What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
42
1, 2, 3, 6, 7, 14, 21, 42.
Subtract the 7th from the 11th multiples of:
6
24
What are the names of regular polygons with:
a) four sides;
b) five sides;
c) six sides.
Square, Pentagon and Hexagon (all regular)
Round the following numbers to three significant figures:
a) 23.57; 23.6
b) 819897; 820000
c) 0.009895; 0.00990
Find the area of a triangle that has a base of 5cm and a height of 8cm.
20cm^{2}
Find the area of a trapezium that has a base of 13cm, a height of 6cm and a top (parallel to base) of 3cm. 48cm^{2}
Evaluate:
\( \frac{2}{3} + \frac{5}{8}\) \(= 1\frac{7}{24}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{5}\) \(= \frac{3}{10}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{7}{5}\) \(= \frac{5}{14}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{5}\) \(= 80\)%
Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
3.14cm^{2}
Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.
44.0cm^{2}
Calculate the value of:
9.7 + 9.4
= 19.1
Calculate the value of:
7.4 − 4.7
= 2.7
Calculate the value of:
7.3 × 4.5
= 32.85
Calculate the value of:
91.2 ÷ 16
= 5.7
What is the value of:
3^{2}
= 9
What is the value of:
4^{3}
= 0.015625
Calculate the value of:
98 + 38
= 136
Calculate the value of:
73 − 28
= 45
Calculate the value of:
89 × 49
= 4361
Calculate the value of:
2128 ÷ 28
= 76
Find the value of:
10% of 80
= 8
Find the value of:
2.48 × 10^{4}
= 24800
Find the highest common factor of fourteen and six.
= 2
8 × 3 = 24  3 × 2 = 6 
6 × 5 = 30  7 × 5 = 35 
9 × 5 = 45  5 × 5 = 25 
4 × 3 = 12  2 × 2 = 4 
9 × 8 = 72  6 × 7 = 42 
3 × 11 = 33  8 × 12 = 96 
7 × 10 = 70  4 × 5 = 20 
5 × 11 = 55  2 × 5 = 10 
5 × 2 = 10  4 × 2 = 8 
7 × 2 = 14  8 × 2 = 16 
3 × 2 = 6  6 × 2 = 12 
9 × 2 = 18  2 × 2 = 4 
9 × 3 = 27  4 × 3 = 12 
6 × 3 = 18  5 × 3 = 15 
7 × 3 = 21  3 × 3 = 9 
8 × 3 = 24  2 × 3 = 6 
3 × 4 = 12  8 × 4 = 32 
6 × 4 = 24  9 × 4 = 36 
7 × 4 = 28  4 × 4 = 16 
5 × 4 = 20  2 × 4 = 8 
3 × 5 = 15  5 × 5 = 25 
8 × 5 = 40  7 × 5 = 35 
4 × 5 = 20  9 × 5 = 45 
6 × 5 = 30  2 × 5 = 10 
7 × 6 = 42  3 × 6 = 18 
8 × 6 = 48  9 × 6 = 54 
5 × 6 = 30  6 × 6 = 36 
4 × 6 = 24  2 × 6 = 12 
4 × 7 = 28  6 × 7 = 42 
5 × 7 = 35  9 × 7 = 63 
8 × 7 = 56  7 × 7 = 49 
3 × 7 = 21  2 × 7 = 14 
6 × 8 = 48  3 × 8 = 24 
4 × 8 = 32  7 × 8 = 56 
8 × 8 = 64  5 × 8 = 40 
9 × 8 = 72  2 × 8 = 16 
6 × 9 = 54  8 × 9 = 72 
4 × 9 = 36  9 × 9 = 81 
7 × 9 = 63  3 × 9 = 27 
5 × 9 = 45  2 × 9 = 18 
7 × 12 = 84  9 × 12 = 108 
4 × 12 = 48  5 × 12 = 60 
8 × 12 = 96  6 × 12 = 72 
3 × 12 = 36  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{32}{56}\) \(= \frac{4}{7}\)
Evaluate:
\( 2\frac{1}{2} − \frac{5}{6}\) \(= 1\frac{2}{3}\)
Find BC if AB = 3.6m and AC = 5.6m. 6.66m
Find angle ABC if AB = 3m and BC = 4.9m. 52.2^{o}
Find AB if angle ABC = 32^{o} and BC = 3.4m. 2.88m
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 to 3 significant figures.
\( \frac{4}{6}\) \(= 0.667\)
Convert this decimal to a fraction.
\(0.7\) = \( \frac{7}{10}\)
Increase £80 by 20%
£96
What is the lowest common multiple of four and sixteen.
= 16
3,12,21,30,39...
Find the:
a) next term; 48
b) n^{th} term; 9n  6
c) term number 33; 291
7,28,112,448,1792...
Find the:
a) next term; 7168
b) n^{th} term; 7 × 4^{n1}
c) term number 12; 29360128
If £100 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £16.00
If £100 is invested with an interest rate of 5% compounded annually, find the value of the investment after 4 years. £121.55
If £1 is worth $1.51, convert:
a) £120 to dollars; $181.20
b) $180 to pounds; £79.47
What are the coordinates of the midpoint of the line joining:
\((4,6) \text{ and } (6,6)\)
(1,0)
What is the gradient of the line joining:
\((3,6) \text{ and } (9,12)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((5,1),(8,4),(2,4)\)
(5,7)
a) 11 − 22 = 11
b) 11 × (11) = 121
c) (12−17)(8−13) = 25
d) 121 ÷ (11) = 11
e) (6)^{2} = 36
If p = 6, q = 28 and
r = 12 evaluate:
a) 2q − p = 50
b) pq + r = 156
c) p^{2} − 5q  r = 92
Solve:
\(3x = 12\)
\(x = 4\)
Solve:
\(2x +8= 14\)
\(x = 3\)
Solve:
\(3x 5= 2x + 0\)
\(x = 5\)
Solve:
\(5(3x 6)+12= 117\)
\(x = 9\)
Solve:
\(4(3x + 2)= 5(3x + 3)\)
\(x = 2.33 \text{(to 3 sf)}\)
Solve:
\(3x+4y = 40\)
\(2x4y = 20\)
\(x = 4, y = 7\)
Solve:
\(2x4y = 8\)
\(2x+16y = 72\)
\(x = 4, y = 4\)
Solve:
\(5x+6y = 14.5\)
\(3x7y = 92\)
\(x = 8.5, y = 9.5\)
Find the union of:
{2,4,6,8,10} and
{1,3,6,10,15}
{1,2,3,4,6,8,10,15}
Find the intersection of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{6,8,10}
A plane flies from point A to point B on a bearing of 154^{o}. What bearing would it return on from B to A? 334^{o}
A number is picked at random from the set
{1,3,5,7,9}
what is the probability it is even? 0
Evaluate:
7 + (7 × 5^{2} − 9)
173
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 120 in the ratio
3:5
45 and 75
Draw a rough sketch of the graph of:
\(y=2x+2\)
Gradient 2
y intercept 2
Express the following number as the product of prime numbers:
38
2 x 19
In a sale an item costs £144 after a 20% reduction. What was the original price?
£180
Find the mean, mode, median and range of the following:
2,6,12,6,14
Mean = 8, mode = 6,
median = 6 and range = 12
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.939393... \(\frac{31}{33}\)
Decrease £180 by 15%
£153
Expand:
\(6(8x6)\)
\(48x36\)
Expand:
\((4x+4)(x2)\)
\(4x^24x8\)
Factorise:
\(3x3\)
\(3(x1)\)
Factorise:
\(x^2+2x3\)
\((x+3)(x1)\)
Factorise:
\(9x^23x2\)
\((3x+1)(3x2)\)
Which theorem?
Find the value of:
9.67 × 10^{3}
= 0.00967
Write in standard form:
7550000
= 7.55 × 10^{6}
Write in standard form:
0.00613
= 6.13 × 10^{3}
Find the n^{th} term:
\(11, 22, 37, 56, 79, \)
\(2n^2+5n+4\)
Multiply 8 × 10^{6}
by 7 × 10^{4} and give the answer in standard form.
= 5.6 × 10^{11}
Solve:
\(x^2+2x15= 0\)
\(x = 3\) and \(5\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+x2 = 0\)
\(x = 0.781\) and \(1.28\)
What is the size of each interior angle of a regular octagon?
135°
Make \(a\) the subject of the formula
$$b=2a3$$
$$a=\frac{b+3}{2}$$
Calculate the value of:
7080 ÷ 8
= 885
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
What are the three largest square numbers less than
64
49, 36, 25
What is the 8th prime number?
19
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Topics: Starter  Algebra  Arithmetic  Circles  Coordinates  Fractions  Mental Methods  Mixed  Money  Sets  Simultaneous Equations  Tables  Trigonometry
How did you use this starter? Can you suggest
how teachers could present or develop this resource? Do you have any comments? It is always useful to receive
feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.
If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:
This starter has scored a mean of 3.3 out of 5 based on 520 votes.
Previous Day  This starter is for 9 April  Next Day
Tick (or untick) the boxes above to select the concepts you want to be included in this Starter. The display at the top of this page will change instantly to show your choices. You can also drag the panels above so that the questions are ordered to meet your needs.
This Starter is called Refreshing Revision because every time you refresh the page you get different revision questions.
Regularly use this Starter to keep that important learning from being forgotten. Here is the web address (URL) for the version of this page with your currently selected concepts:
Copy and paste the URL above into your lesson plan or scheme of work.
For more ideas on revision there are plenty of tips, suggestions and links on the Mathematics Revision page.
Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.
Have you read Craig's book yet?Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more... "How I wish I'd taught Maths" is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL. 
Casio Classwiz CalculatorThere is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a highresolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app). As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols! This calculator has a highperformance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more... 
Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to a related student activity.
Teacher:
Scroll down the
page to see how
this Starter can be customised so that it
is just right for
your class.