Sumdog's math topics


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Each one of Sumdog's math games can cover any of the 122 numeracy topics. These topics are spread across 10 levels of increasing difficulty.

Students can choose which topics to practise when starting a game. Teacher who have signed up for a free teacher login can also set challenges and competitions for their students, to focus on individual topics.

Level 1

Topic Sample Question
Ordering numbers up to 20 Which is largest? 8, 4, 11, 3
Adding 1 to a number up to 20 11 + 1
Subtracting 1 from a number up to 20 15 - 1
Adding the numbers 0 to 5 2 + 5
Subtracting the numbers 0 to 5 3 - 0
Adding numbers that total 10 6 + ? = 10
Subtracting numbers from 10 10 - 7
Adding the numbers 0 to 10 9 + 7
Subtracting the numbers 0 to 10 8 - 5

Level 2

Topic Sample Question
Doubling up to 10 Double 4?
Halving up to 10 Half of 2?
Basic number sequences (add and subtract up to 10) 1, 2, 3, ?
Adding 10 to multiples of 10 10 + 10
Subtracting 10 from multiples of 10 20 - 10
Ordering numbers up to 100 Which is largest? 77, 73, 51, 23
Groups of 2, 5, and 10 2 × 9

Level 3

Topic Sample Question
Adding the numbers 0 to 10 to the numbers 0 to 20 5 + 14
Subtracting the numbers 0 to 10 from the numbers 0 to 30 29 - 7
Adding the numbers 0 to 20 16 + 19
Subtracting the numbers 0 to 20 12 - 6
Doubling up to 20 Double 13?
Halving up to 20 Half of 20?
Rounding 2-digit numbers to the nearest 10 66 rounded to the nearest 10?
Adding 1-digit numbers to a multiple of 10 50 + 4
Subtracting 1-digit numbers from a multiple of 10 30 - 2
Halves and quarters of a number What is 1/2 of 18?

Level 4

Topic Sample Question
2 Times table 2 × 6
2 Division table 24 ÷ 2
Adding 1-digit number to 2-digit number 77 + 4
Subtracting a 1-digit number from a 2-digit number 58 - 6
10 Times table 10 × 3
10 Division table 80 ÷ 10
Adding multiples of 10 that total 100 40 + ? = 100
Subtracting multiples of 10 from 100 100 - 30
5 Times table 5 × 7
5 Division table 45 ÷ 5
Identify tenths (representation of a fraction)
Identify thirds & fifths (representation of a fraction)

Level 5

Topic Sample Question
Ordering numbers up to 1000 Which is largest? 845, 597, 927, 467
Adding a multiple of 10 to a 2-digit number 59 + 70
Subtracting a multiple of 10 from a 2-digit number 12 - 10
3 Times table 3 × 3
3 Division table 12 ÷ 3
Adding the numbers 0 to 100 83 + 26
Subtracting the numbers 0 to 100 92 - 17
Multiplying one-digit numbers by 10 or 100 1 × 100
Dividing two-digit or three-digit numbers by 10 or 100 60 ÷ 10
Rounding 2-digit or 3-digit numbers to the nearest 10 or 100 420 rounded to the nearest 100?
4 Times table 4 × 9
4 Division table 28 ÷ 4
Identify sixths, sevenths, eighths, and ninths (representation of a fraction)
Tenths of a number What is 1/10 of 70?
Thirds and fifths of a number What is 1/3 of 9?

Level 6

Topic Sample Question
Adding 1-digit numbers to 3-digit numbers 773 + 6
Subtracting 1-digit numbers from 3-digit numbers 897 - 0
Intermediate number sequences (add and subtract up to 50) 10, 12, 14, ?
Multiplying two-digit numbers by 10 or 100 42 × 10
Dividing three-digit or four-digit numbers by 10 or 100 9230 ÷ 10
Adding two digit numbers 69 + 19
Subtracting two digit numbers 51 - 49
6 Times table 6 × 1
6 Division table 36 ÷ 6
Identify decimals (representation of a decimal)
Ordering 1-place decimals Largest? 1.1, 0.6, 7.6, 1.9

Level 7

Topic Sample Question
Adding 3 one-digit numbers 1 + 1 + 8
Subtracting 2 one-digit numbers from a number up to 27 21 - 2 - 6
Rounding 4-digit numbers to the nearest 10 or 100 1880 rounded to the nearest 100?
Dividing by 1 to 5 with remainders 12 ÷ 1 = 12 r ?
Adding multiples of 10, 100, or 1000 6000 + 100
Subtracting multiples of 10, 100, or 1000 10 - 10
Ordering positive and negative numbers Which is smallest? -17, -8, 0, 4
Doubling multiples of 10 and 100 Double 100?
Halving multiples of 10 and 100 Half of 140?
Adding 1-place decimals without carry 0.1 + 0.8
Ordering 2-place decimals Smallest? 2.21, 5.04, 0, 7.11

Level 8

Topic Sample Question
9 Times table 9 × 3
9 Division table 45 ÷ 9
Multiplying three-digit numbers by 10 419 × 10
Dividing four-digit or five-digit numbers by 10 72770 ÷ 10
8 Times table 8 × 9
8 Division table 24 ÷ 8
Adding three-digit numbers 578 + 602
Subtracting using three-digit numbers 979 - 735
7 Times table 7 × 5
7 Division table 63 ÷ 7
Multiplying 2-digit numbers by 1-digit numbers 32 × 8
Dividing 2-digit numbers by 1-digit numbers with remainders 95 ÷ 2 = ? r 1
Advanced number sequences (add and subtract up to 100) 50, 60, 70, ?
Equivalence of decimals and percentages What decimal is 20%?
Equivalence of fractions and decimals What decimal is 1/5?
Multiply 1-place decimals by 10 or 100 0.6 × 10
Factors of 100 100 ÷ ? = 20
Equivalence of fractions and percentages What fraction is 33 1/3%?
Sixths, sevenths, eighths, and ninths of a number What is 1/6 of 12?

Level 9

Topic Sample Question
Multiplying by 25 25 × 3
Dividing by 25 275 ÷ 25
Square numbers
Square roots √1
Identifying prime numbers less than 100 Which is a prime? 18, 33, 41, 85
Adding 3 two-digit numbers (operators up to 50) 25 + 31 + 47
Subtracting 2 two-digit numbers from a number up to 150 38 - 37 - 40
Common percentages of a number 25% of 12?
Adding 1-place decimals 8.1 + 0.6
Simplify fractions 4/8 = 1/?

Level 10

Topic Sample Question
Adding positive and negative numbers (up to +/-20) -1 + 9
Subtracting positive and negative numbers (up to +/-20) -8 - 15
11 Times table 11 × 6
11 Division table 66 ÷ 11
Adding two negative numbers (up to -20) -17 + -17
Subtracting two negative numbers (up to -20) -16 - -18
12 Times table 12 × 7
12 Division table 144 ÷ 12
Adding positive and negative numbers (up to +/-100) 15 + -54
Subtracting positive and negative numbers (up to +/-100) -88 - -4
13 Times table 13 × 12
13 Division table 65 ÷ 13
Adding two negative numbers (up to -100) -86 + -86
Subtracting two negative numbers (up to -100) -28 - -82
Equivalence of hard fractions and percentages What fraction is 85%?
Percentages of a number 66 2/3% of 60?
Increase and decrease by a percentage 10% less than 30
Fractions of a number What is 6/10 of 40?
Simplify expressions with 1 variable Simplify x + 4x + 6
Factorise expressions with 1 variable Factorise 2y + 12
Factorise expressions with 2 variables
Factorise 15z + 25x
Expand expressions with 1 variable
Expand 3(2x - 2)
Expand expressions with 2 variables
Expand 5(4y + 5x)

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