Home>Worksheets>Age 11-14 Number operations and the relationships between them
 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 E: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
 Understand the operations of addition, subtraction, multiplication and division as they apply to positive and negative numbers.

Year 7 (age 11-12)
Add and subtract positive and negative numbers. 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.

Year 8 (age 12-13)
Multiply positive and negative numbers. Write a number in each circle so that the number in each square equals the product of the two numbers on either side of it.

Year 8 (age 12-11)
Complete this multiplication table. Positive and negative numbers are used.

Year 7 (age 11-12)

E5: Missing numbers: Answer questions such as -12 + = -19

Complete the magic squares

E6: 3 x 3 magic square
E7:
4 x 4 magic square

 Understand that multiplying does not always make a number larger and that division does not always make a number smaller.

There are three missing number options: click the 1, 2 or 3 buttons.

Years 7-8 (age 11-13)

E20: Multiply and divide by 10, 100 or 1000 eg 0.6 x = 60
E8:
Multiply by 10, 100 or 1000
E9:
Divide by 10, 100 or 1000.

E10: Multiply and divide by 0.1 and 0.01 eg 0.6 x = 0.06
E11: Just multiply
E12:
Just divide

Year 9 (age 13-14)

E13: Multiply and divide by an integer power of 10 eg 6.6 x = 0.0066
E14: Just multiply
E15:
Just divide

 Understand that addition is the inverse of subtraction, and multiplication is the inverse of division.

Year 7 (age 11-12)

I think of a number, add 3.7, then multiply by 5. The answer is 22.5. What is the number?
E16:
Using whole numbers
E17:
Using numbers to one decimal place

A function machine changes the number n to the number 3n + 1.
What does it do to these numbers? 2, 5, 9, 21, 0
What numbers must be input to get these numbers? 10, 37, 100
E18:
Function machine

 Order of operations

Years 7-8 (age 11-13)

E19: Mixed operations
eg Find the value of 3 + 6 x 5 + 2. Put in brackets to make the value 45, ie 3 + 6 x (5 + 2) = 45

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