J: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 24 25 26 27 28 29 31 32 33 34

Years 7-9 (age 11-14)
Simplify algebraic expressions.

J28: Simplify expressions
Use the 1, 2, 3 and 4 buttons to generate the worksheet:

level 1: 2a + 3a

level 2: 2ab - 4ab

level 3: 2a - 3b + 5a -6b

level 4: 2x³ - 4y + 2x³ - 7y

Years 9-11 (age 14-16)

J31: Multiplying terms

Use these buttons to generate the worksheet:
1: eg 2 x a x b	2: eg 2p x 3q	3: eg 3ab2 + 2ab	4: a mixture

J32: Multiply out brackets

Use these buttons to generate the worksheet:
1: eg 2(3b + 4c)	2: eg 2(3b + 4c) + 3(2b - 3c)	3: eg 2b(3b + 4c)

J33: Factorise
6b + 8c Options 1 and 3 see above 6b² + 8bc

J34: Rearrange formulas : change the subject of a formula
Five levels of difficulty (buttons 1 to 5). Button 6 generates a variety.

Year 7 (age 11-12)
In an arithmagon, the number in a square is the sum of the numbers in the two circles on either side of it. What could the letters be? Find relationships between the letters. There are many possible solutions for the arithmagons. The answer sheet will give one set of solutions.

J2: Sum puzzle

Year 7 (age 11-12)
Solve simple equations

J29: Balancing problems: what is the weight of a gold bar?
Use the 1 ,2 and 3 buttons to generate the equations. three levels of difficulty:
level 1: small whole number solutions
level 2: multiple of ten solutions
level 3: gold bars on both sides

J3: Work out what number each shape represents (positive numbers)
J4: Work out what number each shape represents (positive and negative numbers)
J5: Work out the value of each letter (positive numbers)

Pyramid equations
Years 8-9 (age 12-14)
In each pyramid each number is the sum of the two numbers immediately below. Find the value of n

J6: Pyramid 1 positive whole number solutions
J7: Pyramid 2 positive and negative whole number solutions
J8: Pyramid 3 positive whole number solutions.
J9: Pyramid 4 positive and negative whole number solutions
J10: Pyramid 5 positive whole number solutions
J11: Pyramid 6 positive and negative whole number solution

Square equations
Years 8-9 (age 12-14)
Work out the value of a and b so that each row and column adds up to the required total.

J12: Square equations 1: positive whole number solutions.

J13: Square equations 2: positive and negative whole number solutions.

Linear equations
Years 7-8 (age 11-13)

J14: Solve equations
All four types can now be generated on the same worksheet.
Four different types (see examples on the left). Click on the 1 to 4 buttons to generate the equations.

Years 7-9 (age 11-14)
What numbers are hidden?

Two or three rows of polygon people are shown. Two numbers are hidden behind the shape people: one behind the triangle and one behind the circle. What are the hidden numbers?
J20a: Shape people and simultaneous equations (2 rows)
J20b: Shape people and simultaneous equations (3 rows)

Years 9-11 (age 14-16)
Traditional simultaneous equations

J21: Simultaneous equations generator

Click on the four option buttons to generate new simultaneous equations:
1. Positive answers and coefficients of x and y
2. Positive and negative answers and positive coefficients of x and y
3. Positive answers and positive and negative coefficients of x and y
4. Positive and negative answers and coefficients of x and y

Substitute numbers into expressions.
Year 8 (age 12-13)

J18: Substitute positive numbers

J19: Substitute positive and negative numbers

Time-distance-speed
Years 9-11 (age 14-16)

J25: Time-distance-speed formulae
Use the '1' and '2' buttons to generate a worksheet. The '2' button generates more difficult questions.

J26: Multiply out brackets

Use these buttons to generate the worksheet:
1: eg (x+3)(x+5)	2: eg (x-3)(x+5)	3: eg (2x+3)(3x+5)	4: eg (2x+3)(3x-5)

J27: Factorise
x² + 3x - 10 Same options as above

J24: Solve quadratic equations
eg: x² + 3x - 10 = 0. Same options as above