What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17
Find all the factors of:
40
1, 2, 4, 5, 8, 10, 20, 40.
Subtract the 4th from the 8th multiples of:
3
12
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) 16.66; 16.7
b) 336838; 337000
c) 0.004595; 0.00460
Find the area of a triangle that has a base of 3cm and a height of 7cm.
10.5cm^{2}
Find the area of a trapezium that has a base of 11cm, a height of 10cm and a top (parallel to base) of 5cm. 80cm^{2}
Evaluate:
\( \frac{4}{5} + \frac{6}{7}\) \(= 1\frac{23}{35}\)
Evaluate:
\( \frac{2}{4} × \frac{6}{8}\) \(= \frac{3}{8}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{6}{5}\) \(= \frac{5}{12}\)
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 5cm. Give your answer to three significant figures.
78.5cm^{2}
Find the circumference of a circle that has a radius of 10cm. Give your answer to three significant figures.
62.8cm^{2}
Calculate the value of:
6.8 + 9.7
= 16.5
Calculate the value of:
8.4 − 4.9
= 3.5
Calculate the value of:
5.5 × 6.7
= 36.85
Calculate the value of:
156.8 ÷ 16
= 9.8
What is the value of:
5^{3}
= 125
What is the value of:
5^{0}
= 1
Calculate the value of:
98 + 65
= 163
Calculate the value of:
91 − 25
= 66
Calculate the value of:
96 × 88
= 8448
Calculate the value of:
858 ÷ 13
= 66
Find the value of:
45% of 260
= 117
Find the value of:
7.55 × 10^{4}
= 75500
Find the highest common factor of thirty two and sixteen.
= 16
5 × 5 = 25  4 × 2 = 8 
9 × 5 = 45  8 × 2 = 16 
6 × 5 = 30  7 × 4 = 28 
3 × 2 = 6  2 × 2 = 4 
4 × 11 = 44  7 × 12 = 84 
5 × 2 = 10  8 × 6 = 48 
6 × 2 = 12  3 × 4 = 12 
9 × 2 = 18  2 × 5 = 10 
7 × 2 = 14  6 × 2 = 12 
3 × 2 = 6  9 × 2 = 18 
5 × 2 = 10  8 × 2 = 16 
4 × 2 = 8  2 × 2 = 4 
5 × 3 = 15  9 × 3 = 27 
7 × 3 = 21  6 × 3 = 18 
4 × 3 = 12  8 × 3 = 24 
3 × 3 = 9  2 × 3 = 6 
7 × 4 = 28  5 × 4 = 20 
4 × 4 = 16  9 × 4 = 36 
3 × 4 = 12  6 × 4 = 24 
8 × 4 = 32  2 × 4 = 8 
3 × 5 = 15  4 × 5 = 20 
5 × 5 = 25  8 × 5 = 40 
9 × 5 = 45  7 × 5 = 35 
6 × 5 = 30  2 × 5 = 10 
7 × 6 = 42  8 × 6 = 48 
3 × 6 = 18  5 × 6 = 30 
4 × 6 = 24  6 × 6 = 36 
9 × 6 = 54  2 × 6 = 12 
9 × 7 = 63  3 × 7 = 21 
4 × 7 = 28  6 × 7 = 42 
7 × 7 = 49  5 × 7 = 35 
8 × 7 = 56  2 × 7 = 14 
5 × 8 = 40  3 × 8 = 24 
4 × 8 = 32  9 × 8 = 72 
7 × 8 = 56  8 × 8 = 64 
6 × 8 = 48  2 × 8 = 16 
4 × 9 = 36  5 × 9 = 45 
8 × 9 = 72  6 × 9 = 54 
7 × 9 = 63  9 × 9 = 81 
3 × 9 = 27  2 × 9 = 18 
8 × 12 = 96  3 × 12 = 36 
4 × 12 = 48  9 × 12 = 108 
5 × 12 = 60  6 × 12 = 72 
7 × 12 = 84  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{20}{25}\) \(= \frac{4}{5}\)
Evaluate:
\( 3\frac{2}{3} − \frac{6}{7}\) \(= 2\frac{17}{21}\)
Find AB if AC = 5.8m and BC = 7.6m. 4.91m
Find angle BCA if AB = 3m and BC = 5m. 36.9^{o}
Find BC if angle BCA = 47^{o} and AC = 5.7m. 8.36m
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.
\( \frac{2}{6}\) \(= 0.333\)
Convert this decimal to a fraction.
\(0.95\) = \( \frac{19}{20}\)
Increase £60 by 10%
£66
What is the lowest common multiple of ten and thirty.
= 30
7,16,25,34,43...
Find the:
a) next term; 52
b) n^{th} term; 9n  2
c) term number 52; 466
6,24,96,384,1536...
Find the:
a) next term; 6144
b) n^{th} term; 6 × 4^{n1}
c) term number 9; 393216
If £140 is invested for 6 years with a simple interest rate of 6%, find the amount of interest earned. £50.40
If £220 is invested with an interest rate of 3% compounded annually, find the value of the investment after 9 years. £287.05
If £1 is worth $1.51, convert:
a) £100 to dollars; $151.00
b) $100 to pounds; £66.23
What are the coordinates of the midpoint of the line joining:
\((7,6) \text{ and } (5,2)\)
(1,2)
What is the gradient of the line joining:
\((2,2) \text{ and } (4,4)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((1,2),(6,8),(5,7)\)
(0,13)
a) 5 − 11 = 6
b) 5 × (5) = 25
c) (10−20)(5−15) = 100
d) 25 ÷ (5) = 5
e) (6)^{2} = 36
If p = 6, q = 16 and
r = 10 evaluate:
a) 2q − p = 26
b) pq + r = 86
c) p^{2} − 5q  r = 34
Solve:
\(4x = 36\)
\(x = 9\)
Solve:
\(3x 5= 4\)
\(x = 3\)
Solve:
\(4x +5= 2x + 17\)
\(x = 6\)
Solve:
\(3(2x +6)10= 50\)
\(x = 7\)
Solve:
\(4(3x + 2)= 3(3x + 3)\)
\(x = 0.333 \text{(to 3 sf)}\)
Solve:
\(3x3y = 3\)
\(2x+3y = 23\)
\(x = 4, y = 5\)
Solve:
\(4x+4y = 40\)
\(3x+12y = 93\)
\(x = 3, y = 7\)
Solve:
\(7x+2y = 39.5\)
\(6x+3y = 43.5\)
\(x = 3.5, y = 7.5\)
Find the union of:
{6,7,8,9,10} and
{2,6,12}
{2,6,7,8,9,10,12}
Find the intersection of:
{1,3,5,7,9} and
{6,7,8,9,10}
{7,9}
A plane flies from point A to point B on a bearing of 333^{o}. What bearing would it return on from B to A? 153^{o}
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
40 ÷ 5 × 16 ÷ 4
32
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 50 in the ratio
6:4
30 and 20
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:
47
47
In a sale an item costs £56 after a 30% reduction. What was the original price?
£80
Find the mean, mode, median and range of the following:
5,6,7,8,9,10
Mean = 7.5, no mode,
median = 7.5 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.131313... \(\frac{13}{99}\)
Decrease £180 by 40%
£108
Expand:
\(9(2x6)\)
\(18x54\)
Expand:
\((4x+3)(4x2)\)
\(16x^2+4x6\)
Factorise:
\(12x8\)
\(4(3x2)\)
Factorise:
\(x^24\)
\((x+2)(x2)\)
Factorise:
\(2x^2+x1\)
\((x+1)(2x1)\)
Which theorem?
Find the value of:
7.25 × 10^{5}
= 0.0000725
Write in standard form:
49500
= 4.95 × 10^{4}
Write in standard form:
0.0000412
= 4.12 × 10^{5}
Find the n^{th} term:
\(2, 11, 22, 35, 50, \)
\(n^2+6n5\)
Multiply 6 × 10^{5}
by 7 × 10^{5} and give the answer in standard form.
= 4.2 × 10^{11}
Solve:
\(x^2x12= 0\)
\(x = 4\) and \(3\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2+4x5 = 0\)
\(x = 0.677\) and \(1.48\)
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:
4165 ÷ 7
= 595
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
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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... 
iPad AirThe 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 Christmas gift for anyone. You have to hold iPad Air to believe it. It’s just 7.5 millimeters thin and weighs just one pound. The stunning Retina display sits inside thinner bezels, so all you see is your content. And an incredible amount of power lies inside the sleek enclosure. So you can do so much more. With so much less. 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... 
Click the images above to see all the details of these gift ideas and to buy them online.
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