What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17
Find all the factors of:
50
1, 2, 5, 10, 25, 50.
Subtract the 6th from the 11th multiples of:
3
15
What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.
Octagon, Nonagon and Decagon (all regular)
Round to three significant figures:
a) 20.75; 20.8
b) 286016; 286000
c) 34; 34.0
d) 0.003495; 0.00350
Find the area of a triangle that has a base of 4cm and a height of 7cm.
14cm2
Find the area of a trapezium that has a base of 15cm, a height of 12cm and a top (parallel to base) of 7cm. 132cm2
Evaluate:
\( \frac{4}{5} + \frac{7}{8}\) \(= 1\frac{27}{40}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{7}\) \(= \frac{15}{28}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{8}{6}\) \(= \frac{9}{16}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage to 3 significant figures.
\( \frac{1}{6}\) \(= 16.7\)%
Find the area of a circle that has a radius of 6cm. Give your answer to three significant figures.
113cm2
Find the circumference of a circle that has a radius of 10cm. Give your answer to three significant figures.
62.8cm
Calculate the value of:
5.7 + 2.8
= 8.5
Calculate the value of:
5.2 − 3.7
= 1.5
Calculate the value of:
9.9 × 9.9
= 98.01
Calculate the value of:
47.6 ÷ 17
= 2.8
What is the value of:
43
= 64
What is the value of:
\(3^{0}\)
\(= 1\)
Calculate the value of:
97 + 64
= 161
Calculate the value of:
74 − 26
= 48
Calculate the value of:
42 × 82
= 3444
Calculate the value of:
952 ÷ 17
= 56
Find the value of:
15% of 280
= 42
Find the value of:
4.02 × 104
= 40200
Find the highest common factor of forty and fifteen.
= 5
7 × 3 = 21 | 9 × 2 = 18 |
8 × 4 = 32 | 5 × 5 = 25 |
6 × 5 = 30 | 3 × 3 = 9 |
4 × 3 = 12 | 2 × 4 = 8 |
6 × 12 = 72 | 3 × 5 = 15 |
4 × 2 = 8 | 5 × 4 = 20 |
7 × 5 = 35 | 8 × 5 = 40 |
9 × 4 = 36 | 2 × 10 = 20 |
3 × 2 = 6 | 6 × 2 = 12 |
7 × 2 = 14 | 8 × 2 = 16 |
4 × 2 = 8 | 9 × 2 = 18 |
5 × 2 = 10 | 2 × 2 = 4 |
3 × 3 = 9 | 8 × 3 = 24 |
6 × 3 = 18 | 4 × 3 = 12 |
9 × 3 = 27 | 7 × 3 = 21 |
5 × 3 = 15 | 2 × 3 = 6 |
4 × 4 = 16 | 7 × 4 = 28 |
6 × 4 = 24 | 9 × 4 = 36 |
3 × 4 = 12 | 8 × 4 = 32 |
5 × 4 = 20 | 2 × 4 = 8 |
6 × 5 = 30 | 9 × 5 = 45 |
8 × 5 = 40 | 5 × 5 = 25 |
3 × 5 = 15 | 7 × 5 = 35 |
4 × 5 = 20 | 2 × 5 = 10 |
6 × 6 = 36 | 9 × 6 = 54 |
8 × 6 = 48 | 3 × 6 = 18 |
5 × 6 = 30 | 4 × 6 = 24 |
7 × 6 = 42 | 2 × 6 = 12 |
3 × 7 = 21 | 9 × 7 = 63 |
4 × 7 = 28 | 7 × 7 = 49 |
5 × 7 = 35 | 6 × 7 = 42 |
8 × 7 = 56 | 2 × 7 = 14 |
6 × 8 = 48 | 7 × 8 = 56 |
9 × 8 = 72 | 3 × 8 = 24 |
4 × 8 = 32 | 5 × 8 = 40 |
8 × 8 = 64 | 2 × 8 = 16 |
5 × 9 = 45 | 8 × 9 = 72 |
3 × 9 = 27 | 6 × 9 = 54 |
4 × 9 = 36 | 7 × 9 = 63 |
9 × 9 = 81 | 2 × 9 = 18 |
4 × 12 = 48 | 7 × 12 = 84 |
8 × 12 = 96 | 5 × 12 = 60 |
9 × 12 = 108 | 6 × 12 = 72 |
3 × 12 = 36 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{9}{12}\) \(= \frac{3}{4}\)
Evaluate:
\( 2\frac{3}{4} − \frac{7}{8}\) \(= 1\frac{7}{8}\)
Find AB if AC = 5.6m and BC = 6.7m. 3.68m
Find angle BCA if AC = 3m and BC = 4.4m. 47.0o
Find AC if angle ABC = 44o and BC = 5.4m. 3.75m
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.
\( \frac{4}{7}\) \(= 0.571\)
Convert this decimal to a fraction.
\(0.76\) = \( \frac{19}{25}\)
Increase £160 by 5%
£168
What is the lowest common multiple of nine and twenty four.
= 72
7,21,35,49,63...
Find the:
a) next term; 77
b) nth term; 14n - 7
c) term number 37; 511
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 9; 768
If £140 is invested for 6 years with a simple interest rate of 6%, find the amount of interest earned. £50.40
If £100 is invested with an interest rate of 2% compounded annually, find the value of the investment after 8 years. £117.17
If £1 is worth $1.29, convert:
a) £160 to dollars; $206.40
b) $160 to pounds; £124.03
What are the coordinates of the midpoint of the line joining:
\((-6,2) \text{ and } (4,12)\)
(-1,7)
What is the gradient of the line joining:
\((4,4) \text{ and } (8,9)\)
\(\frac{5}{4}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,1),(8,5),(1,4)\)
(4,8)
a) 6 − 12 = -6
b) 6 × (-5) = -30
c) (5−11)(11−21) = 60
d) 30 ÷ (-5) = -6
e) (-11)2 = 121
If p = 5, q = 17 and
r = -9 evaluate:
a) 2q − p = 29
b) pq + r = 76
c) p2 − 5q - r = -51
Solve:
\(3x = 27\)
\(x = 9\)
Solve:
\(5x +7= 47\)
\(x = 8\)
Solve:
\(3x +6= 2x + 13\)
\(x = 7\)
Solve:
\(5(5x -3)-5= 155\)
\(x = 7\)
Solve:
\(4(2x + 3)= 3(2x + 3)\)
\(x = -1.5\)
Solve:
\(6x-5y = -17\)
\(5x+5y = 50\)
\(x = 3, y = 7\)
Solve:
\(3x-3y = -12\)
\(5x-6y = -27\)
\(x = 3, y = 7\)
Solve:
\(5x-3y = 13\)
\(3x+2y = 42\)
\(x = 8, y = 9\)
Find the union of:
{5,6,7,8,9,10} and
{2,3,5,7,11,13}
{2,3,5,6,7,8,9,10,11,13}
Find the intersection of:
{5,6,7,8,9,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 068o. What bearing would it return on from B to A? 248o
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
(19 − 5)2 + 6 × 7
238
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 35 in the ratio
3:4
15 and 20
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:
216
2 x 2 x 2 x 3 x 3 x 3
In a sale an item costs £144 after a 10% reduction. What was the original price?
£160
Find the mean, mode, median and range of the following:
7,7,2,7,7
Mean = 6, mode = 7,
median = 7 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.838383... \(\frac{83}{99}\)
Decrease £40 by 30%
£28
Expand:
\(8(3x-2)\)
\(24x-16\)
Expand:
\((x+3)(4x-4)\)
\(4x^2+8x-12\)
Factorise:
\(14x-12\)
\(2(7x-6)\)
Factorise:
\(x^2-x-12\)
\((x+3)(x-4)\)
Factorise:
\(3x^2+11x-4\)
\((x+4)(3x-1)\)
Which theorem?
Find the value of:
3.95 × 10-2
= 0.0395
Write in standard form:
664000
= 6.64 × 105
Write in standard form:
0.0000848
= 8.48 × 10-5
Find the nth term:
\(15, 24, 37, 54, 75, \)
\(2n^2+3n+10\)
Multiply 4 × 105
by 8 × 106 and give the answer in standard form.
= 3.2 × 1012
Solve:
\(x^2-x-20= 0\)
\(x = 5\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2+3x-1 = 0\)
\(x = 0.239\) and \(-0.839\)
What is the size of each interior angle of a regular decagon?
144°
Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$
$$j=\frac{bc}{3}+4$$
Calculate the value of:
5538 ÷ 6
= 923
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What are the three largest square numbers less than
144
121, 100, 81
What are the next three prime numbers after
19
23, 29, 31
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: 4.44, 4.4, 0.4, 4, 4.04, 0.44, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
Write down these lengths: 17cm, 107cm, 1.08m, 18mm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 17cl, 173ml, 21cl, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
b = 48
Round to one significant figure:
a) 42.62; 40
b) 896058; 900000
c) 82; 80
d) 0.00253; 0.003
Topics: Starter | Algebra | Arithmetic | Circles | Coordinates | Fractions | Mental Methods | Mixed | Money | Sets | Simultaneous Equations | Tables | Trigonometry
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Christmas Present Ideas
It is often very difficult choosing Christmas presents for family and friends but so here are some seasonal, mathematics-related gifts chosen and recommended by Transum Mathematics.
Go Genius MathsTransform maths practice into an exciting adventure with Go Genius Maths! This award-winning board game is designed to make learning maths enjoyable and engaging for children aged 7 and above. Perfect for family game nights or classroom activities, Go Genius Maths helps players develop essential arithmetic skills while having heaps of fun. Whether you’re looking for a gift to inspire young minds or a tool to supplement maths education, Go Genius Maths is the ultimate choice. Spark curiosity, nurture mathematical talent, and turn learning into an unforgettable journey! |
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How Not To Be WrongThe maths we learn in school can seem like an abstract set of rules, laid down by the ancients and not to be questioned. In fact, Jordan Ellenberg shows us, maths touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the world's messy and chaotic surface. In How Not to be Wrong, Ellenberg explores the mathematician's method of analyzing life, from the everyday to the cosmic, showing us which numbers to defend, which ones to ignore, and when to change the equation entirely. Along the way, he explains calculus in a single page, describes Gödel's theorem using only one-syllable words, and reveals how early you actually need to get to the airport. What more could the inquisitive adult want for Christmas? This book makes a cosy, interesting read in front of the fire on those cold winter evenings. more... #ad |
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Graphic Display CalculatorThis handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others. For the young people in your life this is a great investment. Bought as a Christmas present but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more... #ad |
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Apple iPad ProThe analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone. The redesigned Retina display is as stunning to look at as it is to touch. It all comes with iOS, the world's most advanced mobile operating system. iPad Pro. Everything you want modern computing to be. more... #ad Before giving an iPad as a Christmas gift you could add a link to iPad Maths to the home screen. |
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Craig Barton's Tips for TeachersTeaching is complex. But there are simple ideas we can enact to help our teaching be more effective. This book contains over 400 such ideas." more... #ad "The ideas come from two sources. First, from the wonderful guests on his Tips for Teachers podcast - education heavyweights such as Dylan Wiliam, Daisy Christodoulou and Tom Sherrington, as well as talented teachers who are not household names but have so much wisdom to share. Then there's what he has learned from working with amazing teachers and students in hundreds of schools around the world. |
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The Story Of Maths [DVD]The films in this ambitious series offer clear, accessible explanations of important mathematical ideas but are also packed with engaging anecdotes, fascinating biographical details, and pivotal episodes in the lives of the great mathematicians. Engaging, enlightening and entertaining, the series gives viewers new and often surprising insights into the central importance of mathematics, establishing this discipline to be one of humanity s greatest cultural achievements. This DVD contains all four programmes from the BBC series. Marcus du Sautoy's wonderful programmes make a perfect Christmas gift more... #ad |
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Christmas MathsThis book provides a wealth of fun activities with a Christmas theme. Each photocopiable worksheet is matched to the Numeracy Strategy and compatible with the Scottish 5-14 Guidelines. This series is designed for busy teachers in the late Autumn term who are desperate for materials that are relevant and interesting and that can be completed with minimun supervision. All the activities are suitable for use by class teachers, supply teachers, SEN teachers and classroom assistants and cover topics such as 'How many partridges did the true love give all together?' and 'Filling a sleigh with presents by rolling a dice!'. Children will have lots of fun working through the Christmas Maths themes but also gain valuable skills along the way. A great source of ideas and another reasonably priced stocking filler. more... #ad |
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A Compendium Of Mathematical MethodsHow many different methods do you know to solve simultaneous equations? To multiply decimals? To find the nth term of a sequence? A Compendium of Mathematical Methods brings together over one hundred different approaches from classrooms all over the world, giving curious mathematicians the opportunity to explore fascinating methods that they've never before encountered. If you teach mathematics to any age group in any country, you are guaranteed to learn lots of new things from this delightful book. It will deepen your subject knowledge and enhance your teaching, whatever your existing level of expertise. It will inspire you to explore new approaches with your pupils and provide valuable guidance on explanations and misconceptions. more... #ad |
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Math with Bad DrawingsI had been tutoring the wonderful Betsy for five years. When the day came for our last ever session together before the end of her Year 13, I received this beautiful book as a gift of appreciation. This a very readable book by Ben Orlin. I'm really enjoying the humour in the writing and the drawings are great. Ben Orlin answers maths' three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that mathematics should belong to everyone. more... #ad |
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Click the images above to see all the details of these gift ideas and to buy them online.
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Educational Technology on Amazon
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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=April9 However it would be better to assign one of the student interactive activities below. |
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Here is the URL which will take them to a related student activity.
Try this Uniqueness Game with your class.
Here's a projectable set of randomly-selected revision questions for the end of the lesson.
Teacher:
Scroll down the
page to see how
this Starter can be customised so that it
is just right for
your class.
