ARITHMETIC
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
6 – 9 + 8 × 3 ÷ 20 = ……. .
10
Daniel is twice as old as Jimmy. Terry is one year younger than Daniel. If the sum of their age is 44. How old is Daniel?
18 years
102, 94, 87, 81, 73, 67,...?
61
Radius of two circular wheels shown are 24 cm and 16 cm, respectively. The wheels are connected as gear, so they rotate with each other. If the second wheel makes 720 revolutions, find the number of revolutions made by the first wheel.
480
John wants to inscribe a regular octagon inside a circle: he doesn't care about the size of the octagon. He knows how to do it using a ruler and a compass. What is the size of the angle he must mark off on the circumference of the circle in order to determine where to draw the corners of the octagon?
450
A long rope has to be cut to make 23 small pieces. If it is double folded to start with how many times does it need to be cut?
11
The number of prime factors in the prime factorization of 391314 is
4
0 , 3, 8, 15, 24, ...?
35
Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
178
If the radius of the circle is tripled, what will happen to its circumference and area?
Circumference will be three times and area will be nine times.
In a two digit number, the digit in the unit’s place is two more than the three times of the digit in ten’s place. If the sum of the two digits is 6, the number is
15
A train running at 90 km/hr crosses a pole in 10 seconds. What is the length of train?
250m
The next term in the following pattern is?
3, 6 , 18, 72 , ____?
360
Four friends in the sixth grade were sharing a pizza. They decided that the oldest friend would get the extra piece. Randy is two months older than Greg, who is three months younger than Ned. Kent is one month older than Greg. Who should get the extra piece of pizza?
Ned
Radius of two circular wheels shown are 24 cm and 16 cm, respectively. The wheels are connected as gear, so they rotate with each other. If the second wheel makes 720 revolutions, find the number of revolutions made by the first wheel.
480
A clock strikes once at 1 o’clock, twice at 2 o’clock, thrice at 3 o’clock and so on. How many times will it strike in 24 hours?
156
If the length and breadth of a rectangular plot are increased by 50% and 20% respectively, how many times will be the new area of the old area?
9/5 or 1 and 4/5
Look carefully for the pattern, and then which pair of numbers comes next.
13 29 15 26 17 23 19
20, 21
Jack goes fishing on Saturday and catches 32 fish. On Sunday, he catches 1/4 the amount of fish he caught on Saturday. On Monday he catches 1/2 the fish he caught on Saturday and Sunday combined. How many fish did he catch on Monday?
20
An icosagon is a polygon with twenty sides . How many non- overlaping triangles can be drawn in a regular icosagon ?
Don't spend hours drawing it: there's a short to solve this problem
18
125 gallons of a mixture contains 20% water. What amount of additional water should be added such that water content be raised to 25%?
8 1/3 gallons
The resistance of the cable varies directly as its length and inversely as the square of the diameter of the wire. Compare the electrical resistance offered by the two pieces of wire of the same material, one being 100 m long and 5 mm in diameter, and the other is 50 mm long and 3 mm in diameter.
R1 = 0.72 R2
Find the 7th term for the series 2, 8, 32, 128, … ?
8192
John works 4 days per week. He drives 10 miles round trip per day. If gas is $2.50 per gallon and his car gets 20 miles to the gallon, how much would he have spent on gasoline in 2 weeks getting back and forth to work?
$ 10
If two lines are perpendicular to each other and the product of their slopes ( gradients ) is -1. Which of the following lines are perpendicular to each other.
line 1 : y = 3x
line 2 : y = -⅓ x + 4
line 3 : y = -2x -5
line 4 : y = 2x
lines 1 and 2