Year 10 in England
9th grade statistics and probability
4 9th grade statistics and probability skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.
Mixed review
Ten questions drawn from every skill below.
Averages from frequency tables
CCSS HSS.ID.A.2England: GCSE Foundation StatisticsEngland: GCSE Higher Statistics
Example
The table shows the number of pets per household: 0 pets: 9, 1 pets: 5, 2 pets: 5, 3 pets: 3, 4 pets: 6. Find the mean number of pets. Round to 2 decimal places.
- Σfx = 0×9 + 1×5 + 2×5 + 3×3 + 4×6 = 48
- Σf = 28
- 48 ÷ 28 ≈ 1.71
Answer: 1.71
Builds on: Mean, median, mode and range
Leads to: Histograms and grouped data
Tree diagrams and Venn diagrams
CCSS HSS.CP.A.2CCSS HSS.CP.B.7England: GCSE Foundation ProbabilityEngland: GCSE Higher Probability
Example
A bag has 3 red and 6 blue counters. Two are taken without replacement. What is the probability both are red? Give a fraction in simplest form.
- 3/9 × 2/8 = 6/72
- = 1/12
Answer: 1/12
Joint and conditional relative frequencies in two-way tables
CCSS HSS.ID.B.5CCSS 8.SP.A.4England: GCSE Foundation Statistics
Example
How students travel to school: Year 9: cycle 8, walk 30 Year 10: cycle 23, walk 40 What proportion of all students are "Year 10 and cycles"? Give a decimal to 2 decimal places.
- Total = 101
- 23 ÷ 101 ≈ 0.23
Answer: 0.23
Builds on: Two-way tables, Percentages, fractions and decimals
Complete and use a two-set Venn diagram
CCSS HSS.CP.A.1England: GCSE Foundation ProbabilityEngland: GCSE Higher Probability
Example
In a club of 32 students, 19 play chess, 13 play the guitar and 5 do neither. How many do both?
- 32 − 5 = 27
- 19 + 13 − 27 = 5
Answer: 5
Builds on: Tree diagrams and Venn diagrams
Leads to: Use the addition rule P(A or B)
Keep exploring
More for 9th grade
Hands-on math tools
- Virtual fraction bars and fraction circles
- Interactive number line
- Virtual base ten blocks
- Multiplication arrays
- Interactive teaching clock
- Virtual money for counting practice
- Interactive coordinate plane
- Algebra balance scale
- Adding fractions with a model
- Virtual algebra tiles
- Alphabetical order game
- Virtual protractor and angle maker
- Area and perimeter builder
- Bar graph maker for kids
- Math by topicFractions, times tables, long division and more
- English and grammarNouns, verbs, commas, spelling and more
- Reading passagesShort stories with read-aloud and questions
- Science by gradePlants, forces, matter, space and more
- Printable worksheetsPrint, or do them on a tablet with a finger or pen
- Free math games3D games where every move is a math question
- Manipulatives and simulationsMath tools plus science sims: cells, atoms, forces, planets
- Fraction calculatorEvery step shown, from mixed numbers to simplest form
- Math 5-a-dayFive fresh warm-up questions every day
- Guides for parentsHow to help with fractions, tables, tests and more
Math, English and science that click.