Maths practice
Sixth Class maths
Pick a skill to practise. Questions are new every time. 10 free questions a day.
Sixth Class lessons and printables →
A. Ratios
- A.1 Write a ratio from a situation
- A.2 Write a ratio in simplest form from a situation
- A.3 Simplify ratios
- A.4 Equivalent ratios: find the missing number
- A.5 Equivalent ratios: find any missing number
- A.6 Complete a ratio table
- A.7 Ratios: find one part when you know the total
- A.8 Ratios: find the other group when you know one count
- A.9 Ratios: use the difference to find the total
- A.10 Map scale problems
- A.11 Write a part-to-whole ratio from a situation
- A.12 Write a whole-to-part ratio from a situation
- A.13 Write a part-to-whole ratio in simplest form
- A.14 Write the ratio of one group to the rest in simplest form
B. Rates
- B.1 Find a unit rate
- B.2 Find a unit rate with a decimal answer
- B.3 Use a unit rate to find the total
- B.4 Use a unit rate to find the time
- B.5 Compare rates: which is faster?
- B.6 Unit price: find the price of one item
- B.7 Unit price: find the cost of several items
- B.8 Unit price: which is the better buy?
- B.9 Find the unit rate from a ratio
- B.10 Find the unit rate with a decimal answer
- B.11 Find the time for one unit
- B.12 Find a unit rate with fractions
C. Percents
- C.1 Find 10%, 20%, 25% or 50% of a number
- C.2 Find a percent of a number (multiples of 5%)
- C.3 Find any percent of a number
- C.4 Percent of a number: word problems
- C.5 What percent is one number of another?
- C.6 Find the whole when you know a percent
- C.7 Find the whole when you know a percent: word problems
- C.8 Write a percent as a decimal
- C.9 Write a decimal as a percent
- C.10 Write a fraction as a percent
- C.11 Write a percent as a fraction in simplest form
- C.12 Increase a number by a percent
- C.13 Decrease a number by a percent
- C.14 Find the sale price after a discount
- C.15 Find the amount saved with a discount
- C.16 Compare fractions and percents
- C.17 Percent word problems with discounts and tax
D. Unit conversions
- D.1 Convert metric units of length
- D.2 Convert metric units of mass and capacity
- D.3 Convert metric units with decimals
- D.4 Convert hours, minutes and seconds
- D.5 Convert weeks, days and hours
- D.6 Convert inches, feet, yards and miles
- D.7 Convert cups, pints, quarts and gallons
- D.8 Convert pounds and ounces
E. Expressions
- E.1 Evaluate expressions with one variable
- E.2 Evaluate expressions with subtraction
- E.3 Evaluate expressions with division
- E.4 Evaluate expressions with parentheses
- E.5 Evaluate expressions with decimal values
- E.6 Evaluate expressions with exponents
- E.7 Evaluate expressions with two variables
- E.8 Evaluate expressions with two variables and exponents
- E.9 Order of operations with two operations
- E.10 Order of operations with three operations
- E.11 Order of operations with exponents and parentheses
- E.12 Use a formula to find a value
- E.13 Turn addition and subtraction phrases into expressions
- E.14 Turn multiplication and division phrases into expressions
- E.15 Turn two-step phrases into expressions
- E.16 Identify the coefficient of a term
- E.17 Identify the constant term of an expression
- E.18 Count the terms in an expression
- E.19 Use an expression to solve a real situation
F. One-step equations
- F.1 Solve one-step addition equations
- F.2 Solve one-step subtraction equations
- F.3 Solve one-step multiplication equations
- F.4 Solve one-step division equations
- F.5 Solve one-step equations: all four operations
- F.6 Solve one-step equations with decimals: addition and subtraction
- F.7 Solve one-step equations with decimals: multiplication and division
- F.8 Solve multiplication equations with a decimal coefficient
- F.9 Solve one-step equations with fractions: addition and subtraction
- F.10 Solve one-step equations with fractions: multiplication and division
- F.11 One-step equation word problems: addition
- F.12 One-step equation word problems: subtraction
- F.13 One-step equation word problems: multiplication
- F.14 One-step equation word problems: division
G. Inequalities
- G.1 Write an inequality from a situation
- G.2 Write an inequality from a number line
- G.3 Is a number a solution of an inequality?
- G.4 Find the smallest whole-number solution of x > c
- G.5 Find the largest whole-number solution of x < c
- G.6 Count the whole-number solutions between two limits
- G.7 Count the positive whole-number solutions of x < c
H. Area
- H.1 Find the area of a right triangle
- H.2 Find the area of a triangle from its base and height
- H.3 Find the area of a triangle when extra sides are given
- H.4 Find the area of a parallelogram
- H.5 Find the area of a parallelogram when a slanted side is given
- H.6 Find the area of a trapezoid
- H.7 Area of a triangle cut from a rectangle
- H.8 Area of a shape made from a rectangle and a triangle
- H.9 Area of an L-shaped figure
- H.10 Area of a shape made of two rectangles
- H.11 Find the missing base of a triangle
- H.12 Find the missing base of a parallelogram
- H.13 Find the missing height of a parallelogram
- H.14 Find the area of a triangle with decimal measurements
- H.15 Find the area of a right triangle with decimal legs
- H.16 Find the area of a parallelogram with decimal measurements
- H.17 Find the area of a trapezoid with decimal measurements
I. Statistics
- I.1 Find the mean of a data set
- I.2 Find the mean when the answer is a decimal
- I.3 Find the median of a data set
- I.4 Find the mode of a data set
- I.5 Find the modes when there are two
- I.6 Find the range of a data set
- I.7 Find the interquartile range
- I.8 Find the mean absolute deviation
- I.9 Find a missing number when you know the mean
- I.10 Find the total when you know the mean
- I.11 Find the new mean after adding a value
- I.12 Frequency tables: how many observations?
- I.13 Frequency tables: find the mode
- I.14 Frequency tables: find the median
- I.15 Frequency tables: find the mean
- I.16 Frequency tables: find the total of all the values
- I.17 Find the mean of a data set of decimals
- I.18 Find the median of a data set of decimals
- I.19 Find the range of a data set of decimals
J. Fraction division
- J.1 Divide a whole number by a unit fraction
- J.2 Divide a unit fraction by a whole number
- J.3 Divide a fraction by a whole number
- J.4 Divide a whole number by a fraction
- J.5 Divide fractions with the same denominator
- J.6 Divide a fraction by a fraction
- J.7 Divide mixed numbers
- J.8 Write the reciprocal of a number
- J.9 Fraction division word problems: how many pieces
- J.10 Fraction division word problems: sharing equally
- J.11 Fraction division word problems: fraction by a fraction
K. Long division
- K.1 Divide a three-digit number by a one-digit number
- K.2 Divide a four-digit number by a one-digit number
- K.3 Divide a three-digit number by a two-digit number
- K.4 Divide a four-digit number by a two-digit number
- K.5 Divide when the quotient has a zero in it
- K.6 Divide with remainders by a one-digit number
- K.7 Divide with remainders by a two-digit number
- K.8 Divide to get a decimal quotient
- K.9 Division word problems: equal groups
- K.10 Division word problems: full groups and leftovers
- K.11 Division word problems: find the leftover
- K.12 Division word problems with decimal answers
L. Decimal operations
- L.1 Add decimals with different numbers of places
- L.2 Add three decimals
- L.3 Subtract decimals with different numbers of places
- L.4 Subtract a decimal from a whole number
- L.5 Multiply a decimal by a whole number
- L.6 Multiply decimals: tenths
- L.7 Multiply decimals: hundredths
- L.8 Divide a decimal by a whole number
- L.9 Divide a whole number by a decimal
- L.10 Divide a decimal by a decimal
- L.11 Decimal word problems: add and subtract
- L.12 Decimal word problems: multiply
- L.13 Decimal word problems: divide
- L.14 Decimal word problems: mixed operations
M. Expressions and Variables
- M.1 Write and evaluate expressions for real-world situations with a letter
- M.2 Write an expression for a sum or difference with a letter
- M.3 Write products and quotients with a letter
- M.4 Write expressions with a letter from phrases with two operations
- M.5 Identify sums, terms, products and factors in an expression
- M.6 Evaluate expressions with one variable for a given value
- M.7 Evaluate formulas from real-world contexts
- M.8 Evaluate expressions with fractional values for variables
N. Equivalent Expressions
O. Equations and Inequalities
- O.1 Check whether a number makes an equation true
- O.2 Write an expression for an unknown quantity in a problem
- O.3 Write and solve one-step equations from word problems
- O.4 Choose which values from a set make an inequality true
- O.5 Write an inequality x > c or x < c from a condition
- O.6 Solve x + p = q with whole numbers and decimals
- O.7 Solve px = q with fractions and decimals
- O.8 Match an inequality to its number line graph
P. Exponents and Order of Operations
Q. Multi-digit Division
R. Operations with Decimals
S. Ordering and Absolute Value
- S.1 Compare positive and negative integers
- S.2 Compare rational numbers including fractions and decimals
- S.3 Order rational numbers from least to greatest
- S.4 Order temperatures and balances in real-world contexts
- S.5 Find the absolute value of a rational number
- S.6 Interpret absolute value as the size of a debt or change
- S.7 Compare absolute values and order for negative balances
- S.8 Read inequalities like -3 > -7 as positions on a number line
T. Ratios and Rates
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 edges
- X.2 Surface area of pyramids from a net
- X.3 Surface area word problems about wrapping and painting boxes
- X.4 Volume of rectangular prisms with fractional edges
- X.5 Volume of a prism from base area and height
- X.6 Surface area of triangular prisms from a net
Y. Coordinate Plane
- Y.1 Name the coordinates of a labelled point in the first quadrant
- Y.2 Find the length of a horizontal or vertical segment from coordinates
- Y.3 Find the perimetre of a polygon from its vertex coordinates
- Y.4 Find distances between points sharing an x- or y-coordinate
- Y.5 Solve word problems using coordinates and distances
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
Practise on paper too
Each skill comes from a printable math pack with an answer key.