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Math · 2nd Grade (7-8)

Math exercises for 2nd Grade (ages 7-8)

In 2nd Grade (ages 7-8), kids strengthen number sense, place value, addition, subtraction, multiplication, fractions, geometry and measurement. The exercises below are curriculum-aligned so you can pick what to practise next.

181 exercises in this hub

What 2nd Grade covers

Second grade is a year of scaling up. Numbers reach 1,000, addition and subtraction move into written column methods with regrouping, and the 2, 5 and 10 times tables arrive along with the idea that multiplication and division undo each other. Fractions widen from halves and quarters to thirds and non-unit fractions like 3/4. Children start handling money and giving change, tell the time to five minutes, meet right angles and lines of symmetry, and read pictograms and simple bar charts. It is the year the informal methods of first grade get replaced by ones that keep working with bigger numbers.

Modules in this year

Where children usually get stuck

Carrying and borrowing as a ritual

Column methods are easy to perform and hard to understand. A child who can carry correctly but cannot say what the small 1 stands for will come unstuck the moment a problem looks unfamiliar. Ask what the carried digit is worth — the answer should be "ten", not "one".

Times tables without the grouping idea

Chanting the five times table is useful, but only if 5 × 4 also means four groups of five. Children who have memorised without the meaning cannot spot when to multiply in a word problem. Arrays and repeated addition keep the two connected.

Quarter past versus quarter to

Both phrases contain "quarter", both involve the number three on the clock face, and they mean opposite things. This one usually needs a physical clock and a lot of low-stakes repetition rather than explanation.

How to practise at home

  1. 1

    Ten minutes, most days

    Short and frequent beats long and occasional, especially for number facts. Ten focused minutes after school, four or five days a week, will do more for a 2nd Grade child's fluency than an hour at the weekend — and it is far easier to keep going.

  2. 2

    Ask for the method, not the answer

    "How did you work that out?" is the single most useful question you can ask, and it is worth asking when the answer is right as well as when it is wrong. It shows you whether a correct answer came from understanding or from a lucky guess.

  3. 3

    Use the kitchen and the shop

    Doubling a recipe, working out change, reading a scale, timing something — these are the same skills the worksheets cover, with the advantage that they obviously matter. A child who resists a page of sums will often happily work out whether there is enough money.

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Featured exercises

Common questions

What maths should a 2nd Grade child know?
The modules listed on this page are the standard objectives for 2nd Grade (7-8) — they are what most primary curricula expect a child to cover during the year. Children move through them at genuinely different speeds, so treat the list as the shape of the year rather than a checklist with a deadline.
How much practice is enough?
For most children at this age, ten to fifteen minutes on most days is plenty. Regularity matters much more than volume: short sessions keep number facts fresh and keep maths from becoming something that only happens when there is a problem.
Are these exercises free?
You can browse every module on this page and open a free printable worksheet with an answer key without creating an account. A free account adds the full exercise library, progress tracking, and the ability to assign specific practice to your kids.
Do these follow the school curriculum?
The exercises are mapped to standard primary objectives for each year and grouped into the modules shown above. They are written to sit alongside most national curricula rather than to follow one country's exact sequence, so the topics will match even where the ordering differs.

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