What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
36
1, 2, 3, 4, 6, 9, 12, 18, 36.
Subtract the 5th from the 8th multiples of:
12
36
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) 32.21; 32.2
b) 290343; 290000
c) 0.009795; 0.00980
Find the area of a triangle that has a base of 7cm and a height of 12cm.
42cm2
Find the area of a trapezium that has a base of 17cm, a height of 10cm and a top (parallel to base) of 7cm. 120cm2
Evaluate:
\( \frac{4}{6} + \frac{9}{11}\) \(= 1\frac{16}{33}\)
Evaluate:
\( \frac{3}{4} × \frac{6}{8}\) \(= \frac{9}{16}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{7}{6}\) \(= \frac{9}{14}\)
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.
\( \frac{5}{7}\) \(= 71.4\)%
Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.
28.3cm2
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:
4.9 + 2.7
= 7.6
Calculate the value of:
6.4 − 2.7
= 3.7
Calculate the value of:
4.9 × 6.4
= 31.36
Calculate the value of:
158.4 ÷ 16
= 9.9
What is the value of:
33
= 27
What is the value of:
\(64^{\frac{1}{3}}\)
\(= 4\)
Calculate the value of:
68 + 84
= 152
Calculate the value of:
53 − 25
= 28
Calculate the value of:
24 × 97
= 2328
Calculate the value of:
1314 ÷ 18
= 73
Find the value of:
45% of 260
= 117
Find the value of:
8.61 × 105
= 861000
Find the highest common factor of twelve and four.
= 4
6 × 4 = 24 | 9 × 2 = 18 |
5 × 4 = 20 | 4 × 2 = 8 |
7 × 5 = 35 | 8 × 2 = 16 |
3 × 5 = 15 | 2 × 4 = 8 |
3 × 11 = 33 | 8 × 11 = 88 |
7 × 6 = 42 | 9 × 9 = 81 |
5 × 11 = 55 | 4 × 7 = 28 |
6 × 5 = 30 | 2 × 9 = 18 |
9 × 2 = 18 | 6 × 2 = 12 |
3 × 2 = 6 | 8 × 2 = 16 |
5 × 2 = 10 | 7 × 2 = 14 |
4 × 2 = 8 | 2 × 2 = 4 |
3 × 3 = 9 | 8 × 3 = 24 |
5 × 3 = 15 | 4 × 3 = 12 |
7 × 3 = 21 | 9 × 3 = 27 |
6 × 3 = 18 | 2 × 3 = 6 |
3 × 4 = 12 | 7 × 4 = 28 |
9 × 4 = 36 | 4 × 4 = 16 |
8 × 4 = 32 | 6 × 4 = 24 |
5 × 4 = 20 | 2 × 4 = 8 |
5 × 5 = 25 | 8 × 5 = 40 |
3 × 5 = 15 | 9 × 5 = 45 |
6 × 5 = 30 | 7 × 5 = 35 |
4 × 5 = 20 | 2 × 5 = 10 |
3 × 6 = 18 | 5 × 6 = 30 |
4 × 6 = 24 | 9 × 6 = 54 |
8 × 6 = 48 | 6 × 6 = 36 |
7 × 6 = 42 | 2 × 6 = 12 |
6 × 7 = 42 | 8 × 7 = 56 |
9 × 7 = 63 | 7 × 7 = 49 |
3 × 7 = 21 | 4 × 7 = 28 |
5 × 7 = 35 | 2 × 7 = 14 |
6 × 8 = 48 | 9 × 8 = 72 |
8 × 8 = 64 | 7 × 8 = 56 |
4 × 8 = 32 | 3 × 8 = 24 |
5 × 8 = 40 | 2 × 8 = 16 |
9 × 9 = 81 | 3 × 9 = 27 |
5 × 9 = 45 | 4 × 9 = 36 |
8 × 9 = 72 | 6 × 9 = 54 |
7 × 9 = 63 | 2 × 9 = 18 |
4 × 12 = 48 | 5 × 12 = 60 |
8 × 12 = 96 | 7 × 12 = 84 |
6 × 12 = 72 | 3 × 12 = 36 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{7}{21}\) \(= \frac{1}{3}\)
Evaluate:
\( 2\frac{1}{2} − \frac{3}{4}\) \(= 1\frac{3}{4}\)
Find AB if AC = 4.8m and BC = 6.3m. 4.08m
Find angle ABC if AC = 5.6m and BC = 6.8m. 55.4o
Find AC if angle ABC = 25o and AB = 5.8m. 2.70m
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.
\( \frac{5}{8}\) \(= 0.625\)
Convert this decimal to a fraction.
\(0.25\) = \( \frac{1}{4}\)
Increase £140 by 25%
£175
What is the lowest common multiple of six and twenty four.
= 24
3,12,21,30,39...
Find the:
a) next term; 48
b) nth term; 9n - 6
c) term number 53; 471
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 11; 6291456
If £180 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £28.80
If £200 is invested with an interest rate of 6% compounded annually, find the value of the investment after 8 years. £318.77
If £1 is worth $1.57, convert:
a) £240 to dollars; $376.80
b) $140 to pounds; £89.17
What are the coordinates of the midpoint of the line joining:
\((0,2) \text{ and } (8,14)\)
(4,8)
What is the gradient of the line joining:
\((8,-6) \text{ and } (11,0)\)
2
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,1),(5,4),(-1,4)\)
(2,7)
a) 7 − 12 = -5
b) 7 × (-12) = -84
c) (5−16)(7−17) = 110
d) 84 ÷ (-12) = -7
e) (-5)2 = 25
If p = 5, q = 18 and
r = -9 evaluate:
a) 2q − p = 31
b) pq + r = 81
c) p2 − 5q - r = -56
Solve:
\(4x = 16\)
\(x = 4\)
Solve:
\(3x -5= 1\)
\(x = 2\)
Solve:
\(6x +3= 3x + 15\)
\(x = 4\)
Solve:
\(2(5x +4)+5= 33\)
\(x = 2\)
Solve:
\(5(2x + 2)= 4(3x + 5)\)
\(x = -5\)
Solve:
\(2x-3y = 0\)
\(4x-3y = 12\)
\(x = 6, y = 4\)
Solve:
\(2x-2y = 8\)
\(7x-6y = 30\)
\(x = 6, y = 2\)
Solve:
\(2x+5y = -41\)
\(3x-2y = 24\)
\(x = 2, y = -9\)
Find the union of:
{5,6,7,8,9,10} and
{3,4,5,6,7,8}
{3,4,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{1,3,5,7,9}
∅
A plane flies from point A to point B on a bearing of 287o. What bearing would it return on from B to A? 107o
A number is picked at random from the set
{5,6,7,8,9,10}
what is the probability it is even? \(\frac12\)
Evaluate:
92 − 4 × 3 + 7
76
Simplify the following by collecting like terms:
\(6m+7+5m+8\)
\(11m+15\)
Divide 187 in the ratio
9:8
99 and 88
Draw a rough sketch of the graph of:
\(y=-2x-1\)
Gradient -2
y intercept -1
Express the following number as the product of prime numbers:
24
2 x 2 x 2 x 3
In a sale an item costs £98 after a 30% reduction. What was the original price?
£140
Find the mean, mode, median and range of the following:
5,8,8,6,7,8
Mean = 7, mode = 8,
median = 7.5 and range = 3
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.585858... \(\frac{58}{99}\)
Decrease £180 by 25%
£135
Expand:
\(9(6x-3)\)
\(54x-27\)
Expand:
\((x+3)(3x-2)\)
\(3x^2+7x-6\)
Factorise:
\(25x-15\)
\(5(5x-3)\)
Factorise:
\(x^2-x-12\)
\((x+3)(x-4)\)
Factorise:
\(4x^2+11x-3\)
\((x+3)(4x-1)\)
Which theorem?
Find the value of:
1.33 × 10-5
= 0.0000133
Write in standard form:
1520000
= 1.52 × 106
Write in standard form:
0.0000624
= 6.24 × 10-5
Find the nth term:
\(7, 18, 35, 58, 87, \)
\(3n^2+2n+2\)
Multiply 7 × 102
by 9 × 103 and give the answer in standard form.
= 6.3 × 106
Solve:
\(x^2+x-20= 0\)
\(x = 4\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2-3x-5 = 0\)
\(x = 1.88\) and \(-0.884\)
What is the size of each interior angle of a regular pentagon?
108°
Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$
$$g=h(e-d)$$
Calculate the value of:
5696 ÷ 8
= 712
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the difference between the 5th and the 6th square numbers?
11
What are the next three prime numbers after
47
53, 59, 61
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, 0.8, 8.08, 0.88, 8.8, 8, 0.08, in ascending order.
0.08, 0.8, 0.88, 8, 8.08, 8.8, 8.88,
Write down these lengths: 107cm, 1.08m, 18mm, 1.8m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 21cl, 173ml, 17cl, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
g = 122
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.
Equate board gameHere's a great board game that will give any family with school-aged kids hours of worthwhile fun. Christmas is a time for board games but this one will still be useful at any time of year. Games can be adapted to suit many levels of Mathematical ability. For Maths tutors working with just one or small groups of pupils this game has proved to be an excellent activity for a tutorial. Deciding on the best moves can spark pertinent discussions about mathematical concepts. Equate looks a bit like Scrabble--for aspiring mathematicians, that is. Designed by a real mathematician, it works like this: You put down tiles on a board and make points by correctly completing simple equations. Your nine tiles include both numbers and mathematical symbols; you can add on to previous plays both vertically and horizontally. more... |
 
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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... |
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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 it 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... |
 
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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... Before giving an iPad as a Christmas gift you could add a link to iPad Maths to the home screen. |
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Aristotle's Number PuzzleIt’s a bit of a tradition to give puzzles as Christmas Gifts to nieces and nephews. This puzzle is ideal for the keen puzzle solver who would like a challenge that will continue over the festive period (at least!). This number puzzle involves nineteen numbers arranged into a hexagon. The goal of the puzzle is to rearrange the numbers so each of the fifteen rows add up to 38. It comes in a wooden style with an antique, aged look. Keep the Maths in Christmaths with this reasonably priced stocking filler. more... |
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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... |
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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... |
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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... |
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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... |
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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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Teacher:
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