Maths practice
Year 8 maths
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Year 8 lessons and printables → · Year 8 reading →
A. Unit rates
- A.1 Unit rates: distance and timeprint
- A.2 Unit rates: words typed per minuteprint
- A.3 Unit rates: pages read per dayprint
- A.4 Unit rates: litres per minuteprint
- A.5 Unit rates: steps per minuteprint
- A.6 Unit rates: earnings per hourprint
- A.7 Unit rates with decimals: distance and timeprint
- A.8 Unit rates with decimals: pages and daysprint
- A.9 Unit rates with decimals: words per minuteprint
- A.10 Unit price: cost of one itemprint
- A.11 Unit price in cents: cost of one itemprint
- A.12 Better buy: compare two packsprint
- A.13 Better buy: close pricesprint
- A.14 Unit rates with fractions: miles per hourprint
- A.15 Unit rates with fractions: thirds and quartersprint
- A.16 Unit rates with fractions: any denominator to sixprint
B. Proportional relationships
- B.1 Constant of proportionality from a pair of valuesprint
- B.2 Constant of proportionality with fraction valuesprint
- B.3 Constant of proportionality from a tableprint
- B.4 Constant of proportionality from a table with fractionsprint
- B.5 Constant of proportionality from a graph pointprint
- B.6 Constant of proportionality from a graph point with fractionsprint
- B.7 Identify proportional relationships in tablesprint
- B.8 Find y in a proportional relationshipprint
- B.9 Find y in a proportional relationship with fractionsprint
- B.10 Write and use y = kx with whole number kprint
- B.11 Use y = kx with decimal kprint
- B.12 Solve proportions: find the missing valueprint
- B.13 Solve proportions with x in any positionprint
- B.14 Scale a recipe up or downprint
C. Percent of a number
- C.1 Find 10% of a numberprint
- C.2 Find 50% of a numberprint
- C.3 Find 25% and 75% of a numberprint
- C.4 Find 20% of a numberprint
- C.5 Find 5% of a numberprint
- C.6 Find 1% of a numberprint
- C.7 Find 15% of a numberprint
- C.8 Find 30%, 40% and 60% of a numberprint
- C.9 Mental percents: 10%, 20%, 25% and 50%print
- C.10 Find a percent of a number: any whole percentprint
- C.11 Percent of a number: word problemsprint
D. Percent, part and whole
- D.1 What percent is one number of another?print
- D.2 What percent is one number of another? Allow over 100%print
- D.3 Find the whole: 10% and 50%print
- D.4 Find the whole: 20%, 25% and 40%print
- D.5 Find the whole when given any percentprint
- D.6 Write fractions as percentsprint
- D.7 Write decimals as percentsprint
- D.8 Write percents as decimalsprint
- D.9 Write percents as fractions in lowest termsprint
E. Percent change and error
F. Sales tax, tips and discounts
- F.1 Sales tax: find the taxprint
- F.2 Sales tax: find the total priceprint
- F.3 Sales tax with prices in dollars and centsprint
- F.4 Tips: find the tipprint
- F.5 Tips: find the total note with tipprint
- F.6 Discounts: find the amount savedprint
- F.7 Discounts: find the sale priceprint
- F.8 Markup: find the amount of the markupprint
- F.9 Markup: find the selling priceprint
- F.10 Commission: find the commission earnedprint
- F.11 Commission: find the total pay with base payprint
- F.12 Find the original price from the sale priceprint
- F.13 Discount then sales tax: find the final priceprint
- F.14 Find the sales tax rateprint
- F.15 Find the percent tipprint
- F.16 Find the percent discountprint
- F.17 Find the percent markupprint
- F.18 Find the commission rateprint
- F.19 Find the price before sales taxprint
- F.20 Find the note before the tipprint
- F.21 Find the cost before a markupprint
- F.22 A price goes up and then down by percentsprint
G. Simple interest
H. Opposites and absolute value
- H.1 Opposites of integersprint
- H.2 Opposites of decimalsprint
- H.3 Opposites of fractionsprint
- H.4 Absolute value of integersprint
- H.5 Absolute value of sumsprint
- H.6 Absolute value of differencesprint
- H.7 Add the absolute values of two numbersprint
- H.8 Distance between two numbers on a number lineprint
- H.9 Compare absolute valuesprint
- H.10 Absolute value in word problems: sea levelprint
I. Compare and order rational numbers
J. Add and subtract integers
- J.1 Add integers with the same signprint
- J.2 Add integers with different signsprint
- J.3 Add integers: all sign combinationsprint
- J.4 Subtract integers: positive numbersprint
- J.5 Subtract a negative integerprint
- J.6 Subtract integers: all sign combinationsprint
- J.7 Add and subtract integersprint
- J.8 Add and subtract integers: mixed signs and sizesprint
- J.9 Subtract to find the change between integersprint
- J.10 Temperature changesprint
- J.11 Depth and height changesprint
- J.12 Game scores: gaining and losing pointsprint
- J.13 Find the change in depth between two positionsprint
- J.14 Find the change in score between two totalsprint
K. Multiply and divide integers
- K.1 Sign of a product of integersprint
- K.2 Multiply integers with the same signprint
- K.3 Multiply integers with different signsprint
- K.4 Multiply integers: all sign combinationsprint
- K.5 Divide integers with the same signprint
- K.6 Divide integers with different signsprint
- K.7 Divide integers: all sign combinationsprint
- K.8 Multiply and divide integersprint
L. Order of operations with integers
- L.1 Add and subtract three integersprint
- L.2 Add, subtract and multiply integersprint
- L.3 Add, subtract, multiply and divide integersprint
- L.4 Order of operations with four integersprint
- L.5 Order of operations with parentheses and negative integersprint
- L.6 Order of operations with exponents and integersprint
- L.7 Long expressions with integersprint
M. Operations with fractions and decimals
- M.1 Add fractions with negatives and the same denominatorprint
- M.2 Subtract fractions with negatives and the same denominatorprint
- M.3 Add rational numbers: fractions with unlike denominatorsprint
- M.4 Subtract rational numbers: fractions with unlike denominatorsprint
- M.5 Add and subtract fractions with negativesprint
- M.6 Add and subtract improper fractions with negativesprint
- M.7 Multiply fractions with negativesprint
- M.8 Divide fractions with negativesprint
- M.9 Multiply and divide fractions with negativesprint
- M.10 All four operations with fractions and negativesprint
- M.11 Add decimals including negativesprint
- M.12 Subtract decimals including negativesprint
- M.13 Add and subtract decimals including negativesprint
- M.14 Multiply decimals including negativesprint
- M.15 Divide decimals including negativesprint
- M.16 Multiply and divide decimals including negativesprint
- M.17 Write fractions as decimalsprint
- M.18 Write mixed numbers as decimalsprint
- M.19 Do fractions terminate or repeat as decimals?print
- M.20 Order of operations with fractions: add, subtract and multiplyprint
- M.21 Order of operations with fractions: all four operationsprint
- M.22 Solve one-step equations with fractionsprint
- M.23 Solve equations with fractions: subtractionprint
N. Simplify expressions
- N.1 Combine like terms with positive coefficientsprint
- N.2 Combine like terms with negative coefficientsprint
- N.3 Combine like terms in longer expressionsprint
- N.4 Distributive property with positive numbersprint
- N.5 Distributive property with negative numbersprint
- N.6 Distribute and combine like termsprint
- N.7 Distribute and combine like terms with negativesprint
- N.8 Add linear expressionsprint
- N.9 Subtract linear expressionsprint
- N.10 Factor out the greatest common factorprint
- N.11 Evaluate linear expressions with positive valuesprint
- N.12 Evaluate linear expressions with negative valuesprint
- N.13 Evaluate expressions with two variablesprint
- N.14 Evaluate expressions with squaresprint
- N.15 Write an expression: more than a multiple of a numberprint
- N.16 Write an expression: less than a multiple of a numberprint
- N.17 Write an expression: times a sumprint
- N.18 Percent change as an expressionprint
O. One-step and two-step equations
- O.1 One-step equations: add and subtractprint
- O.2 One-step equations: multiply and divideprint
- O.3 One-step equations with negative numbersprint
- O.4 Two-step equations with positive numbersprint
- O.5 Two-step equations with negative numbersprint
- O.6 Two-step equations with divisionprint
- O.7 Equations with parentheses: positive numbersprint
- O.8 Equations with parentheses and negative numbersprint
- O.9 Equations with like terms on one sideprint
- O.10 Equations with parentheses and like termsprint
- O.11 Equations with fraction coefficientsprint
- O.12 Equations with decimal coefficientsprint
- O.13 Equations with fraction solutionsprint
- O.14 Is x a solution of the equation?print
- O.15 Is x a solution of the inequality?print
P. Equation word problems
- P.1 Word problems: a plant grows each weekprint
- P.2 Word problems: a phone battery drainsprint
- P.3 Word problems: buying packs of stickersprint
- P.4 Word problems: find the numberprint
- P.5 Word problems: a diver risesprint
- P.6 Word problems: perimetre of a rectangleprint
- P.7 Word problems: mixed equation situationsprint
- P.8 Word problems: bonus points and levelsprint
- P.9 Word problems: consecutive whole numbersprint
- P.10 Word problems: a number times something, minus a numberprint
Q. Inequalities
- Q.1 One-step inequalities with positive numbersprint
- Q.2 One-step inequalities with negative numbersprint
- Q.3 Two-step inequalities with positive numbersprint
- Q.4 Two-step inequalities with negative numbersprint
- Q.5 Inequality word problems: the greatest whole number that fitsprint
- Q.6 Inequality word problems: the least whole number neededprint
R. Scale drawings
- R.1 Scale drawings: find the real distanceprint
- R.2 Scale drawings: lengths in half centimetresprint
- R.3 Scale drawings: find the length on the drawingprint
- R.4 Find the scale factor of a copyprint
- R.5 Real area from a scale planprint
- R.6 How area changes when a figure is scaledprint
- R.7 Missing side of similar rectanglesprint
- R.8 Scale models with a ratio scaleprint
S. Angles and triangles
- S.1 Complementary anglesprint
- S.2 Supplementary anglesprint
- S.3 Vertical anglesprint
- S.4 Angles on a straight lineprint
- S.5 Find the third angle of a triangleprint
- S.6 Acute angles in a right triangleprint
- S.7 Base angles of an isosceles triangleprint
- S.8 Exterior angle of a triangleprint
- S.9 Write and solve equations: complementary anglesprint
- S.10 Write and solve equations: supplementary anglesprint
- S.11 Can a triangle have these side lengths?print
- S.12 Can a triangle have these angle measures?print
T. Circles
- T.1 Circumference of a circle from the radiusprint
- T.2 Circumference of a circle from the diametreprint
- T.3 Circumference of a circle: radius or diametreprint
- T.4 Area of a circle from the radiusprint
- T.5 Area of a circle from the diametreprint
- T.6 Area of a circle: radius or diametreprint
- T.7 Circumference in terms of πprint
- T.8 Area in terms of πprint
- T.9 Find the radius from the circumferenceprint
- T.10 Find the radius from the areaprint
- T.11 Area of a semicircle or quarter circleprint
- T.12 Perimetre of a semicircle or quarter circleprint
- T.13 Area of a ring: a circle inside a circleprint
U. Area of plane figures
V. Volume and surface area
- V.1 Volume of a rectangular prismprint
- V.2 Volume of a triangular prismprint
- V.3 Volume of a cubeprint
- V.4 Volume of a square pyramidprint
- V.5 Find the height of a prism from its volumeprint
- V.6 Surface area of a rectangular prismprint
- V.7 Surface area of a cubeprint
- V.8 Surface area of a triangular prismprint
W. Data and sampling
- W.1 Mean of a data setprint
- W.2 Median of a data setprint
- W.3 Mean absolute deviation (MAD)print
- W.4 Compare two groups using the MADprint
- W.5 Predict from a random sampleprint
- W.6 Range of a data setprint
- W.7 Mode of a data setprint
- W.8 Find the missing number when you know the meanprint
- W.9 Compare two groups using medians and the MADprint
X. Probability
- X.1 Likelihood of events from decimal probabilitiesprint
- X.2 Likelihood of events from percent probabilitiesprint
- X.3 Likelihood of events from fraction probabilitiesprint
- X.4 Probability of a simple event: bags of marblesprint
- X.5 Probability with a number cubeprint
- X.6 Probability of the opposite event: decimalsprint
- X.7 Probability of the opposite event: percentsprint
- X.8 Probability of the opposite event: fractionsprint
- X.9 Experimental probability from trialsprint
- X.10 Predict the number of times an event happensprint
- X.11 Expected number from a theoretical probabilityprint
- X.12 Probability that a marble is NOT a certain colourprint
- X.13 Probability of one colour or anotherprint
- X.14 Probability of two draws without replacementprint
Y. Compound events
Z. Ratios and sharing
- Z.1 Ratios: find the other quantityprint
- Z.2 Ratios: find the first quantityprint
- Z.3 Ratios: find the totalprint
- Z.4 Share a total in a ratio: the first shareprint
- Z.5 Share a total in a ratio: the second shareprint
- Z.6 Share a total in a ratio: the differenceprint
- Z.7 Share a total in a three-part ratioprint
- Z.8 Convert speeds between km/h and m/sprint
- Z.9 Rate problems: how much in a different timeprint
- Z.10 Complete a proportional tableprint
Practise on paper too
Each skill comes from a printable math pack with an answer key.