Solving
SOLVE
3x/10 - 4 = 8
x = 40
Alan is y years old and has a sister Beth.
Beth is 3 times the age of Alan.
Donna is 2 years younger than Beth.
Write an expression for Donna's age.
3y - 2
The area of a square with a side of 7b
49b2
Write down the nth term, of this sequence:
4 11 18 25
7n - 3
the highest number that can be divided exactly into each of two or more numbers.
Highest Common Factor
In the isosceles triangle ABC,
AB = AC
angle B = 3x + 32
angle C = 87 - 2x
Work out the value of x.
11
7(2x - 3) = 1
Find the value of X
x = 3/2
A square has a perimeter of 36 cm. Find the area of the square.
81 cm2
Here are the first 5 terms of a Fibonacci sequence:
2 2 4 6 10
Find the 8th term in the sequence.
42
a line graph of class frequency plotted against class mid-point.
Frequency Polygon
SOLVE
(a/6) - (2a/3) = 3
a = -6
Cups cost x dollars each. Mugs cost (x+2) dollars each.
Write an expression, in terms of x, for the total cost of 12 cups and 6 mugs.
12x + 6(x+2)
The Length of a rectangle is 2(x - 1).
The width of a rectangle is x - 2.
Find the value of x which means that the length is five times the width.
x = 8/3
The nth term of a sequence is n2+3.
Find the first 3 terms of the sequence.
4, 7, 12
States that, in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagoras' Theorem
Angelou has x sweets . He eats 5 of these sweets. He puts all the sweets he has left into a bag. Nina has 3 times as many sweets as the number that Angelou put into the bag. Nina has 39 sweets.
Find the value of x.
18
Tara has 3 dogs and 4 cats
The dogs have a mean weight of x kg.
The cats have a mean weight of y kg.
Write down an expression, in terms of x and y, for the mean weight of all of Tara's pets.
(3x + 4y) / 7
An isosceles triangle has two sides with a length of 2x.
The base of the triangle has a length of 10.
The perimeter of the triangle is 34cm.
What is the area of the triangle?
x = 6cm so A = 54.5 cm2
The nth term of a arithmetic sequence is 2n – 3.
Is 101 a term in this sequence?
Is so which term?
Yes the 52nd term
An angle measured upwards from a horizontal.
Angle of elevation
Barney has the same number of sweets as Millie.
Barney gives 15 of his sweets to Millie.
Millie now has 4 times as many sweets as Barney.
Work out the total number of sweets that Barney and Millie have.
25 each (50 total)
In 5 years time I will be 5 times as old as I was 11 years ago. Form a suitable equation, and hence determine my age.
a+5=5(a-11)
a=15
Three regular hexagons are put together to make a larger shape, only two sides touching at a time.
The perimeter of one of the regular hexagons is 18cm. Find the perimeter of the larger shape.
36cm
Find the Nth term of the following sequence:
-12, -7, 8, 33, 68
5n2−10n−7
When the ratio of two quantities stays the same as they increase or decrease. As one is multiplied by, n, so is the other.
Direct Proportion