Maths practice
Year 7 maths
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A. Unit rates
- A.1 Unit rates: distance and time
- A.2 Unit rates: words typed per minute
- A.3 Unit rates: pages read per day
- A.4 Unit rates: litres per minute
- A.5 Unit rates: steps per minute
- A.6 Unit rates: earnings per hour
- A.7 Unit rates with decimals: distance and time
- A.8 Unit rates with decimals: pages and days
- A.9 Unit rates with decimals: words per minute
- A.10 Unit price: cost of one item
- A.11 Unit price in cents: cost of one item
- A.12 Better buy: compare two packs
- A.13 Better buy: close prices
- A.14 Unit rates with fractions: miles per hour
- A.15 Unit rates with fractions: thirds and quarters
- A.16 Unit rates with fractions: any denominator to six
B. Proportional relationships
- B.1 Constant of proportionality from a pair of values
- B.2 Constant of proportionality with fraction values
- B.3 Constant of proportionality from a table
- B.4 Constant of proportionality from a table with fractions
- B.5 Constant of proportionality from a graph point
- B.6 Constant of proportionality from a graph point with fractions
- B.7 Identify proportional relationships in tables
- B.8 Find y in a proportional relationship
- B.9 Find y in a proportional relationship with fractions
- B.10 Write and use y = kx with whole number k
- B.11 Use y = kx with decimal k
- B.12 Solve proportions: find the missing value
- B.13 Solve proportions with x in any position
- B.14 Scale a recipe up or down
C. Percent of a number
- C.1 Find 10% of a number
- C.2 Find 50% of a number
- C.3 Find 25% and 75% of a number
- C.4 Find 20% of a number
- C.5 Find 5% of a number
- C.6 Find 1% of a number
- C.7 Find 15% of a number
- C.8 Find 30%, 40% and 60% of a number
- C.9 Mental percents: 10%, 20%, 25% and 50%
- C.10 Find a percent of a number: any whole percent
- C.11 Percent of a number: word problems
D. Percent, part and whole
- D.1 What percent is one number of another?
- D.2 What percent is one number of another? Allow over 100%
- D.3 Find the whole: 10% and 50%
- D.4 Find the whole: 20%, 25% and 40%
- D.5 Find the whole when given any percent
- D.6 Write fractions as percents
- D.7 Write decimals as percents
- D.8 Write percents as decimals
- D.9 Write percents as fractions in lowest terms
E. Percent change and error
F. Sales tax, tips and discounts
- F.1 Sales tax: find the tax
- F.2 Sales tax: find the total price
- F.3 Sales tax with prices in dollars and cents
- F.4 Tips: find the tip
- F.5 Tips: find the total note with tip
- F.6 Discounts: find the amount saved
- F.7 Discounts: find the sale price
- F.8 Markup: find the amount of the markup
- F.9 Markup: find the selling price
- F.10 Commission: find the commission earned
- F.11 Commission: find the total pay with base pay
- F.12 Find the original price from the sale price
- F.13 Discount then sales tax: find the final price
- F.14 Find the sales tax rate
- F.15 Find the percent tip
- F.16 Find the percent discount
- F.17 Find the percent markup
- F.18 Find the commission rate
- F.19 Find the price before sales tax
- F.20 Find the note before the tip
- F.21 Find the cost before a markup
- F.22 A price goes up and then down by percents
G. Simple interest
H. Opposites and absolute value
- H.1 Opposites of integers
- H.2 Opposites of decimals
- H.3 Opposites of fractions
- H.4 Absolute value of integers
- H.5 Absolute value of sums
- H.6 Absolute value of differences
- H.7 Add the absolute values of two numbers
- H.8 Distance between two numbers on a number line
- H.9 Compare absolute values
- H.10 Absolute value in word problems: sea level
I. Compare and order rational numbers
J. Add and subtract integers
- J.1 Add integers with the same sign
- J.2 Add integers with different signs
- J.3 Add integers: all sign combinations
- J.4 Subtract integers: positive numbers
- J.5 Subtract a negative integer
- J.6 Subtract integers: all sign combinations
- J.7 Add and subtract integers
- J.8 Add and subtract integers: mixed signs and sizes
- J.9 Subtract to find the change between integers
- J.10 Temperature changes
- J.11 Depth and height changes
- J.12 Game scores: gaining and losing points
- J.13 Find the change in depth between two positions
- J.14 Find the change in score between two totals
K. Multiply and divide integers
- K.1 Sign of a product of integers
- K.2 Multiply integers with the same sign
- K.3 Multiply integers with different signs
- K.4 Multiply integers: all sign combinations
- K.5 Divide integers with the same sign
- K.6 Divide integers with different signs
- K.7 Divide integers: all sign combinations
- K.8 Multiply and divide integers
L. Order of operations with integers
- L.1 Add and subtract three integers
- L.2 Add, subtract and multiply integers
- L.3 Add, subtract, multiply and divide integers
- L.4 Order of operations with four integers
- L.5 Order of operations with parentheses and negative integers
- L.6 Order of operations with exponents and integers
- L.7 Long expressions with integers
M. Operations with fractions and decimals
- M.1 Add fractions with negatives and the same denominator
- M.2 Subtract fractions with negatives and the same denominator
- M.3 Add rational numbers: fractions with unlike denominators
- M.4 Subtract rational numbers: fractions with unlike denominators
- M.5 Add and subtract fractions with negatives
- M.6 Add and subtract improper fractions with negatives
- M.7 Multiply fractions with negatives
- M.8 Divide fractions with negatives
- M.9 Multiply and divide fractions with negatives
- M.10 All four operations with fractions and negatives
- M.11 Add decimals including negatives
- M.12 Subtract decimals including negatives
- M.13 Add and subtract decimals including negatives
- M.14 Multiply decimals including negatives
- M.15 Divide decimals including negatives
- M.16 Multiply and divide decimals including negatives
- M.17 Write fractions as decimals
- M.18 Write mixed numbers as decimals
- M.19 Do fractions terminate or repeat as decimals?
- M.20 Order of operations with fractions: add, subtract and multiply
- M.21 Order of operations with fractions: all four operations
- M.22 Solve one-step equations with fractions
- M.23 Solve equations with fractions: subtraction
N. Simplify expressions
- N.1 Combine like terms with positive coefficients
- N.2 Combine like terms with negative coefficients
- N.3 Combine like terms in longer expressions
- N.4 Distributive property with positive numbers
- N.5 Distributive property with negative numbers
- N.6 Distribute and combine like terms
- N.7 Distribute and combine like terms with negatives
- N.8 Add linear expressions
- N.9 Subtract linear expressions
- N.10 Factor out the greatest common factor
- N.11 Evaluate linear expressions with positive values
- N.12 Evaluate linear expressions with negative values
- N.13 Evaluate expressions with two variables
- N.14 Evaluate expressions with squares
- N.15 Write an expression: more than a multiple of a number
- N.16 Write an expression: less than a multiple of a number
- N.17 Write an expression: times a sum
- N.18 Percent change as an expression
O. One-step and two-step equations
- O.1 One-step equations: add and subtract
- O.2 One-step equations: multiply and divide
- O.3 One-step equations with negative numbers
- O.4 Two-step equations with positive numbers
- O.5 Two-step equations with negative numbers
- O.6 Two-step equations with division
- O.7 Equations with parentheses: positive numbers
- O.8 Equations with parentheses and negative numbers
- O.9 Equations with like terms on one side
- O.10 Equations with parentheses and like terms
- O.11 Equations with fraction coefficients
- O.12 Equations with decimal coefficients
- O.13 Equations with fraction solutions
- O.14 Is x a solution of the equation?
- O.15 Is x a solution of the inequality?
P. Equation word problems
- P.1 Word problems: a plant grows each week
- P.2 Word problems: a phone battery drains
- P.3 Word problems: buying packs of stickers
- P.4 Word problems: find the number
- P.5 Word problems: a diver rises
- P.6 Word problems: perimetre of a rectangle
- P.7 Word problems: mixed equation situations
- P.8 Word problems: bonus points and levels
- P.9 Word problems: consecutive whole numbers
- P.10 Word problems: a number times something, minus a number
Q. Inequalities
- Q.1 One-step inequalities with positive numbers
- Q.2 One-step inequalities with negative numbers
- Q.3 Two-step inequalities with positive numbers
- Q.4 Two-step inequalities with negative numbers
- Q.5 Inequality word problems: the greatest whole number that fits
- Q.6 Inequality word problems: the least whole number needed
R. Scale drawings
- R.1 Scale drawings: find the real distance
- R.2 Scale drawings: lengths in half centimetres
- R.3 Scale drawings: find the length on the drawing
- R.4 Find the scale factor of a copy
- R.5 Real area from a scale plan
- R.6 How area changes when a figure is scaled
- R.7 Missing side of similar rectangles
- R.8 Scale models with a ratio scale
S. Angles and triangles
- S.1 Complementary angles
- S.2 Supplementary angles
- S.3 Vertical angles
- S.4 Angles on a straight line
- S.5 Find the third angle of a triangle
- S.6 Acute angles in a right triangle
- S.7 Base angles of an isosceles triangle
- S.8 Exterior angle of a triangle
- S.9 Write and solve equations: complementary angles
- S.10 Write and solve equations: supplementary angles
- S.11 Can a triangle have these side lengths?
- S.12 Can a triangle have these angle measures?
T. Circles
- T.1 Circumference of a circle from the radius
- T.2 Circumference of a circle from the diametre
- T.3 Circumference of a circle: radius or diametre
- T.4 Area of a circle from the radius
- T.5 Area of a circle from the diametre
- T.6 Area of a circle: radius or diametre
- T.7 Circumference in terms of π
- T.8 Area in terms of π
- T.9 Find the radius from the circumference
- T.10 Find the radius from the area
- T.11 Area of a semicircle or quarter circle
- T.12 Perimetre of a semicircle or quarter circle
- T.13 Area of a ring: a circle inside a circle
U. Area of plane figures
V. Volume and surface area
W. Data and sampling
X. Probability
- X.1 Likelihood of events from decimal probabilities
- X.2 Likelihood of events from percent probabilities
- X.3 Likelihood of events from fraction probabilities
- X.4 Probability of a simple event: bags of marbles
- X.5 Probability with a number cube
- X.6 Probability of the opposite event: decimals
- X.7 Probability of the opposite event: percents
- X.8 Probability of the opposite event: fractions
- X.9 Experimental probability from trials
- X.10 Predict the number of times an event happens
- X.11 Expected number from a theoretical probability
- X.12 Probability that a marble is NOT a certain colour
- X.13 Probability of one colour or another
- X.14 Probability of two draws without replacement
Y. Compound events
Z. Ratios and sharing
- Z.1 Ratios: find the other quantity
- Z.2 Ratios: find the first quantity
- Z.3 Ratios: find the total
- Z.4 Share a total in a ratio: the first share
- Z.5 Share a total in a ratio: the second share
- Z.6 Share a total in a ratio: the difference
- Z.7 Share a total in a three-part ratio
- Z.8 Convert speeds between km/h and m/s
- Z.9 Rate problems: how much in a different time
- Z.10 Complete a proportional table
Practise on paper too
Each skill comes from a printable math pack with an answer key.