Numbers - mixed
(3min)
(3min)
Jacob buys a watch costing £84 This cost includes VAT at a rate of 20%.
How much is the watch without VAT?
£70
Solve
x² = 8x − 15
(x-5)(x-3) so
x = -5, x = -3
The chances a team wins is 0.65 and the chances they draw is 0.25. What is the probability that they lose?
0.1 or 10%
Simplify fully √3 (√27 − √3)
6
Your maths teachers are both born in which month?
May
Evaluate
81-3/4
1/27
Victor is y years old.
His brother Fred is four years old than Victor.
The product of their ages is 780.
How old is Victor?
26
Alex and Beth are two of the six finalists in an art competition. The two best selected finalists will win a prize. Find the probability that Alex and Beth are selected.
2/30 OR 1/15
Rationalise the denominator of
12/7√3
4√3/7
What do people with Trypophobia fear?
Trypophobia is the fear of closely-packed holes.
x is inversely proportional to the square root of y.
When x = 12, y = 9.
Find the value of x when y = 81
x = 4
Make y the subject of the formula c = w - 4ay³
y = ∛(w - c)/4a
Rosie picks a 4 digit odd number.
The first digit is 5. The second digit is a 3 or 4. The third digit is prime.
How many different 4 digit numbers could Rosie pick?
40
What is
(√2 + 3√8)²
98
Which country has the most vending machines?
Japan
Here are the first 5 terms of a quadratic sequence
−3 3 13 27 45
Find an expression, in terms of n, for the nth term of this quadratic sequence
2n2- 5
Write the following in the form 𝑎(𝑥 + 𝑏)² + 𝑐
2𝑥2 + 8𝑥 + 10
2(𝑥 + 2)2 + 2
Samantha has 10 black socks, 8 white socks and 2 blue socks.
She picks two socks at random, without replacement.
Calculate the probability she chooses two socks of the same colour.
148/380 OR 37/95
Rationalise and simplify (18 − √6) / (3-√6)
Give your answer in the form a+b√6 where a and b are integers
16 + 5√6
What is Minnie Mouse's real name?
(also starts with M!)
Minerva
Dylan, Eli and Fabian share some sweets. The amount of sweets Dylan gets to the amount of sweets Eli gets is in the ratio 7:3.
The amount Dylan gets to the amount Fabian gets is in the ratio.
4:5 Given Fabian gets 21 more sweets than Dylan.
Work out how many sweets Eli gets.
36 sweets
determine the solution(s) of
y=x2-6x+5
2y-4x=10
(0,5) and (8,21)
There are 8 sweets in a bag.
Three sweets are red, three sweets are blue and two sweets are green.
Three sweets are selected at random without replacement.
Calculate the probability that the sweets are not all the same colour
54/56 OR 27/28
Expand and Simplify (2 + √3 )2 – (2 – √3 )2
8√3
How many burgers does Mcdonalds sell every second?
(this value is a multiple of 5)
75