What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
38
1, 2, 19, 38.
Subtract the 5th from the 8th multiples of:
12
36
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round the following numbers to three significant figures:
a) 11.49; 11.5
b) 639518; 640000
c) 0.001595; 0.00160
Find the area of a triangle that has a base of 7cm and a height of 12cm.
42cm^{2}
Find the area of a trapezium that has a base of 16cm, a height of 9cm and a top (parallel to base) of 6cm. 99cm^{2}
Evaluate:
\( \frac{2}{5} + \frac{6}{9}\) \(= 1\frac{1}{15}\)
Evaluate:
\( \frac{2}{4} × \frac{5}{6}\) \(= \frac{5}{12}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{8}{6}\) \(= \frac{3}{8}\)
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.
\( \frac{4}{6}\) \(= 66.7\)%
Find the area of a circle that has a radius of 10cm. Give your answer to three significant figures.
314cm^{2}
Find the circumference of a circle that has a radius of 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
2.7 + 4.5
= 7.2
Calculate the value of:
7.2 − 4.5
= 2.7
Calculate the value of:
3.4 × 5.3
= 18.02
Calculate the value of:
142.5 ÷ 15
= 9.5
What is the value of:
1^{3}
= 1
What is the value of:
\(2^{1}\)
\(= 2\)
Calculate the value of:
77 + 56
= 133
Calculate the value of:
62 − 25
= 37
Calculate the value of:
84 × 98
= 8232
Calculate the value of:
1425 ÷ 15
= 95
Find the value of:
5% of 80
= 4
Find the value of:
5.99 × 10^{5}
= 599000
Find the highest common factor of fourteen and ten.
= 2
5 × 3 = 15  4 × 2 = 8 
6 × 5 = 30  7 × 5 = 35 
3 × 5 = 15  8 × 4 = 32 
9 × 3 = 27  2 × 2 = 4 
9 × 2 = 18  6 × 5 = 30 
3 × 4 = 12  4 × 7 = 28 
8 × 8 = 64  5 × 9 = 45 
7 × 10 = 70  2 × 7 = 14 
8 × 2 = 16  3 × 2 = 6 
6 × 2 = 12  5 × 2 = 10 
7 × 2 = 14  4 × 2 = 8 
9 × 2 = 18  2 × 2 = 4 
9 × 3 = 27  7 × 3 = 21 
8 × 3 = 24  3 × 3 = 9 
4 × 3 = 12  6 × 3 = 18 
5 × 3 = 15  2 × 3 = 6 
9 × 4 = 36  4 × 4 = 16 
6 × 4 = 24  5 × 4 = 20 
3 × 4 = 12  8 × 4 = 32 
7 × 4 = 28  2 × 4 = 8 
7 × 5 = 35  5 × 5 = 25 
4 × 5 = 20  8 × 5 = 40 
6 × 5 = 30  9 × 5 = 45 
3 × 5 = 15  2 × 5 = 10 
9 × 6 = 54  8 × 6 = 48 
3 × 6 = 18  7 × 6 = 42 
6 × 6 = 36  5 × 6 = 30 
4 × 6 = 24  2 × 6 = 12 
5 × 7 = 35  7 × 7 = 49 
4 × 7 = 28  6 × 7 = 42 
3 × 7 = 21  9 × 7 = 63 
8 × 7 = 56  2 × 7 = 14 
5 × 8 = 40  8 × 8 = 64 
6 × 8 = 48  4 × 8 = 32 
3 × 8 = 24  9 × 8 = 72 
7 × 8 = 56  2 × 8 = 16 
4 × 9 = 36  9 × 9 = 81 
7 × 9 = 63  8 × 9 = 72 
5 × 9 = 45  6 × 9 = 54 
3 × 9 = 27  2 × 9 = 18 
4 × 12 = 48  7 × 12 = 84 
5 × 12 = 60  8 × 12 = 96 
6 × 12 = 72  9 × 12 = 108 
3 × 12 = 36  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{35}{42}\) \(= \frac{5}{6}\)
Evaluate:
\( 2\frac{3}{4} − \frac{7}{8}\) \(= 1\frac{7}{8}\)
Find AC if AB = 4.7m and BC = 6.6m. 4.63m
Find angle BCA if AB = 3.3m and BC = 5m. 41.3^{o}
Find AB if angle ABC = 36^{o} and BC = 3.8m. 3.07m
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.
\( \frac{5}{10}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.58\) = \( \frac{29}{50}\)
Increase £40 by 35%
£54
What is the lowest common multiple of six and fourteen.
= 42
3,10,17,24,31...
Find the:
a) next term; 38
b) n^{th} term; 7n  4
c) term number 33; 227
5,15,45,135,405...
Find the:
a) next term; 1215
b) n^{th} term; 5 × 3^{n1}
c) term number 12; 885735
If £140 is invested for 8 years with a simple interest rate of 3%, find the amount of interest earned. £33.60
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 $1.48, convert:
a) £200 to dollars; $296.00
b) $120 to pounds; £81.08
What are the coordinates of the midpoint of the line joining:
\((7,9) \text{ and } (3,21)\)
(2,15)
What is the gradient of the line joining:
\((1,9) \text{ and } (5,14)\)
\(\frac{5}{6}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((4,1),(8,6),(1,5)\)
(3,10)
a) 10 − 16 = 6
b) 10 × (5) = 50
c) (12−18)(6−12) = 36
d) 50 ÷ (5) = 10
e) (9)^{2} = 81
If p = 6, q = 21 and
r = 6 evaluate:
a) 2q − p = 36
b) pq + r = 120
c) p^{2} − 5q  r = 63
Solve:
\(3x = 24\)
\(x = 8\)
Solve:
\(4x 3= 5\)
\(x = 2\)
Solve:
\(9x 5= 4x + 30\)
\(x = 7\)
Solve:
\(3(3x 6)12= 12\)
\(x = 2\)
Solve:
\(5(2x + 3)= 4(5x + 3)\)
\(x = 0.3\)
Solve:
\(3x+3y = 15\)
\(2x+3y = 12\)
\(x = 3, y = 2\)
Solve:
\(3x3y = 12\)
\(5x+12y = 54\)
\(x = 6, y = 2\)
Solve:
\(3x+5y = 19.5\)
\(5x+3y = 40.5\)
\(x = 9, y = 1.5\)
Find the union of:
{6,7,8,9,10} and
{1,3,6,10,15}
{1,3,6,7,8,9,10,15}
Find the intersection of:
{5,6,7,8,9,10} and
{3,4,5,6,7,8}
{5,6,7,8}
A plane flies from point A to point B on a bearing of 190^{o}. What bearing would it return on from B to A? 010^{o}
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
9^{2} − 6 × 8 + 8
41
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a10\)
Divide 70 in the ratio
6:8
30 and 40
Draw a rough sketch of the graph of:
\(y=x1\)
Gradient 1
y intercept 1
Express the following number as the product of prime numbers:
36
2 x 2 x 3 x 3
In a sale an item costs £104 after a 35% reduction. What was the original price?
£160
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.
0.828282... \(\frac{82}{99}\)
Decrease £160 by 30%
£112
Expand:
\(5(9x2)\)
\(45x10\)
Expand:
\((4x+3)(4x3)\)
\(16x^29\)
Factorise:
\(10x5\)
\(5(2x1)\)
Factorise:
\(x^2+x6\)
\((x+3)(x2)\)
Factorise:
\(20x^23x2\)
\((4x+1)(5x2)\)
Which theorem?
Find the value of:
1.23 × 10^{2}
= 0.0123
Write in standard form:
5120000
= 5.12 × 10^{6}
Write in standard form:
0.0000757
= 7.57 × 10^{5}
Find the n^{th} term:
\(8, 18, 34, 56, 84, \)
\(3n^2+n+4\)
Multiply 7 × 10^{5}
by 5 × 10^{3} and give the answer in standard form.
= 3.5 × 10^{9}
Solve:
\(x^2x12= 0\)
\(x = 4\) and \(3\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2x5 = 0\)
\(x = 1.47\) and \(1.14\)
What is the size of each interior angle of a regular decagon?
144°
Make \(f\) the subject of the formula
$$h=g(ef)$$
$$f=e\frac{h}{g}$$
Calculate the value of:
5697 ÷ 9
= 633
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What is the difference between the 8th and the 9th square numbers?
17
What is the difference between the 7th and the 8th prime numbers?
19  17 = 2
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: 5.5, 5.55, 5.05, 5, 0.5, 0.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 18mm, 17cm, 1.08m, 107cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 18cl, 200ml, 17cl, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
c = 78
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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, mathematicsrelated gifts chosen and recommended by Transum Mathematics.
Equate board gameHere's a great board game that will give any family with schoolaged 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 Scrabblefor 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... 
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 onesyllable 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... 
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. TINspire 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 TINspire, 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 Alevel candidate then works their way through university. more... 
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. 
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... 
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... 
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 514 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... 
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... 
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 formscartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that mathematics should belong to everyone. more... 
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