Number
Write 240 as a product of its prime factors.
2 × 2 × 2 × 2 × 3 × 5 or 24 x 3 x 5
A straight line has equation 4y – 5x = 2
Work out the gradient of this line.
5/4
a is directly proportional to b
When a = 7, b=28
Find the value of b when a = 5
20
There are 5 starters and 6 main courses in a restaurant. Work out the total number of ways of choosing a starter and a main course.
30
A number x is rounded to 2 significant figures. The result is 210
Write down the error interval for x.
205 < x < 215
Write down the value of 3-3
1/27
Solve the simultaneous equations
3x – 2y = 7
7x + 2y = 13
x = 2
y = -1/2
In a sale, the normal price of a car is reduced by 30%. The sale price of the car is £6300
Work out the normal price of the car.
£9000
The probability that a sunflower seed will germinate is 0.9
Alan is going to plant 50 sunflower seeds.
Work out an estimate for the number of seeds that will germinate.
45
Write 4.5 m2 in cm2
45000
Work out the value of (5 × 103 ) × (6 × 107 )
Give your answer in standard form.
3 x 1011
Expand and Simplify
(x+5)(x-3)(2x-1)
2x3 +3x2-32x+15
Charlie invests £2500 for 3 years in a savings account. She gets 3% per annum compound interest in the first year, then x% for 2 years. Charlie has £2705.36 at the end of 3 years, work out the value of x
2.5%
Hannah is going to play one game of chess and one game of backgammon.
The probability she will win the game of chess is 0.6 The probability she will win the game of backgammon is 0.7
Work out the probability that Hannah will win both games
0.42
Solve 4x – 4 < 7x – 19
x>5
A = 22 × 3 × 52 B = 23 × 32 × 7
Write down the highest common factor (HCF) of A and B.
12
Work out the formula for the nth term of
-2, -1, 1, 4, 8
0.5n2 - 0.5n - 2
Carlos wants to find an estimate for the number of ants in a colony.
He catches 60 ants from the colony and marks each one with a dye. He then returns the ants to the colony.
A week later, Carlos catches another 60 ants. 8 of these ants are marked with the dye.
Work out an estimate for the number of ants in the colony.
450
There are 20 people in a room. Each person shakes each other person's hand once. Work out the number handshakes that take place.
190
Write 2.742424242... as a fraction in its simplest form.
181/66
V=IR
I=5.92 correct to 2 decimal places
R= 12.256 correct to 3 decimal places
Work out the upper bound for V to 3 decimal places
72.620
Write x2 + 8x + 5 in the form (x + a)2 +b
(x+4)2 - 11
Liquid A has a density of 1.2 g/cm3
150 cm3 of Liquid A is mixed with some of Liquid B to make Liquid C.
Liquid C has a mass of 210 g and a density of 1.12 g/cm3
Find the density of Liquid B
0.8g/cm3
Sami asked 60 people which sports they liked from rugby, football and cricket.
8 people like all three sports. 17 people like rugby and football. 13 people like football and cricket. 19 people like rugby and cricket. 35 people like football. 27 people like cricket 30 people like rugby.
How many people liked neither rugby or football or cricket?
9
Solve 5x2-80=0
x = -4 , x = 4