100 terms

Maths GCSE revision

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Whole number
What is an integer
Only has 2 factors, 1 and itself. 2,3,5,7,11,13,17,19,23,etc
What is a prime number ?
6, 12, 18, 24, 30....
What are the multiples of 6
2x2x3 = 2² x 3
What are the prime factors of 12 ?
2 isn't but 3 and 5 are
(digit sum 5+2+3+5 > 15 > 6)
Are 2,3 and 5 all factors of 5235 ?
12
What is the lowest common multiple of 4 and 6 ?
25
What is the highest common factor of 50 and 75 ?
0.04
What is 0.2 x 0.2 ?
3.1
What is 3.14159265359 to 1 decimal place?
3800
What is 3782 to 2 significant figures?
28
Estimate 4.3 x 6.85
2/3
What is 16/24 in its lowest terms?
Equivalent fractions
1/2, 2/4 and 3/6 are what?
1
Work out
2/7 + 5/7
5/6
Work out
1/3+ 1/2
6/15
Work out
2/3 x 3/5
KFC
½ x 4/3 = 4/6 = 2/3
How would you work out
½ ÷ ¾
2 ¾
Express 11/4 in mixed numbers
3/4
Which is the biggest 3/5, 5/7, or 3/4 ?
15/100 = 3/20
Express 15% as a fraction in its lowest terms
8
What is 10% of 80 ?
£48
What is £40 + 20% VAT ?
60%
What is 0.6 as a percentage ?
1/50
What is 0.02 as a fraction in its lowest terms?
£8 and £12
Split £20 in the ratio 2:3
24
2 players score points in the ratio of 3 to 5. but one scores 6 more than the other.
How many points did they score together?
60%
What is 24/40 as a percentage ?
60 kg
Concrete is made with cement, sand and gravel in the ratio of 1 : 3 : 6
How sand do you need to make 200 kg of concrete?
300g sugar
These are the sponge pudding ingredients for 4 people:
2 Eggs
120g flour
120g sugar
120g butter
2tbsp milk
3tbsp syrup
How much sugar is needed for 10 people?
7a + b
Simplify
2a + 3b + 5a - 2b
6y³
Simplify
2y x 3y x y
3x(2x + 5)
Factorise fully
6x² + 15x
6x - 12
Expand
3(2x - 4)
17
Work out
2 + 3 X 5
12
If x=3 and y = -2
work out xy²
1+ 2 x (3 + 4) = 15
Put in a pair of brackets to make this correct:
1+ 2 x 3 + 4 = 15
a
Simplify
a² X a² ÷ a³
b^6
(b to the power 6)
Simplify
(b²)³
1
Evaluate
5 to the power zero
4n + 1
What is the rule for this sequence?
5 9 13 17 ....
True 8 x 8 = 64
4 x 4 x 4 = 64
"64 is a square number and a cube number"
True or false?
298
What is the 100th term in this sequence?
1 4 7 10 13 ...
No - 36 [+1] 37 [÷5] > 7.4
Is 36 in the sequence with the rule 5n - 1 ?
1 4 9 16 25 .....
What is the rule for this sequence?
Vertical line through x = 3
Where would x = 3 be on this grid ?
y = 2x + 3
A straight line has gradient 2 and y-intercept3.
What is the equation of the line?
gradient -1
y intercept 1
equation y = -x + 1 (or y + x = 1)
A straight line goes through the point (0,1) and (1,0).
what is its the gradient, y intercept and equation?
(0,0)
What are the co-ordinates of the origin ?
U shaped
What shape is y = x² ?
(5,4)
Find the mid-point of (2,3) and (8,5)
a = 4
Solve
3a - 5 = 7
b = 2
Solve
3(b + 5) = 21
c = 3
Solve
5c + 3 = 3c + 9
x = 20°
The angles in a triangle are x, 3x and 5x.
Work out x
70mph
A car covers 105 miles in 90 minutes.
How fast is it travelling?
25 minutes
Running at 200 metres per minute, how long will it take to run 5 km ?
T = D/s
If D = sT , make T the subject
Isosceles triangle
Name this shape
360°
What is the angle sum of a quadrilateral?
Exactly the same shape
What does congruent mean?
Similar
If 2 shapes look the same but are different sizes, they are said to be s____________?
60°
What is the exterior angle of a hexagon?
7 cm or 4 cm
An isosceles triangle has sides 7 cm and 4 cm.
How long is the third side?
12 m
What is the perimeter of a square with area 9m² ?
15 cm²
A triangle has a base 6cm and a height 5cm. What is its area?
C = π d
What is formula for the circumference of a circle ?
A = π r²
What is formula for the area of a circle ?
Chord
What is the red line called?
Sector
What is the yellow area called?
Tangent
What is the red line called?
Alternate angles in parallel lines
Angle 5 = Angle 6
and Angle 7 = Angle 8
What is the reason?
Corresponding angles in parallel lines
Angle 2 = Angle 6
What is the reason?
Vertically opposite angles are eqaul
Why is A + B ?
Acute
Obtuse
Reflex
Name the following angles:
Angle less than 90°
Angle between 90° and 180°
Angle between 180° and 360°
10 cm
Pythagoras.
If the Vertical side is 6 cm and the horizontal side is 8 cm, how long is the other side?
Angles on a straight line add up to 180°
so 140° + 40° = 180°
How do you know this is correct?
Triangular prism
Name this shape
Cuboid.
Length x width x height
Name this shape.
How would you work out the volume ?
What is the probability of scoring less than 6 ?
Unlikely
What is the probability that is will be sunny in the UK on Christmas day ?
2
Find the mode of
2 7 9 1 2 7 2 6 2
6
Find the median of
2 4 6 7 9 9 2
1
The mean of these numbers is 6.
What is the missing number ?
2 7 8 12 [ ]
A counter is picked at random.
What is the probability of choosing a B?
Give your answer in its lowest terms
9 - 1 = 8
Find the range of
2 7 9 1 2 7 2 6 2
Translation
¦7¦
¦3¦
A hexagon is moved across 7 units and up 3 units.
Name this transformation.
Reflection in the x axis
Name this transformation
54cm²
This large cube is made up of 1cm³ small cubes.
What is the surface area of the large cube?
Circle radius 5cm
What shape is formed by the locus of points on a plane 5 cm from a fixed point.
090°
(Measure clockwise from North and give the answer a 3 digits)
What is the bearing of East?
¼
Work out (½)²
Positive
Describe this correlation
16
How many vertices does a octagonal prism have ?
Probability (lose) =0.25
A team can win, lose or draw.
Probability (win) = 0.4
Probability (draw) = 0.35
What is the probability that they lose?
4
If a straight line on a graph goes through (0,0) and (2,8), what is the gradient?
Pythagoras:
√(4² - 1.5²)
[3.71]
How could you work out the height of this triangle ?
2 hours 45 minutes
A car enters a car park 11.20 am and leaves at 2.05pm.
How long was is parked?
4 cans 31p each
6 cans 30.5p each
A pack of 4 cans cost £1.24
A pack of 6 cans cost £1.83
Which is better value?
20
If you roll a fair dice 120 times, how many times would you expect to get a 4?
2
Work out -5 - - 7
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