Acca Arithmeticworked problems for accumulator maths
Chapters

A worked problem book

Acca Arithmetic

27 accumulator problems, from combining three legs to counting a system 3/5. Try each one, then open the working. Amounts are in naira; every number is invented and every answer computed.

1.501.50×2.003.00×1.805.405.40
Problem 1 in one line.

Problem 1: A three-leg accumulator

Warm-up

An accumulator has three legs at decimal odds 1.50, 2.00, 1.80. The stake is ₦1,000. What are the combined odds, the return if every leg wins, and the profit?

Legs
1.50 × 2.00 × 1.80
Stake
₦1,000
Show working for problem 1
  1. Combined odds: 1.50 × 2.00 × 1.80 = 5.40.
  2. Return: ₦1,000 × 5.40 = ₦5,400.
  3. Profit: ₦5,400 − ₦1,000 = ₦4,400.

Answer Combined odds 5.40; return ₦5,400; profit ₦4,400.

Contents

  1. 1Combining odds1–6

    3 warm-up · 2 steady · 1 stretch

  2. 2How probability shrinks7–12

    2 warm-up · 3 steady · 1 stretch

  3. 3Void legs13–17

    2 warm-up · 2 steady · 1 stretch

  4. 4Systems and full covers18–23

    2 warm-up · 2 steady · 2 stretch

  5. 5Percentages on top24–27

    1 warm-up · 2 steady · 1 stretch

How to use the book

  1. Try first. Each problem gives what you need under “Given”.
  2. Open the working when you have an answer, and compare step by step.
  3. Keep the formula card beside you. Every rule used in the book is on it.