Linear Equations
Rearranging
Factorising
Sequences
Random
100
2x+3 = 7
x = 2
100
Make x the subject of
y = 3x - a
x = (y+a)/3
100
Factorise
2x + 8
2(x+4)
100
Find the nth term of
2, 4, 6, 8, 10
2n
100
Ice cube
200
2(x-3) = 8
x = 7
200
Make y the subject of
k = y² + a
y = (k-a)⁽⁰.⁵⁾
200
Factorise
27x + 45y
9(3x + 5y)
200
Find the nth term of
-2, -8, -14, -20, -26
-6n + 4
200
360
300
2x - 3 = 4x + 7
x = -5
300
Make a the subject of
2(3a - c) = 5c + 1
a = (7c + 1)/6
300
2x² + 8xy
2x(x+4y)
300
It is raining constantly. Because I love to collect numbers, I measure the quantity of water in my bucket.
After one minute, there is 30.5ml of water. After 2 minutes there are 31.25ml of water. After 3 minutes there are 32.5ml of water.
How many ml of water will there be after n minutes?
1.25n + 29.25
300
The price of an item increases by 20% and then decreases by 20%.
Is the item now worth more, less or the same?
Less!
400
3(x - 8) + 2(7 - x) = 2(x + 2(x + x))
x = 1
400
Make b the subject of
4 = (2c-7b)/(b-c)
b = 6/13 c
400
Factorise
21w²z - 77wx7w(3wz - 11x)
400
Find the nth term of
1085, 1142, 1199, 1256, 1313
57n + 1028
400
Julie and her daughters Megan and Zoey have the same birthday.
Today, Julie is 32, Megan is 4 and Zoey is 1.
How old will Julie be when her age is the sum of the ages of Megan and Zoey?
59
500
20/(x+1)+ (-3) = 2
x = 3
500
Make x the subject of
5(x-3)=y(4-3x)
x = (4y + 15)/(3y + 5)
500
Factorise
4x²y + 3yx³+2x²zy
x²y(4+3x+2z)
500
Find the nth term of
2, 5, 10, 17, 26, ...
n² + 1
500
The team that chooses this wins 100 points!
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