  Home>Worksheets>Age 5-11 Calculations: mental calculation strategies (+ and -)  Click on the 'change' button and watch the numbers change. Click on the 'print' button to print a pupil worksheet and an answer sheet. The worksheets can be printed providing the password is entered. Buy a password Choose the topic: Primary A: Place value, ordering and rounding B: Properties of numbers & number sequences C: Fractions, decimals & percentages, ratio & proportion D: Mental calculation strategies (+ and -) E: Pencil & paper procedures (+ and -) F: Understanding multiplication & division G: Rapid recall of multiplication & division facts H: Mental calculation strategies (x and divide) I: Pencil & paper procedures (x and divide) J: Using a calculator K: Checking results of calculations L: Solving problems: making decisions M: Reasoning about numbers or shapes N: Problems involving 'real life', money or measures O: Handling data P: Measures Q: Shape and space Secondary A: Applying mathematics and solving problems B: Place value, ordering and rounding C: Integers, powers and roots D: Fractions, decimals, percentages, ratio and proportion E: Number operations and the relationships between them F: Mental methods and rapid recall of number facts G: Calculations: written methods H: Calculations: calculator methods I: Calculations: checking results J: Equations, formulae and identities K: Sequences, functions and graphs L: Geometrical reasoning: lines, angles and shapes M: Transformations N: Coordinates O: Construction & loci P: Measures and mensuration Q: Statistics R: Probability D: 5 6 7 8 9 10 11 12 16 23 31 32 33 34 35 36 37 38 39 40 44 45
 Mental arithmetic   Four mental arithmetic 'tests' on an A4 page. Each 'test' comprises ten questions on addition, subtraction, multiplication, division, place value, sequences, fractions, measures, time and money.

D5: National Curriculum: level 3 'test 1'
D6: National Curriculum: level 3 'test 2' : slightly more difficult

Four mental arithmetic 'tests' on an A4 page. Each 'test' comprises ten questions on addition and subtraction.

D7: National Curriculum: level 3

D45: BIG MATHS add, subtract, multiply, divide, half, double, divide by 10, multiply by 10.

 Hidden numbers, Missing numbers  An example of a hidden number  Examples of missing numbers   Hidden numbers and missing numbers
Use the 1, 2 and 3 buttons to determine which number is hidden. Some of the worksheets show number lines and eyes and feet. Use the buttons to hide or show them.

Year 1 (age 5-6)

D10a: Addition of small numbers (with number line)
D10b:
Subtraction of small numbers
D10c:
Addition and subtraction of small numbers

Year 2 (age 6-7)

D10d: Addition of numbers less than 60 (with number line)
D10e:
Subtraction of numbers less than 50
D10f:
Addition and subtraction of numbers less than 50
D10g:
Add or subtract a multiple of 10 to or from a two-digit number, without crossing 100 (with number line)
eg 63 - 30, 47 + 30
D10h:
Add or subtract a pair of multiples of 100, without crossing 1000 (with number line)
eg 600 - 300, 400 + 500
D10i:
Add a single digit to a 'teens' number, or subtract a single digit from a 'twenties' number, crossing 20 (with number line)
eg 17 + 5, 25 - 8
D10j:
Find a small difference between a pair of numbers lying either side of 20, or another multiple of 10 (with number line)
eg 63 - 58, 37 + ? = 45

Year 3 (age 7-8)

D10k: Addition of numbers less than 50 (with number line)
D10l:
Add or subtract a multiple of 10 to and from a two-digit number, crossing 100 (with number line)
D10m:
Add or subtract a pair of multiples of 100 crossing 1000 (with number line)
D10n:
Add or subtract 100 to or from any three-digit number, without crossing 1000 (with number line)
D10o:
Add or subtract a single digit to or from a two-digit number, crossing the tens boundary (with number line) eg 58 + 7
D10p:
Find a small difference between a pair of numbers lying either side of a multiple of 100 from 100 to 1000 (with number line) eg 607 - 598
D10q:
Begin to add or subtract any pair of two-digit numbers (with number line)

Year 4 (age 8-9) D16a: Add and subtract 2-digit multiples of 10
80 + = 140
D16b: Add or subtract a pair of multiples of 100, crossing 1000
700 + = 1500
D16c: Add and subtract a multiple of 10 to and from a 2 or 3-digit number without crossing the hundreds boundary.
56 + 40 = D16d: Add a 2 or 3-digit number to a multiple of 10, 100 or 1000
520 + = 582
D16e: Work out what to add to a 2 or 3-digit number to make the next multiple of 100
243 + = 300
D16f: Work out what to add to a 4-digit multiple of 100 to make the next multiple of 1000
2400 + = 3000

Year 5 (age 9-10)

D16g: Add and subtract 3-digit multiples of 10
630 - = 340

D23: Add three 3-digit multiples of 100 700 + + 500 = 1800

D16h: Add and subtract a multiple of 100 to and from a 3 or 4-digit number crossing 1000
1342 - = 842
D16i: Add and subtract a 3-digit multiple of 10 to or from a 3-digit number
528 + = 648
D16j: Work out what to add to a 3-digit number to make the next multiple of 100
743 + = 800
D16k: Work out what to add to a decimal to make the next whole number
5.6 + = 6
D16n: Work out what to add to a number to make 1
0.47 + = 1

Year 6 (age 9-10)

D16l: Add and subtract 4-digit multiples of 100
6300 - = 3400
D16m: Work out what to add to a decimal to make the next whole number or tenth
7.45 + = 8

Years 3-6 (age 7-11)

D44: Number triangles The worksheet generates the random numbers to make the triangles work. It leaves one missing number.
Children generate the facts from the triangle. e.g. 5 x 7 = 56, 56 divided by 7 = 8 etc
Eight options.

 Missing symbols: use the symbols >, < and =   Year 4 (age 8-9)
Decide which symbol to use

 SAT-type questions (age 11) D11: Two cards are chosen. The numbers on the cards are added together. The result is rounded to the nearest 10. There might be more than one solution.

D12: Use the digit cards to make the sum correct. Arrange the digit cards to make two 2-digit numbers that add up to 100. D32: Circle three numbers that add up to make....

Work out differences between numbers.

 Solving problems Solve puzzles and problems such as

Years 5-6 (age 9-11)
Sum, Difference and Product

D8:A problem-solving activity
Two numbers are generated, their sum, difference and product are worked out.
Work out what the two numbers are.

Year 5 (age 9-10)
Write a number in each circle so that the number in each square equals the sum of the two numbers on either side of it. There are many possible solutions for the square arithmagon. The answer sheet will give one set of solutions. Years 5 and 6 (age 9-11)

Complete the magic squares

D37: 3 x 3 magic square
D38: 3 x 3 magic square (more difficult)
D39: 4 x 4 magic square

Triangle puzzle
The three numbers on each side of the triangle must add up to the middle target number.

D40: Triangle puzzle

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