Helpsheets
Use these helpsheets when you need to practise a particular topic in order to be really comfortable with it. Click on the topic you want to review and a sheet will appear. You can enter your answers in the boxes on the right hand side of the screen.
When you want to check your answers click the 'mark answers' button. You don't need to have filled in all boxes to do this. The computer will only mark the answers you have provided and give you another chance to fill in the missing boxes.
These sheets are sorted according to the year in which they are taught at QMHS. Click here to list the sheets by National Curriculum Level instead.
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- Algebra
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Title Description (with NC levels) Last 5 Year 7 Horizontal and vertical lines Practise finding the equation of a horizontal or a vertical line. (NC level 5) One sided equations Solve equations with an unknown on only one side. (NC level 6) Linear sequences Find terms in a linear sequence and work out its general term. (NC level 6) Collecting like terms Simplify algebraic expressions by collecting like terms. (NC level 6) Expanding brackets Expand single brackets. (NC level 6) Substitution Evaluate algebraic expressions given a value for each letter. (NC level 6,7) Quadratic sequences Find terms in a quadratic sequence and work out its general term. (NC level 7) Simplifying multiplication and division Simplify algebraic expressions by cancelling down fractions and gathering up products. (NC level 7) Year 8 Two sided equations Solve equations with the unknown on both sides. (NC level 6,7) Trial and Improvement Use trial and improvement to solve equations numerically. (NC level 6,7) Expanding double brackets Expand and simplify double brackets. (NC level 7) Factorising common factors Factorise algebraic expressions by finding the common factors. (NC level 7) Plotting curves Recognise the properties of a curve. (NC level 7) Rearranging formulae (1) Change the subject of a formula by peeling off the layers of algebra. (NC level 7,8) Year 8,9 y = mx + c Find the gradient (m) and the y-intercept (c) of a straight line by looking at its equation y = mx + c. (NC level 6,7) Year 9 Simultaneous equations (1) Solve simultaneous equations by adding or subtracting them. (NC level 7) Simultaneous equations (2) Solve simultaneous equations. In this sheet, you need to multiply one or both of the equations first. (NC level 7) Gradient Find the gradient of a line given its graph or given two points on the line. (NC level 7,8) Inequalities Solve inequalities and be able to draw the region corresponding to an inequality (NC level 7,8) Factorising into double brackets Factorise quadratic expressions into double brackets. (NC level 8) Rearranging formulae (2) Rearrange a formula where the new subject is in a negative term or in the denominator of a fraction. (NC level 8) Difference of two squares (DOTS) Factorise quadratic expression with no x term. (NC level 8,9) Factorising harder double brackets Factorise quadratic expressions with more than one x squared into double brackets. (NC level 9) - Data
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Title Description (with NC levels) Last 5 Year 7 Averages Find the mean, median, mode and range from a list of numbers. (NC level 6) Probability Calculate the probability of simple events and use sample space diagrams. (NC level 6) - Number
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Title Description (with NC levels) Last 5 Year 7 Ordering, adding and subracting decimals Practise adding and subtracting decimals. Practise ordering them as well. (NC level 4,5) Multiplication and division Practise written and mental multiplication and divisions. (NC level 5) Fraction of a quantity Practise finding a fraction of a whole number with or without a calculator (NC level 5) Percentage of a quantity Practise finding a percentage of a quantity with or without a calculator. (NC level 5) Indices and Roots Practise working out squaring, cubing, finding square roots and cube roots. (NC level 5,6) Addition and subtraction with negatives Practise adding and subtracting positive and negative numbers. (NC level 5,6) Multiplication and division with negatives Practise multiplying and dividing positive and negative numbers. (NC level 5,6) Multiplying and dividing with large numbers Multiply and divide large numbers without using a calculator. (NC level 5,6) Mixed negatives Practise the four operations with positive and negative numbers. Practise substituting positive and negative numbers into algebraic expressions. (NC level 6) Decimal places Practise rounding off to a number of decimal places. (NC level 6) Converting between fractions, decimals and percentages Convert between fractions, decimals and percentages without using a calculator. (NC level 6) Decimal multiplication Practise multiplying decimals without using a calculator. (NC level 6,7) Fraction addition and subtraction Practise adding and subtracting fractions or mixed numbers. (NC level 6,7) Fraction multiplication and division Practise multiplying and dividing fractions or mixed numbers. (NC level 6,7) Decimal division Practise dividing by a decimal without using a calculator. (NC level 7) Year 7,8 Ratio Simplify ratios and share them. (NC level 5) Year 8 Significant figures Practise finding how many significant figures a number has and rounding to a number of significant figures. (NC level 7) Using decimal multipliers in percentage calculations Solve percentage problems quickly using decimal multipliers. (NC level 7) Estimation Estimate complex calculations by rounding all values to 1 significant figure. (NC level 7) Decimal multipliers for percentage increase or decrease Solve percentage increase and decrease problems quickly using decimal multipliers. (NC level 7,8) Percentage change Find the percentage increase or decrease of a value that has changed. (NC level 7,8) Standard Form Write numbers in standard form and change numbers in standard form back to ordinary numbers. (NC level 8) Rules of indices Use the rules of indices to simplify expressions. (NC level 8) Zero, fractional and negative indices Evaluate expressions to a negative or fractional power. (NC level 8) Reverse percentages Find what a value was before a percentage increase or decrease. (NC level 8) Year 9 Errors in measurement Find the lower bound and the upper bound of a measurement given to a certain degree of accuracy. (NC level 7) - Shape
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Title Description (with NC levels) Last 5 Year 7 Area of basic shapes Find the areas of various basic shapes. (NC level 5,6) Year 8 Pythagoras theorem Find missing lengths in a right angle triangle. (NC level 7) Area and circumference of circles Find the area and perimeter of various circles. (NC level 7) Bearings Find out bearings and reverse bearings. (NC level 8) Year 9 Trigonometry - finding a side (1) Find a missing side in a right angle triangle using trigonometry. (NC level 8) Trigonometry - finding a side (2) Find a missing side in a right angle triangle using trigonometry. The equation you get will have the missing side in the denominator. (NC level 8) Trigonometry - finding an angle Find a missing angle in a right angle triangle using trigonometry. (NC level 8)
