\frac{22}{7}]](https://s0.wp.com/latex.php?latex=%5BTake%5C+%5Cpi%3D%5Cfrac%7B22%7D%7B7%7D%5D&bg=ffffff&fg=000000&s=0 "[Take\ \pi=\frac{22}{7}]")