Number
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
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 at least one game.
0.88
A = 22 × 3 × 52 B = 23 × 32 × 7
Write down the highest common factor (HCF) of A and B.
12
A straight line has equation 4y – 5x = 2
Work out the gradient of this line.
5/4
A team of 3 workers can dig a hole in 9 hours. How long would it take 6 workers, all working at the same rate, to dig the same hole?
4.5 hours
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.
V=IR
I=5.984
R= 12.256
Estimate the value of V.
60 OR 72
Factorise 3x2 + 8x + 5.
(x+1)(3x+5)
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