AFM Enlistment (Maths) study plan

AFM Enlistment (Maths) · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Arithmetic and Number Operations

Apply place value and rounding rules to whole numbers and decimals up to millions without a calculator
Execute multi-digit addition and subtraction with regrouping and self-check using inverse operations
Recall multiplication tables to 12x12 and apply them to two-digit by one-digit mental multiplication
Set up and solve order-of-operations expressions involving brackets and exponents

Timed 25-question arithmetic accuracy set scored at 90% or higher, with every error corrected and annotated

Week 2

Perform long division with remainders and interpret remainders in context
Compute squares, cubes and square roots of perfect squares up to 400 from memory
Solve word problems involving negative numbers in temperature, money and elevation contexts
Estimate answers by rounding before calculating and judge whether a result is reasonable

One-page error log of 15 worked problems showing the estimate, the exact answer and the check

Week 3

Convert between improper fractions and mixed numbers and order fractions by finding common denominators
Add, subtract, multiply and divide fractions and simplify results to lowest terms
Convert fluently between fractions, decimals and percentages for common values such as eighths, fifths and thirds
Round decimals to a stated number of places and solve decimal multiplication and division problems

Completed conversion table of 20 fractions with decimal and percentage equivalents, all correct on a second attempt

Week 4

Calculate percentage increase, decrease, discount and simple interest in multi-step word problems
Find the original amount given a percentage change working backwards
Simplify ratios and divide a quantity in a given ratio
Solve direct proportion problems using the unitary method

Ten-question mixed percentage and ratio test scored at 80% or higher

Week 5

Simplify algebraic expressions by collecting like terms and applying the distributive law
Solve one-step and two-step linear equations and verify solutions by substitution
Solve equations containing fractions by clearing denominators
Translate short word problems into equations and define variables explicitly

Twenty solved linear equations with substitution checks shown for each

Week 6

Rearrange formulas to make a specified variable the subject
Solve equations with unknowns on both sides and expand brackets first
Substitute values into formulas including negative numbers and fractions
Apply ratio and percentage equations to solve practical problems involving rates and unit costs

Formula rearrangement worksheet of 12 items with two worked examples written in full

Week 7

Convert between metric units of length, mass and capacity and solve perimeter and area problems for rectangles, triangles and circles
Compute volume of rectangular prisms and cylinders using the correct formula
Calculate angles on straight lines, in triangles and around a point using angle facts
Read and interpret tables, bar charts and line graphs to extract specific values

Geometry and measurement problem set of 15 items scored at 80% or higher with diagrams redrawn by hand

Week 8

Calculate mean, median, mode and range from a data set and explain what each measure shows
Interpret data presented in two-way tables and identify misleading graph features
Complete two full-length timed mixed practice papers under exam conditions
Review every incorrect answer and classify each error as conceptual, calculation or misreading

Full mock test completed under timing with a written error analysis and a one-page formula sheet created from memory

Week 2: Score 90% or higher on a 20-question arithmetic-only quiz in 20 minutes without a calculator

Week 4: Score 80% or higher on a mixed fractions, decimals, percentages and ratio quiz and correctly answer every percentage-change item

Week 6: Solve 15 of 15 linear equations including fractional and bracketed cases, showing substitution checks

Week 8: Achieve at least 75% overall on a timed full-length mixed mock covering all four domains, with no domain below 60%