Pythagorean Theorem
Mean Median Mode
Linear Equations
Trigonometry
Percentages
50
Calculate the length of the hypotenuse:
26
50
Find the mean of first ten whole numbers
4.5
50
The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.
8 and 17
50
Use trigonometry to find the value of x:
25.9
50
In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
54
100
Calculate x:
23.2
100
The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9.
Find the value of x
9
100
The length of a rectangle is twice its breadth. If the perimeter is 72 metre, find the length and breadth of the rectangle.
24 and 12
100
Use trigonometry to find the value of the missing angle:
66.4
100
Barryʼs salary is £14 000 and he is due to get an increase of 5%. Calculate how much this increase will be.
700
200
A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall.
5 m
200
Find the mean of first 5 prime numbers.
5.6
200
The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?
84 and 36
200
For the given angle, what is the correct value of the side opposite?
7.7
200
Georgina needs to buy petrol for her car.
Her car can hold 70 litres of petrol.
There are already 20 litres of petrol in the tank. Georgina is going to fill up the petrol tank. The price of petrol is 115.9p per litre.
Georgina has a voucher that gives her 3% off the price of petrol. How much does Georgina have to pay for the petrol?
56.22
300
Find the perimeter of a rectangle whose length is 150 m and the diagonal is 170 m.
460 m
300
The mean of 40 numbers was found to be 38. Later on, it was detected that a number 56 was misread as 36. Find the correct mean of given numbers.
38.5
300
Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron. Find their present ages.
Ron 6 and Aaron 1
300
From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot.
33
300
A ball is dropped from a height of 3m and is allowed to bounce repeatedly. Each time it rises to a height which is 80% of the height it fell from. What height does the ball rise to after the second bounce.
1.92 m
400
The height of two building is 34 m and 29 m respectively. If the distance between the two building is 12 m, find the distance between their tops.
13 m
400
The mean of a set of 12 numbers is 65. When a number y is removed from the set, the mean is changed to 63.
87
400
A number is divided into two parts, such that one part is 10 more than the other. If the two parts are in the ratio 5 : 3, find the number and the two parts.
15 and 25
400
A student lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest foot.
45
400
Alice organized a yard sale of her old books on Saturday and Sunday, and expected to sell an equal number of books on each day. However, due to heavy rains on Saturday she could sell only 20% of her books that day. She managed to sell the rest of them on Sunday. Had she sold 36 more books on Saturday, she would have met her expectation. Find the number of books she sold altogether.
120