What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
36
1, 2, 3, 4, 6, 9, 12, 18, 36.
Subtract the 6th from the 11th multiples of:
5
25
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round the following numbers to three significant figures:
a) 98.46; 98.5
b) 865077; 865000
c) 0.006795; 0.00680
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 10cm, a height of 8cm and a top (parallel to base) of 4cm. 56cm^{2}
Evaluate:
\( \frac{3}{5} + \frac{7}{8}\) \(= 1\frac{19}{40}\)
Evaluate:
\( \frac{3}{5} × \frac{6}{8}\) \(= \frac{9}{20}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{5}\) \(= 60\)%
Find the area of a circle that has a radius of 9cm. Give your answer to three significant figures.
254cm^{2}
Find the circumference of a circle that has a radius of 9cm. Give your answer to three significant figures.
56.5cm^{2}
Calculate the value of:
3.5 + 4.7
= 8.2
Calculate the value of:
6.3 − 2.8
= 3.5
Calculate the value of:
2.6 × 7.7
= 20.02
Calculate the value of:
152 ÷ 16
= 9.5
What is the value of:
4^{2}
= 16
What is the value of:
1^{3}
= 1
Calculate the value of:
37 + 87
= 124
Calculate the value of:
93 − 25
= 68
Calculate the value of:
37 × 43
= 1591
Calculate the value of:
1088 ÷ 16
= 68
Find the value of:
20% of 120
= 24
Find the value of:
4.84 × 10^{4}
= 48400
Find the highest common factor of forty and twenty.
= 20
9 × 5 = 45  8 × 3 = 24 
3 × 2 = 6  6 × 4 = 24 
5 × 5 = 25  4 × 5 = 20 
7 × 3 = 21  2 × 4 = 8 
9 × 6 = 54  3 × 10 = 30 
5 × 5 = 25  4 × 6 = 24 
6 × 3 = 18  8 × 2 = 16 
7 × 12 = 84  2 × 8 = 16 
3 × 2 = 6  6 × 2 = 12 
7 × 2 = 14  9 × 2 = 18 
5 × 2 = 10  4 × 2 = 8 
8 × 2 = 16  2 × 2 = 4 
9 × 3 = 27  3 × 3 = 9 
7 × 3 = 21  5 × 3 = 15 
8 × 3 = 24  4 × 3 = 12 
6 × 3 = 18  2 × 3 = 6 
6 × 4 = 24  4 × 4 = 16 
9 × 4 = 36  7 × 4 = 28 
5 × 4 = 20  3 × 4 = 12 
8 × 4 = 32  2 × 4 = 8 
5 × 5 = 25  7 × 5 = 35 
8 × 5 = 40  3 × 5 = 15 
9 × 5 = 45  6 × 5 = 30 
4 × 5 = 20  2 × 5 = 10 
6 × 6 = 36  9 × 6 = 54 
8 × 6 = 48  5 × 6 = 30 
4 × 6 = 24  3 × 6 = 18 
7 × 6 = 42  2 × 6 = 12 
6 × 7 = 42  9 × 7 = 63 
5 × 7 = 35  8 × 7 = 56 
7 × 7 = 49  4 × 7 = 28 
3 × 7 = 21  2 × 7 = 14 
9 × 8 = 72  7 × 8 = 56 
6 × 8 = 48  4 × 8 = 32 
5 × 8 = 40  3 × 8 = 24 
8 × 8 = 64  2 × 8 = 16 
8 × 9 = 72  9 × 9 = 81 
5 × 9 = 45  6 × 9 = 54 
4 × 9 = 36  3 × 9 = 27 
7 × 9 = 63  2 × 9 = 18 
7 × 12 = 84  3 × 12 = 36 
8 × 12 = 96  5 × 12 = 60 
6 × 12 = 72  4 × 12 = 48 
9 × 12 = 108  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{30}{36}\) \(= \frac{5}{6}\)
Evaluate:
\( 1\frac{4}{5} − \frac{7}{8}\) \(= \frac{37}{40}\)
Find AB if AC = 4.9m and BC = 6m. 3.46m
Find angle BCA if AB = 3.7m and BC = 5m. 47.7^{o}
Find AC if angle ABC = 62^{o} and AB = 3.7m. 6.96m
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.
\( \frac{3}{6}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.41\) = \( \frac{41}{100}\)
Increase £80 by 25%
£100
What is the lowest common multiple of sixteen and twenty eight.
= 112
2,11,20,29,38...
Find the:
a) next term; 47
b) n^{th} term; 9n  7
c) term number 35; 308
4,12,36,108,324...
Find the:
a) next term; 972
b) n^{th} term; 4 × 3^{n1}
c) term number 10; 78732
If £240 is invested for 8 years with a simple interest rate of 1%, find the amount of interest earned. £19.20
If £120 is invested with an interest rate of 1% compounded annually, find the value of the investment after 5 years. £126.12
If £1 is worth $1.44, convert:
a) £200 to dollars; $288.00
b) $240 to pounds; £138.89
What are the coordinates of the midpoint of the line joining:
\((1,6) \text{ and } (7,18)\)
(3,12)
What is the gradient of the line joining:
\((2,6) \text{ and } (6,10)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((5,3),(10,7),(1,8)\)
(6,12)
a) 11 − 16 = 5
b) 11 × (8) = 88
c) (11−18)(11−22) = 77
d) 88 ÷ (8) = 11
e) (8)^{2} = 64
If p = 6, q = 21 and
r = 12 evaluate:
a) 2q − p = 36
b) pq + r = 114
c) p^{2} − 5q  r = 57
Solve:
\(3x = 21\)
\(x = 7\)
Solve:
\(2x 7= 7\)
\(x = 7\)
Solve:
\(6x 5= 2x + 7\)
\(x = 3\)
Solve:
\(5(2x +6)+11= 121\)
\(x = 8\)
Solve:
\(2(5x + 5)= 4(2x + 3)\)
\(x = 1\)
Solve:
\(5x+2y = 22\)
\(3x+2y = 18\)
\(x = 2, y = 6\)
Solve:
\(5x+4y = 55\)
\(4x12y = 32\)
\(x = 7, y = 5\)
Solve:
\(6x+3y = 13.5\)
\(7x4y = 49.5\)
\(x = 4.5, y = 4.5\)
Find the union of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{1,3,4,5,6,7,8,9}
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 167^{o}. What bearing would it return on from B to A? 347^{o}
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
6^{2} − 2 × 9 + 5
23
Simplify the following by collecting like terms:
\(3x+5x^28x+x^2\)
\(6x^25x\)
Divide 60 in the ratio
9:1
54 and 6
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:
28
2 x 2 x 7
In a sale an item costs £88 after a 45% reduction. What was the original price?
£160
Find the mean, mode, median and range of the following:
1,2,3,4,5
Mean = 3, no mode,
median = 3 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.282828... \(\frac{28}{99}\)
Decrease £180 by 15%
£153
Expand:
\(6(9x7)\)
\(54x42\)
Expand:
\((4x+2)(3x2)\)
\(12x^22x4\)
Factorise:
\(6x27\)
\(3(2x9)\)
Factorise:
\(x^2+x6\)
\((x+3)(x2)\)
Factorise:
\(x^22x3\)
\((x+1)(x3)\)
Which theorem?
Find the value of:
1.69 × 10^{3}
= 0.00169
Write in standard form:
22000
= 2.2 × 10^{4}
Write in standard form:
0.0432
= 4.32 × 10^{2}
Find the n^{th} term:
\(10, 21, 36, 55, 78, \)
\(2n^2+5n+3\)
Multiply 9 × 10^{6}
by 4 × 10^{2} and give the answer in standard form.
= 3.6 × 10^{9}
Solve:
\(x^2x20= 0\)
\(x = 5\) and \(4\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+3x2 = 0\)
\(x = 0.425\) and \(1.18\)
What is the size of each exterior angle of a regular hexagon?
60°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}h$$
Calculate the value of:
8613 ÷ 9
= 957
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
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, 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... 
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