Prime Numbers Square Numbers 2 3 5 6 7 8 9 0 3 5 6 7 8 9 20 2 22 23 2 25 26 27 28 29 30 3 32 33 3 35 36 37 38 39 0 2 3 5 6 7 8 9 50 5 52 53 5 55 56 57 58 59 60 6 62 63 6 65 66 67 68 69 70 Only divisible by itself and. Remember: is not a prime number 2 3 5 6 7 8 9 0 2 3 5 6 7 8 9 0 2 2 6 8 0 6 8 20 22 2 3 3 6 9 5 8 2 2 27 30 33 36 8 6 20 2 28 32 36 0 8 5 5 0 5 20 25 30 35 0 5 50 55 60 6 6 8 2 30 36 2 8 5 60 66 72 7 7 2 28 35 2 9 56 63 70 77 8 8 8 6 2 32 0 8 56 6 72 80 88 96 A number multiplied by itself produces a square number. The opposite of a square number is a square root. 7 72 73 7 75 76 77 78 79 80 8 82 83 8 85 86 87 88 89 90 9 9 8 27 36 5 5 63 72 8 90 99 08 0 0 20 30 0 50 60 70 80 90 00 0 0 22 33 55 66 77 88 0 0 32 9 92 93 9 95 96 97 98 99 00 2 36 8 60 72 8 96 0 0 32 Mean, Mode and Median Triangles Mean The average when all values are added and then divided by the number of values. Equilateral All sides and angles equal. Right-Angled Includes one right angle (90 ) Mode The most popular number in a set of data. Median The middle value of a set of data when they are written in size order. Isosceles Two sides equal in length. Scalene No sides equal. Range The difference between the highest and lowest value of a set of data.
and 2 Hour Clock Hour Clock 2 Hour Clock midnight 00:00 am 0:00 2am 02:00 Hour Clock 2 Hour Clock pm :00 pm 3:00 2pm :00 Metric Measurements Distance Kilometre km = 000m Metre m = 00cm Volume Kilolitre kl = 000l Litre l = 00cl 3am 03:00 3pm 5:00 Centimetre cm = 0mm Centilitre cl = 0ml am 0:00 5am 05:00 6am 06:00 7am 07:00 8am 08:00 9am 09:00 0am 0:00 pm 6:00 5pm 7:00 6pm 8:00 7pm 9:00 8pm 20:00 9pm 2:00 0pm 22:00 Millimetre mm Weight Tonne t = 000kg Kilogram kg = 000g Gram g = 000mg Millilitre ml Time Hour H/h = 60mins Minute mins = 60secs Seconds secs = 000ms am :00 pm 23:00 Milligram mg Imperial Measurements Distance Mile M = 760yds Yard yd = 3 Foot ft or = Inch in or Weight Ton t = 60st Stone st = lbs Pound lb = 6oz Ounce oz Volume Gallon gal = 8pts Quart qt = 2pts Pint pt = 6floz Fluid Ounce floz Area Square Mile mile² =60 acres Acre acre = 80yd² Square Yard yd² = 9ft² Square Foot ft² Converting Units Kilo means thousand and milli means a thousandth Metric Distance Metric Volume From To Method From To Method cm m 00 l ml 000 cm mm 0 ml l 000 m km 000 Imperial and Metric km m 000 From To Method Metric Weight miles km.6 From To Method km miles.6 kg g 000 g kg 000
Column Calculations Commonly used for addition and subtraction. Some tips to remember: Always work from right to left. Don t forget to add on any numbers you carry over to the next column. For subtractions the largest number is always on the top and it is always top take away bottom as you work through. Shape Prefixes Bi = 2 Tri = 3 Quad = Pent = 5 Hex = 6 Hept = 7 Oct = 8 Non = 9 Dec = 0 Hemi = half 3D Shape Families Quadrilaterals all have sides (square, rectangle, rhombus, parallelogram, trapezium). Prisms are like an elongated shape or a cylinder with edges, such as a hexagonal prism with hexagons on each end. Pyramids all have a base with the sides meeting at one point, such as a square-based pyramid or an octagonal-based pyramid. Polygons are 2D shapes that usually end in -agon, such as octagon or nonagon. Polyhedrons are 3D shapes that usually end in -hedron, such as octahedron or dodecahedron. Angles Inside angles of a triangle = 80 Inside angles of a quadrilateral = 360 A straight line = 80 A full circle = 360 Opposite angles on crossing lines are equal, for example: 30 50 50 30
Compass Points Multiplication Shortcuts 20 = double it then 0 30 = 3 then 0 = double, then double again 8 = double, double and double again. 5 = 0, half it, then add both together. 50 = 00, then half it. and by 0, 00 or 000 move all digits to the left move all digits to the right 0 move all digits place to the left 00 move all digits 2 places to the left 000 move all digits 3 places to the left 0 move all digits place to the right 00 move all digits 2 places to the right 000 move all digits 3 places to the right Coordinates The x axis goes across/horizontal The y axis goes up/vertical Coordinates are written (x,y) The first number moves horizontally The second number moves vertically A useful tip is along the corridor and up the stairs (although the stairs may be down if you have negative numbers!).
What is a Fraction? Comparing Fractions ¾ The top number is called the numerator and tells you how many pieces you have out of the possible pieces. The bottom number is called the denominator and tells you how many equal pieces something is cut into. Sometimes you will need to compare or calculate using fractions. The easiest way to compare them is to change them to a common denominator (same bottom number). Do this by multiplying or dividing with the rule: do the same to the top as you do to the bottom. You use fractions all the time without thinking, like when 8 you get on a spelling test. There are 0 equal marks 0 available and you ve got 8 of them. 5 5 3 So: 5/, 5/6 6 and 5/6 can all be made into ths by multiplying the 5 and the 6 by 2 and also the 3 and the by 3 giving: 5 0 9,, Finding Quick Percentages Find % = 00 Find 0% = 0 Find 20% = 5 50% = 2 25% = 75% =, then 3 Finding Any Percentage Once you know that to find % is the same as dividing by 00, you can then multiply that by whatever percent you want! For example 7% is 7 lots of % So you will need to 00, then 7. There are quick ways of finding some percentage such as 0% = 0, but even this long method would work the answer out correctly.
Adding Fractions. Change them to a common denominator. 2. Add the top numbers only and keep the same denominator. 3 Example: + 6. Change both fractions to ths 9 8 = + 2. Add the top numbers only and keep the bottom number: 9 + 8 = 7 7 So the answer is or simplified to 5 Subtracting Fractions. Change them to a common denominator. 2. Subtract the top numbers only and keep the same denominator. 3 Example: - 6. Change both fractions to ths 9 8 = - 2. Subtract the top numbers only and keep the bottom number: 9-8 = So the answer is Multiplying Fractions. Multiply the two top numbers together to get a new top number. 2. Multiply the two bottom numbers together to get a new bottom number 3 Example: 5 6. Multiply the two top numbers together = 3 = 2. Multiply the two bottom numbers together = 5 6 = 30 So the answer is 30 6 2 Which you can then simplify to 6/, 6 or 5 0 5 Dividing Fractions. Flip the second fraction over 2. Multiply the two top numbers together to get a new top number. 3. Multiply the two bottom numbers together to get a new bottom number. 3 2 Example: 5 7 3 7. Flip the second fraction over so it becomes 3/5 7/2 5 2 2. Multiply the two top numbers together 3 7 = 2 3. Multiply the two bottom numbers together 5 2 = 0 2 So the answer is 0 Which you can then simplify to 2 0
Roman Numerals Decimals I = VI = 6 L = 50 A good tip with decimals is to think of them as money. II = 2 VII = 7 D = 500 For example:.2 + 3. III = 3 IV = V = 5 VIII = 8 IX = 9 X = 0 M = 000 M = million A line over any letter makes it 000 times bigger. could be thought of as:.20 + 3.0 giving an answer of.60 and it seems much easier. Just don t forget to make it back into a plain decimal in the end. So.60 would be.6 Times Table Square Fractions, Decimals and % 2 3 5 6 7 8 9 0 2 6 8 0 6 8 20 3 6 9 5 8 2 2 27 30 8 6 20 2 28 32 36 0 5 0 5 20 25 30 35 0 5 50 6 8 2 30 36 2 8 5 60 7 2 28 35 2 9 56 63 70 8 6 2 32 0 8 56 6 72 80 9 8 27 36 5 5 63 72 8 90 0 20 30 0 50 60 70 80 90 00 Fraction Decimal Percentage % 00 0 5 2 3 0.0 % 0. 0% 0.2 20% 0.5 50% 0.25 25% 0.75 75%