Number
Find the highest common factor (HCF) of 20 and 44
HCF = 4
Simplify 3x + 4y - 2x + 8 - 7y
x - 3y + 8
Find the area of a rectangle with dimensions 13 x 4 cm
Area = 52 cm2
Two fair coins are tossed. Find the probability of tossing two tails.
1/4
I am an odd number. Take away one letter and I become even. What number am I?
Seven
Find the square root of 7056
84
Solve: (3-2x)/5 = 7
3-2x=35
-2x=32
x = -16
The hypotenuse of a right-angled triangle measures 17 cm. One of the short sides measures 8 cm. Find the length of the third side.
15 cm
Miss Lee rolls two dice and notes the sum of the numbers that lie on the uppermost face. What is the probability that she rolls a number greater than 9?
6/36 = 1/6
There are 50 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?
7+36 = 43 small dogs
What is the lowest common multiple (LCM) of 24 and 76?
456
Simplify: (6x3y)2/2y3
18x6/y
A toddler can walk 4.5 metres in 3 seconds. How far can it walk in an hour?
6480 metres
Mr Truong flips a coin 50 times. He finds that heads appeared 23 times. What is the probability, as a percentage, of heads appearing on the next flip?
50%
There is a basket containing 5 apples. How do you divide the apples among 5 children so that each child has 1 apple while 1 apple remains in the basket?
4 children get 1 apple each while the fifth child gets the basket with the remaining apple still in it
Consider the consecutive whole numbers below and their sum: 1000 + 1001 + 1002 + ... + 1021 = 2021 x N
Find the whole number value of N
N = 11
Four consecutive numbers have a sum of 384. Find the smallest of the numbers.
94.5
A circle of radius p cm has an area of 50 cm2. What is the area of a circle with radius 2p cm?
200 cm2
A bag contains 12 blue, 5 red and 2 yellow marbles. What is the probability of NOT selecting a red marble?
14/19
61, 52, 63, 94, 46, ?
18
Find the number of digits in the square root of 20215
9 (+ 1 decimal place)
A man is three times his son's age. In 12 years' time, he will be twice his son's age. Find the age of the man now.
36 years old
A girl with a 7-litre bucket and a 4-litre bucket goes to a well to get exactly 5 litres of water. She has no container other than the buckets. How can she do this?
Sample response: Fill the 7-litre bucket twice with the 4-litre bucket. 1 litre will be left over. Empty the 7-litre bucket and put the remaining 1 litre in. Then fill it with a full 4-litre bucket to make 5 litres.
From a group of 30 students, 15 play basketball, 17 play soccer and 8 play both. What is the probability that a student only plays basketball?
7/30
Using only addition, how can you add eight 8's to get the number 1000?
888 + 88 + 8 + 8 + 8 = 1000