Maths practice
Year 6 maths
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Year 6 lessons and printables → · Year 6 reading →
A. Ratios
- A.1 Write a ratio from a situationprint
- A.2 Write a ratio in simplest form from a situationprint
- A.3 Simplify ratiosprint
- A.4 Equivalent ratios: find the missing numberprint
- A.5 Equivalent ratios: find any missing numberprint
- A.6 Complete a ratio tableprint
- A.7 Ratios: find one part when you know the totalprint
- A.8 Ratios: find the other group when you know one countprint
- A.9 Ratios: use the difference to find the totalprint
- A.10 Map scale problemsprint
- A.11 Write a part-to-whole ratio from a situationprint
- A.12 Write a whole-to-part ratio from a situationprint
- A.13 Write a part-to-whole ratio in simplest formprint
- A.14 Write the ratio of one group to the rest in simplest formprint
B. Rates
- B.1 Find a unit rateprint
- B.2 Find a unit rate with a decimal answerprint
- B.3 Use a unit rate to find the totalprint
- B.4 Use a unit rate to find the timeprint
- B.5 Compare rates: which is faster?print
- B.6 Unit price: find the price of one itemprint
- B.7 Unit price: find the cost of several itemsprint
- B.8 Unit price: which is the better buy?print
- B.9 Find the unit rate from a ratioprint
- B.10 Find the unit rate with a decimal answerprint
- B.11 Find the time for one unitprint
- B.12 Find a unit rate with fractionsprint
C. Percents
- C.1 Find 10%, 20%, 25% or 50% of a numberprint
- C.2 Find a percent of a number (multiples of 5%)print
- C.3 Find any percent of a numberprint
- C.4 Percent of a number: word problemsprint
- C.5 What percent is one number of another?print
- C.6 Find the whole when you know a percentprint
- C.7 Find the whole when you know a percent: word problemsprint
- C.8 Write a percent as a decimalprint
- C.9 Write a decimal as a percentprint
- C.10 Write a fraction as a percentprint
- C.11 Write a percent as a fraction in simplest formprint
- C.12 Increase a number by a percentprint
- C.13 Decrease a number by a percentprint
- C.14 Find the sale price after a discountprint
- C.15 Find the amount saved with a discountprint
- C.16 Compare fractions and percentsprint
- C.17 Percent word problems with discounts and taxprint
D. Unit conversions
- D.1 Convert metric units of lengthprint
- D.2 Convert metric units of mass and capacityprint
- D.3 Convert metric units with decimalsprint
- D.4 Convert hours, minutes and secondsprint
- D.5 Convert weeks, days and hoursprint
- D.6 Convert inches, feet, yards and milesprint
- D.7 Convert cups, pints, quarts and gallonsprint
- D.8 Convert pounds and ouncesprint
E. Expressions
- E.1 Evaluate expressions with one variableprint
- E.2 Evaluate expressions with subtractionprint
- E.3 Evaluate expressions with divisionprint
- E.4 Evaluate expressions with parenthesesprint
- E.5 Evaluate expressions with decimal valuesprint
- E.6 Evaluate expressions with exponentsprint
- E.7 Evaluate expressions with two variablesprint
- E.8 Evaluate expressions with two variables and exponentsprint
- E.9 Order of operations with two operationsprint
- E.10 Order of operations with three operationsprint
- E.11 Order of operations with exponents and parenthesesprint
- E.12 Use a formula to find a valueprint
- E.13 Turn addition and subtraction phrases into expressionsprint
- E.14 Turn multiplication and division phrases into expressionsprint
- E.15 Turn two-step phrases into expressionsprint
- E.16 Identify the coefficient of a termprint
- E.17 Identify the constant term of an expressionprint
- E.18 Count the terms in an expressionprint
- E.19 Use an expression to solve a real situationprint
F. One-step equations
- F.1 Solve one-step addition equationsprint
- F.2 Solve one-step subtraction equationsprint
- F.3 Solve one-step multiplication equationsprint
- F.4 Solve one-step division equationsprint
- F.5 Solve one-step equations: all four operationsprint
- F.6 Solve one-step equations with decimals: addition and subtractionprint
- F.7 Solve one-step equations with decimals: multiplication and divisionprint
- F.8 Solve multiplication equations with a decimal coefficientprint
- F.9 Solve one-step equations with fractions: addition and subtractionprint
- F.10 Solve one-step equations with fractions: multiplication and divisionprint
- F.11 One-step equation word problems: additionprint
- F.12 One-step equation word problems: subtractionprint
- F.13 One-step equation word problems: multiplicationprint
- F.14 One-step equation word problems: divisionprint
G. Inequalities
- G.1 Write an inequality from a situationprint
- G.2 Write an inequality from a number lineprint
- G.3 Is a number a solution of an inequality?print
- G.4 Find the smallest whole-number solution of x > cprint
- G.5 Find the largest whole-number solution of x < cprint
- G.6 Count the whole-number solutions between two limitsprint
- G.7 Count the positive whole-number solutions of x < cprint
H. Area
- H.1 Find the area of a right triangleprint
- H.2 Find the area of a triangle from its base and heightprint
- H.3 Find the area of a triangle when extra sides are givenprint
- H.4 Find the area of a parallelogramprint
- H.5 Find the area of a parallelogram when a slanted side is givenprint
- H.6 Find the area of a trapezoidprint
- H.7 Area of a triangle cut from a rectangleprint
- H.8 Area of a shape made from a rectangle and a triangleprint
- H.9 Area of an L-shaped figureprint
- H.10 Area of a shape made of two rectanglesprint
- H.11 Find the missing base of a triangleprint
- H.12 Find the missing base of a parallelogramprint
- H.13 Find the missing height of a parallelogramprint
- H.14 Find the area of a triangle with decimal measurementsprint
- H.15 Find the area of a right triangle with decimal legsprint
- H.16 Find the area of a parallelogram with decimal measurementsprint
- H.17 Find the area of a trapezoid with decimal measurementsprint
I. Statistics
- I.1 Find the mean of a data setprint
- I.2 Find the mean when the answer is a decimalprint
- I.3 Find the median of a data setprint
- I.4 Find the mode of a data setprint
- I.5 Find the modes when there are twoprint
- I.6 Find the range of a data setprint
- I.7 Find the interquartile rangeprint
- I.8 Find the mean absolute deviationprint
- I.9 Find a missing number when you know the meanprint
- I.10 Find the total when you know the meanprint
- I.11 Find the new mean after adding a valueprint
- I.12 Frequency tables: how many observations?print
- I.13 Frequency tables: find the modeprint
- I.14 Frequency tables: find the medianprint
- I.15 Frequency tables: find the meanprint
- I.16 Frequency tables: find the total of all the valuesprint
- I.17 Find the mean of a data set of decimalsprint
- I.18 Find the median of a data set of decimalsprint
- I.19 Find the range of a data set of decimalsprint
J. Fraction division
- J.1 Divide a whole number by a unit fractionprint
- J.2 Divide a unit fraction by a whole numberprint
- J.3 Divide a fraction by a whole numberprint
- J.4 Divide a whole number by a fractionprint
- J.5 Divide fractions with the same denominatorprint
- J.6 Divide a fraction by a fractionprint
- J.7 Divide mixed numbersprint
- J.8 Write the reciprocal of a numberprint
- J.9 Fraction division word problems: how many piecesprint
- J.10 Fraction division word problems: sharing equallyprint
- J.11 Fraction division word problems: fraction by a fractionprint
K. Long division
- K.1 Divide a three-digit number by a one-digit numberprint
- K.2 Divide a four-digit number by a one-digit numberprint
- K.3 Divide a three-digit number by a two-digit numberprint
- K.4 Divide a four-digit number by a two-digit numberprint
- K.5 Divide when the quotient has a zero in itprint
- K.6 Divide with remainders by a one-digit numberprint
- K.7 Divide with remainders by a two-digit numberprint
- K.8 Divide to get a decimal quotientprint
- K.9 Division word problems: equal groupsprint
- K.10 Division word problems: full groups and leftoversprint
- K.11 Division word problems: find the leftoverprint
- K.12 Division word problems with decimal answersprint
L. Decimal operations
- L.1 Add decimals with different numbers of placesprint
- L.2 Add three decimalsprint
- L.3 Subtract decimals with different numbers of placesprint
- L.4 Subtract a decimal from a whole numberprint
- L.5 Multiply a decimal by a whole numberprint
- L.6 Multiply decimals: tenthsprint
- L.7 Multiply decimals: hundredthsprint
- L.8 Divide a decimal by a whole numberprint
- L.9 Divide a whole number by a decimalprint
- L.10 Divide a decimal by a decimalprint
- L.11 Decimal word problems: add and subtractprint
- L.12 Decimal word problems: multiplyprint
- L.13 Decimal word problems: divideprint
- L.14 Decimal word problems: mixed operationsprint
M. Expressions and Variables
- M.1 Write and evaluate expressions for real-world situations with a letterprint
- M.2 Write an expression for a sum or difference with a letterprint
- M.3 Write products and quotients with a letterprint
- M.4 Write expressions with a letter from phrases with two operationsprint
- M.5 Identify sums, terms, products and factors in an expressionprint
- M.6 Evaluate expressions with one variable for a given valueprint
- M.7 Evaluate formulas from real-world contextsprint
- M.8 Evaluate expressions with fractional values for variablesprint
N. Equivalent Expressions
- N.1 Apply the distributive property to expressions like 3(2 + x)print
- N.2 Factor out a common factor from a sum with a letterprint
- N.3 Combine like terms to simplify expressionsprint
- N.4 Distribute a negative or subtraction across parenthesesprint
- N.5 Identify equivalent expressions by substituting valuesprint
O. Equations and Inequalities
- O.1 Check whether a number makes an equation trueprint
- O.2 Write an expression for an unknown quantity in a problemprint
- O.3 Write and solve one-step equations from word problemsprint
- O.4 Choose which values from a set make an inequality trueprint
- O.5 Write an inequality x > c or x < c from a conditionprint
- O.6 Solve x + p = q with whole numbers and decimalsprint
- O.7 Solve px = q with fractions and decimalsprint
- O.8 Match an inequality to its number line graphprint
P. Exponents and Order of Operations
- P.1 Write numerical expressions with exponents from a descriptionprint
- P.2 Order of operations with parentheses and exponentsprint
- P.3 Write a power as repeated multiplicationprint
- P.4 Evaluate powers of whole numbersprint
- P.5 Evaluate powers of 10print
- P.6 Evaluate cube volume and surface area formulas with exponentsprint
Q. Multi-digit Division
R. Operations with Decimals
S. Ordering and Absolute Value
- S.1 Compare positive and negative integersprint
- S.2 Compare rational numbers including fractions and decimalsprint
- S.3 Order rational numbers from least to greatestprint
- S.4 Order temperatures and balances in real-world contextsprint
- S.5 Find the absolute value of a rational numberprint
- S.6 Interpret absolute value as the size of a debt or changeprint
- S.7 Compare absolute values and order for negative balancesprint
- S.8 Read inequalities like -3 > -7 as positions on a number lineprint
T. Ratios and Rates
- T.1 Compare two ratios using a tableprint
- T.2 Write a ratio to compare two quantitiesprint
- T.3 Match ratio language like 'for every' to a ratioprint
- T.4 Find unit rates with fractional quantitiesprint
- T.5 Find missing values in tables of equivalent ratiosprint
- T.6 Write ratios as a to b, a:b and fractionsprint
U. Measures of Center and Variation
V. Dependent and Independent Variables
W. Area and Surface Area
X. Volume and Surface Area
- X.1 Surface area of rectangular prisms with fractional edgesprint
- X.2 Surface area of pyramids from a netprint
- X.3 Surface area word problems about wrapping and painting boxesprint
- X.4 Volume of rectangular prisms with fractional edgesprint
- X.5 Volume of a prism from base area and heightprint
- X.6 Surface area of triangular prisms from a netprint
Y. Coordinate Plane
- Y.1 Name the coordinates of a labelled point in the first quadrantprint
- Y.2 Find the length of a horizontal or vertical segment from coordinatesprint
- Y.3 Find the perimetre of a polygon from its vertex coordinatesprint
- Y.4 Find distances between points sharing an x- or y-coordinateprint
- Y.5 Solve word problems using coordinates and distancesprint
Z. Dividing Fractions
AA. Factors and Multiples
AB. Positive and Negative Numbers
AC. Unit Rates and Rate Problems
AD. Unit Conversion
AE. Ratio Word Problems
AF. Displaying Data
AG. Summarizing Data
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Each skill comes from a printable math pack with an answer key.