11+ Maths Success: How to Master Problem-Solving & Speed
Balance lightning-fast arithmetic with strategic problem-solving under time pressure
PrepTicks Team
July 2026
The 11+ Maths exam tests much more than basic calculations. Grammar school papers deliberately push children further — testing their ability to apply concepts to complex, multi-step word problems under strict time constraints.
Success relies on a balance of lightning-fast numerical fluency and strategic problem-solving.
1. Build an Airtight Arithmetic Foundation
Instant recall: Times tables to 12×12, division facts, primes to 50, squares to 15² — all must be automatic.
The FDP Matrix: Instantly switch between fractions, decimals, and percentages — use whichever format makes the calculation fastest.
2. Decode Word Problems with “RUCSAC”
Read the entire question. Underline what's being asked. Choose the operations.
Solve on scrap paper. Answer — does it make sense? Check by reversing.
Example: If calculating buses needed and you get 4.2 — round up to 5!
📝 Worked Example:
“A shop sells pencils in packs of 8. Mrs Jones needs 50 pencils for her class. How many packs must she buy?”
R: Read — pencils in packs of 8, needs 50.
U: Understand — how many PACKS (not pencils).
C: Choose — division: 50 ÷ 8
S: Solve — 50 ÷ 8 = 6.25
A: Answer — Can't buy 0.25 of a pack → round UP to 7 packs
C: Check — 7 × 8 = 56 pencils ✓ (enough for 50)
3. Master High-Yield Advanced Topics
Ratio: Always find the value of ONE part first, then scale.
Algebra: Master inverse operations — work backwards to undo calculations.
Compound shapes: Look for hidden lines that split irregular shapes into rectangles.
📝 Ratio Worked Example:
“Tom and Lily share £45 in the ratio 2:7. How much does Lily get?”
Step 1: Total parts = 2 + 7 = 9 parts
Step 2: Value of 1 part = £45 ÷ 9 = £5
Step 3: Lily gets 7 parts = 7 × £5 = £35 ✓
Always find ONE part first, then multiply.
4. Use “Estimate and Eliminate”
Units digit trick: 342 × 17 must end in 4 (2×7=14). Instantly eliminates most options!
Round for sanity: 49×21 ≈ 50×20 = 1000. Cross off anything far from 1000.
5. Train for Test Pacing
One-minute rule: ~1 minute per question. If stuck after 30–45 seconds, guess and move on.
Show clear working: Neat columns actually save time when checking for simple errors later.
📓 The Error Log Method
Write the wrong answer, explain WHY it was wrong, write the correct solution, then retry the same question 3 days later. This patches gaps permanently.
The Golden Rule: Never let a mistake go to waste. Keep an “Error Log” — rewrite wrong questions and solve them correctly a few days later. This is the single fastest way to patch knowledge gaps and build true maths mastery.
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1,600+ maths questions across number, fractions, geometry, percentages, data handling, and more — all with step-by-step solutions.