What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17
Find all the factors of:
45
1, 3, 5, 9, 15, 45.
Subtract the 5th from the 10th multiples of:
9
45
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round to three significant figures:
a) 91.08; 91.1
b) 448695; 449000
c) 65; 65.0
d) 0.006595; 0.00660
Find the area of a triangle that has a base of 5cm and a height of 9cm.
22.5cm2
Find the area of a trapezium that has a base of 13cm, a height of 5cm and a top (parallel to base) of 7cm. 50cm2
Evaluate:
\( \frac{2}{3} + \frac{5}{7}\) \(= 1\frac{8}{21}\)
Evaluate:
\( \frac{2}{4} × \frac{5}{7}\) \(= \frac{5}{14}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{6}{4}\) \(= \frac{2}{9}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{5}{8}\) \(= 62.5\)%
Find the area of a circle that has a radius of 7cm. Give your answer to three significant figures.
154cm2
Find the circumference of a circle that has a radius of 11cm. Give your answer to three significant figures.
69.1cm
Calculate the value of:
4.7 + 5.5
= 10.2
Calculate the value of:
6.4 − 2.8
= 3.6
Calculate the value of:
5.9 × 4.4
= 25.96
Calculate the value of:
68.4 ÷ 12
= 5.7
What is the value of:
12
= 1
What is the value of:
\(4^{0}\)
\(= 1\)
Calculate the value of:
79 + 64
= 143
Calculate the value of:
83 − 26
= 57
Calculate the value of:
83 × 58
= 4814
Calculate the value of:
836 ÷ 19
= 44
Find the value of:
80% of 140
= 112
Find the value of:
5.16 × 106
= 5160000
Find the highest common factor of twenty four and twelve.
= 12
6 × 5 = 30 | 8 × 3 = 24 |
9 × 4 = 36 | 7 × 4 = 28 |
3 × 5 = 15 | 5 × 2 = 10 |
4 × 5 = 20 | 2 × 5 = 10 |
4 × 6 = 24 | 6 × 9 = 54 |
9 × 8 = 72 | 8 × 8 = 64 |
7 × 4 = 28 | 5 × 2 = 10 |
3 × 4 = 12 | 2 × 5 = 10 |
8 × 2 = 16 | 3 × 2 = 6 |
7 × 2 = 14 | 6 × 2 = 12 |
9 × 2 = 18 | 5 × 2 = 10 |
4 × 2 = 8 | 2 × 2 = 4 |
7 × 3 = 21 | 3 × 3 = 9 |
9 × 3 = 27 | 5 × 3 = 15 |
6 × 3 = 18 | 8 × 3 = 24 |
4 × 3 = 12 | 2 × 3 = 6 |
3 × 4 = 12 | 8 × 4 = 32 |
7 × 4 = 28 | 6 × 4 = 24 |
5 × 4 = 20 | 9 × 4 = 36 |
4 × 4 = 16 | 2 × 4 = 8 |
4 × 5 = 20 | 3 × 5 = 15 |
6 × 5 = 30 | 5 × 5 = 25 |
7 × 5 = 35 | 8 × 5 = 40 |
9 × 5 = 45 | 2 × 5 = 10 |
7 × 6 = 42 | 8 × 6 = 48 |
4 × 6 = 24 | 5 × 6 = 30 |
9 × 6 = 54 | 6 × 6 = 36 |
3 × 6 = 18 | 2 × 6 = 12 |
4 × 7 = 28 | 7 × 7 = 49 |
9 × 7 = 63 | 6 × 7 = 42 |
5 × 7 = 35 | 8 × 7 = 56 |
3 × 7 = 21 | 2 × 7 = 14 |
3 × 8 = 24 | 8 × 8 = 64 |
6 × 8 = 48 | 9 × 8 = 72 |
4 × 8 = 32 | 7 × 8 = 56 |
5 × 8 = 40 | 2 × 8 = 16 |
8 × 9 = 72 | 3 × 9 = 27 |
9 × 9 = 81 | 7 × 9 = 63 |
4 × 9 = 36 | 5 × 9 = 45 |
6 × 9 = 54 | 2 × 9 = 18 |
5 × 12 = 60 | 6 × 12 = 72 |
9 × 12 = 108 | 8 × 12 = 96 |
4 × 12 = 48 | 3 × 12 = 36 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{18}\) \(= \frac{2}{3}\)
Evaluate:
\( 2\frac{4}{5} − \frac{8}{9}\) \(= 1\frac{41}{45}\)
Find BC if AB = 4.5m and AC = 6.5m. 7.91m
Find angle BCA if AB = 4.9m and AC = 6.8m. 35.8o
Find AC if angle ABC = 66o and AB = 4.7m. 10.6m
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Convert this fraction to a decimal.
\( \frac{1}{2}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.9\) = \( \frac{9}{10}\)
Increase £20 by 30%
£26
What is the lowest common multiple of six and twenty four.
= 24
4,15,26,37,48...
Find the:
a) next term; 59
b) nth term; 11n - 7
c) term number 30; 323
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 9; 1024
If £200 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £32.00
If £240 is invested with an interest rate of 2% compounded annually, find the value of the investment after 7 years. £275.68
If £1 is worth $1.39, convert:
a) £120 to dollars; $166.80
b) $140 to pounds; £100.72
What are the coordinates of the midpoint of the line joining:
\((5,4) \text{ and } (17,16)\)
(11,10)
What is the gradient of the line joining:
\((7,-1) \text{ and } (11,3)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,5),(6,11),(-4,9)\)
(0,15)
a) 11 − 21 = -10
b) 11 × (-10) = -110
c) (10−21)(10−20) = 110
d) 110 ÷ (-10) = -11
e) (-5)2 = 25
If p = 5, q = 26 and
r = -6 evaluate:
a) 2q − p = 47
b) pq + r = 124
c) p2 − 5q - r = -99
Solve:
\(5x = 30\)
\(x = 6\)
Solve:
\(3x -5= 4\)
\(x = 3\)
Solve:
\(11x -5= 6x + 25\)
\(x = 6\)
Solve:
\(4(5x +4)+10= 106\)
\(x = 4\)
Solve:
\(2(5x + 2)= 3(5x + 2)\)
\(x = -0.4\)
Solve:
\(2x-3y = -8\)
\(3x+3y = 33\)
\(x = 5, y = 6\)
Solve:
\(4x+3y = 24\)
\(7x-9y = -15\)
\(x = 3, y = 4\)
Solve:
\(5x+3y = 52.5\)
\(3x-2y = 22\)
\(x = 9, y = 2.5\)
Find the union of:
{2,4,6,8,10} and
{1,3,5,7,9}
{1,2,3,4,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{6,7,8,9,10}
{6,8,10}
A plane flies from point A to point B on a bearing of 281o. What bearing would it return on from B to A? 101o
A number is picked at random from the set
{1,3,5,7,9}
what is the probability it is even? 0
Evaluate:
8 + (2 × 62 − 9)
71
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 143 in the ratio
5:6
65 and 78
Draw a rough sketch of the graph of:
\(y=x\)
Gradient 1
y intercept 0
Express the following number as the product of prime numbers:
6
2 x 3
In a sale an item costs £128 after a 20% reduction. What was the original price?
£160
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.333333... \(\frac{1}{3}\)
Decrease £60 by 35%
£39
Expand:
\(7(5x-2)\)
\(35x-14\)
Expand:
\((4x+3)(2x-3)\)
\(8x^2-6x-9\)
Factorise:
\(63x-36\)
\(9(7x-4)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Factorise:
\(3x^2-x-4\)
\((x+1)(3x-4)\)
Which theorem?
Find the value of:
1.62 × 10-3
= 0.00162
Write in standard form:
40500
= 4.05 × 104
Write in standard form:
0.0793
= 7.93 × 10-2
Find the nth term:
\(6, 12, 20, 30, 42, \)
\(n^2+3n+2\)
Multiply 6 × 105
by 5 × 103 and give the answer in standard form.
= 3 × 109
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2-5x+1 = 0\)
\(x = 2.28\) and \(0.219\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(b\) the subject of the formula
$$c=3b-5$$
$$b=\frac{c+5}{3}$$
Calculate the value of:
534 ÷ 2
= 267
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the square root of
64
8
What are the three largest prime numbers less than
37
31, 29, 23
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Calculate \(x\).
Write down these numbers: 8.88, 8.08, 8.8, 8, 0.88, 0.8, 0.08, in ascending order.
0.08, 0.8, 0.88, 8, 8.08, 8.8, 8.88,
Write down these lengths: 17cm, 107cm, 1.8m, 18mm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 173ml, 18cl, 21cl, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
e = 69
h = 75
Round to one significant figure:
a) 79.34; 80
b) 122314; 100000
c) 13; 10
d) 0.00376; 0.004
Round each value to one significant figure to make an estimate:$$(171 + 8.7) \div 19$$\((200 + 9) \div 20 = 10.45\)
A pie chart shows the colours of 10 books. What sector angle represents the
4 red books?
144°
What is the equation?
\(x=2\)A pie chart shows the colours of 120 hats. How many green hats are represented
by a sector
angle of 288°?
96
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A similar Starter with the same questions listed by topic is called Refreshing Revision. This will be a better option for you if you want a more structured way to choose the questions presented to your class. This page also allows you to save your choices.
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=October10 However it would be better to assign one of the student interactive activities below. |
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