Grade 5 · Year 6 · Class 5 · ages 10–11 · Problem solving
Counting combinations: Grade 5 practice
Counting how many different choices can be made by multiplying. Eight questions at a time, instant feedback and a mastery score from 0 to 100.
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The idea in one minute
Multiply the number of choices for each part: 3 starters and 4 mains make 3 × 4 meals.
Try these on paper first
One question at each level. Tap a question to see the answer.
Easy Rohan has 4 shirts and 4 pairs of trousers. How many different outfits can he make?
Answer: 16
Medium Rohan has 6 shirts and 3 pairs of trousers. How many different outfits can he make?
Answer: 18
Challenge A café has 6 starters and 8 main dishes. How many different meals of one starter and one main can you make?
Answer: 48
More ways to practise counting combinations
- Printable counting combinations worksheet with an answer key (new questions every time)
- All Grade 5 practice · Problem solving worksheets
Related skills
- Multi-step word problems (Grade 5)
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Play a game that builds the same skills
FAQ
Counting combinations: questions
What grade is counting combinations?
It is usually taught in Grade 5 (Year 6 in England, Class 5 in India, ages 10–11), though schools and countries differ. Try the grade above or below if it feels too hard or too easy.
What does a counting combinations question look like?
For example: "Rohan has 6 shirts and 3 pairs of trousers. How many different outfits can he make?" The answer is 18. Multiply the number of choices for each part: 3 starters and 4 mains make 3 × 4 meals.
What should I learn before and after counting combinations?
It is a good place to start in this topic. After it, move on to multi-step word problems (Grade 5).
How can I get better at counting combinations?
Multiply the number of choices for each part: 3 starters and 4 mains make 3 × 4 meals. Practise a little every day, read the hint after each wrong answer, and use the printable worksheet when you want to write it out.
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