Year 7 Set 1 Maths Revision Guide
x, ÷ whole numbers and decimals
Remember to convert any decimal numbers to whole numbers before working out an answer. If multiplying, then convert back to a decimal.
Negative numbers
Remember: ++ = +
+- = -
-+ = -
-- = +
Fractions: including cancelling down, equivalent fractions, and converting between improper fractions and mixed numbers.
Find a common factor to cancel down
Remember equivalent fractions are all worth the same
Find how many fractions are in the whole number when converting between improper and mixed.
Adding and subtracting fractions
Find a common denominator(a number that both denominators can go in to). Remember to multiply the numerator and denominator by the same thing
Multiplying and dividing fractions
Multiply numerator by numerator, and denominator by denominator. Cross cancel if you can.
Finding fractions of amounts
Multiply the number by the fraction
Give all fraction answers in their lowest possible form(except equivalent fractions)
Rounding decimals to decimal places(1 d.p.) or significant figures(sig.fig).
decimal places are the numbers after the decimal point, significant figures are the number of numbers in total.
Equivalence between fractions, decimals and percentages.
Know how to convert between the 3.
Solving linear equations, including rearranging equations, collecting like terms, expanding brackets, taking out common factors(factorising).
Remember that when we move a number or function across the equals sign, the sign of the number or function changes.
Constructing line graphs.
Remember a line graph involves straight lines, not curves
Pie charts.
Remember there are 360o in a circle, so work out how many degrees each item in the survey is worth to help you find the size of each section.
Scatter graphs.
Line of best fit needs to be drawn as close to as many points as possible. Remember positive, negative and no correlation.
Properties of quadrilaterals.
Including squares, rectangles, kites, parallelograms, rhombus, trapezium. Including lengths, angles, parallel sides etc.
Square: 4 right angles, all sides the same length, opposite sides parallel
Rectangle: 4 right angles, opposite sides the same, opposite sides parallel
Parallelogram: opposite sides and angles the same. opposite sides parallel
Kite: 2 sets of equal sides. 2 angles the same.
Rhombus: all sides the same length, opposite angles the same
Trapezium: 1 pair of parallel sides
Area and circumference of a circle
Area = πr2
Circumference = 2πr
Finding the internal and external angles of any regular shape.
Remember the formulae.
Internal angle: (n-2) x 180 where n is the number of sides.
External angles: 360 where n is the number of sides n
Reflection.
Remember the shape will be the opposite way around in the reflection
Rotation.
Remember that direction is important, and the centre of rotation
Translation.
Moving a shape around. In a translation vector the top number is the x movement and the lower number is the y movement