Multiplication and addition of complex numbers. Four parts.

3 Forces Applied to an Eye bolt.  Use force components to calculate the Reaction force.

Fractions already have a common denominator. Addition and subtraction 50:50 split, when subtracting, the answer is negative half the time. Students shouldn't have to worry about reducing fractions by design.

Fractions don't have a common denominator. Need to find one. Addition and subtraction 50:50 split.

old question, way too many things in one question! I have made better questions out of each part now.

Decimals addition algorithm. 2 and 3 digit numbers. Carrying.

Natural numbers addition algorithm. 2 and 3 digit numbers. Carrying.

Rearrange a complex formula involving squares, square roots, fractions and additions. This is a fixed question with no randomisation.

HELM Book 1.4.3 Exercises: addition and subtraction of algebraic fractions

Given an equation with log terms added together, the student must solve for x. Hints are included in the question to aid the student as needed.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3

Expand (x+a)(x+b)(x+c), where x is a randomised variable, and a,b,c are randomised integers.

Note that the pattern restriction in the marking checks that there are no brackets and that the expression is simplified to at most a single x^3, x^2, x and constant term; but it will let you get away with an additional -x^2 and/or -x term. (e.g., you could write 3x as 4x -x and the marking would accept this. This was to stop the pattern matching getting too complicated.

Part of HELM Book 1.3

Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Natural numbers addition algorithm. 2 and 3 digit numbers. Carrying.

Decimals addition algorithm. 2 and 3 digit numbers. Carrying.

3 Forces Applied to an Eye bolt.  Use force components to calculate the Reaction force.

Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS. These questions only test BDMAS. That is, they test Brackets, Division/Multiplication and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS. These questions only test BDMAS. That is, they test Brackets, Division/Multiplication and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

Multiplication and addition of complex numbers. Four parts.

Elementary examples of multiplication and addition of complex numbers. Four parts.

Testing -(-3) +(-2) etc. One part.

Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.