Arithmetic
What is the sum of the first 20 natural numbers?
210
Solve for x:
2(x-5) +1 = 12
10.5
Two angles of a triangle are equal, and the third angle is 48°. Find the equal angles.
660
What is the 7th term of the sequence:
3,6,12,24,....
192
If today is Tuesday, what day will it be after 10 days?
Friday.
The sum of two numbers is 70. Their difference is 14. What are the numbers?
28 and 42
The sum of two consecutive even numbers is 118.
Find the numbers.
58 and 60
In a triangle, one angle is twice the second angle, and the third angle is 60°. Find the triangle’s angles.
40 and 80.
What is the 10th term of the sequence:
5, 8, 11, 14,
32
A man is facing North. He turns 90° clockwise, then 180°, then 90° anticlockwise. Which direction is he facing?
South
The average of 5 numbers is 18. If one of them is 12, what is the average of the remaining 4?
19.5
A brother is 4 times as old as his sister. In 10 years, the brother will be twice as old as his sister. Find their present ages.
20 and 5.
Length of a cuboid is double of its width and half of its height. Express the volume of the cuboid in terms of its length.
L3
Find the next three terms:
2 , 6, 12, 20 , 30 .....
42, 56, 72
A farmer has goats and hens. Together they have 50 heads and 140 legs. How many goats and hens?
20 goats and 30 hens.
HCF of two numbers is 12 and the LCM of the two numbers is 360.
If one number is 36, what is the other number?
120
The denominator of a fraction is 6 more than its numerator. If both numerator and denominator are increased by 3, the fraction becomes 3/4. Find the original fraction.
15/21
A solid prism with a square base has side 10 cm and height 24 cm. A smaller cube of side 6 cm is cut out from inside. Find the remaining volume.
2184 cm^3
What is the sum of the first 15 even numbers?
240
In a class of 40, 22 like math, 18 like science, 10 like both. How many like neither?
10
A shopkeeper gives 20% discount on a $500 item and still makes 25% profit. What is the cost price of the item?
$320
The sum of three consecutive multiples of 7 is 105. Find the numbers.
28,35 and 42.
A wooden prism has a rectangular base 18 cm by 12 cm and height 20 cm. It is cut into two triangular prisms by slicing diagonally across the rectangular base. Find the volume of each smaller prism.
2160 cm^3
A sequence is generated by multiplying 3 to the previous term. If the 6th term is 1944, what was the first term of the sequence.
8
If 1 March is a Friday in a non-leap year, which day is 1 May?
Wednesday.