Remediation sheet · Mathematics 7

Per Cent of What?

Term 1 · Week 7 · Percentage increase and decrease
NameDate
For the teacher. This is for a learner who adds and subtracts percentages directly, or reads 20% as "divide by 20". It is not a shortened copy of worksheet.html — it is a different route to the same competency, starting further back. Task 4 is the first two-step change on worksheet.html. Show each worked example first and let the learner copy the method, never the answer. If task 1 will not come: If task 1 will not come, stay on 10% of round hundreds until it is automatic. Everything else is built from it.

1Ten per cent first — targets 20% read as divide by 20

Say: “Move the decimal one place. That is all.”

Worked example. 10% of ₱250 is ₱25. Ten per cent means ten per hundred, so one tenth.
  1. 10% of ₱400 = ______
  2. 10% of ₱90 = ______
  3. 10% of ₱1 250 = ______

2Build the rest from ten — targets treating each percentage as a separate skill

Say: “Twenty is two tens. Five is half a ten.”

Worked example. 20% of ₱250 = two lots of 25 = ₱50. 5% of ₱250 = half of 25 = ₱12.50.
  1. 20% of ₱400 = ______
  2. 5% of ₱400 = ______
  3. 30% of ₱90 = ______

3Name the base, then change it — targets losing track of what the percentage is of

Say: “Per cent of WHAT? Write that number down first.”

Worked example. ₱200 up by 15%: base is ₱200, 15% of it is ₱30, new price ₱230.
  1. ₱500 up by 10%. Base: ______ Change: ______ New: ______
  2. ₱80 down by 25%. Base: ______ Change: ______ New: ______

4Two changes, two bases — targets "up 20 and down 20 is zero"

Say: “Write the base again before the second change.”

Worked example. ₱100 up 20% → ₱120. Then down 20% — of 120, not of 100 — is ₱24, so ₱96.
  1. ₱200 up 10%, then down 10%. First base ______ → ______ Second base ______ → ______
  2. Write in words why the answer is not ₱200: ______________________________________

Answer key — not printed on the learner's copy

  1. ₱40 · ₱9 · ₱125
  2. ₱80 · ₱20 · ₱27
  3. 500 / 50 / 550 · 80 / 20 / 60
  4. 200 → 220, then 220 → 198 · the second percentage was taken from a bigger amount