Optional extensions · two… | Year 5 Maths · T1 W3–4 · Daily Extras

The 25-minute core is complete without these. Use one A/B extension when the learner wants more practice or the timetable offers another 10–12 minutes. At home, no printing, screen, purchase or parent marking is required; a family can opt out. Paper, fingers, spoken reasoning, AAC, a tactile strip or a school-approved tool are enough. Do not use real family spending, distances, records or child names. The teacher key gives results and next moves.

Day 11 · Bound the answer

A · Near-ten comparison: Without exact multiplication first, place 39×21 between 39×20 and 40×21. Then calculate the product and explain your bounds.
B · Scale detective: A fictional answer for 62×15 is 93. Use 60×15 to prove the scale error, then repair it with an exact route.

Day 12 · Zero does a job

A · Placeholder build: Compare 504×3 with 54×3 using place cards. Calculate both and explain why the inserted zero is not harmless.
B · Spoken partitions: An adult reads 706×4. Name the hundreds, tens and ones partials aloud or in AAC before giving the total.

Day 13 · Tens row

A · Missing row: A child writes 84×27 = 84×20 + 84×7 but records the first part as 168. Repair and finish the product.
B · Reverse check: Find 46×32 two ways: 46×(30+2) and (40+6)×32. Show why both agree.

Day 14 · Strategy comparison

A · Near-twenty: Calculate 214×19 as 214×20−214. State a reasonable rounded check.
B · Convenient quarter: Find 25×48 with 25×(4×12) or 25×(50−2). Explain which route you prefer and why.

Day 15 · After the check

A · Error story: Repair 132×14=1,320+428=1,748. Name the wrong partial product, then say whether the final result survives. Use a new problem, not the check.
B · Make a near estimate: Invent a two-digit multiplier for 119 so the answer is near 2,400; give one exact example and justify the estimate.

Day 16 · Money without private data

A · Fictional paper costs: 14 made-up sets at $29 each, with a $420 limit. Estimate, calculate and find the exact difference.
B · Missing price: A model total for 12 items is $456. Find a possible equal unit price; say why a real price claim would need a source.

Day 17 · Two checks

A · Fact-family card: Calculate 306×8; write both related divisions and a nearby benchmark. Check that the product still fits the scale.
B · Wrong inverse: Someone claims 2,730÷7=390 checks 390×7=2,370. Find the mismatch and correct the product or quotient as needed.

Day 18 · Unknowns with meaning

A · Missing factor: Solve ?×18=900, then substitute and explain why ?=5 misses a place.
B · Two equivalent routes: Find ? in 24×?=1,008 by splitting 1,008 or trying nearby multiples; verify exactly.

Day 19 · Missing criterion

A · Same amount: Compare 12×50 and 20×30. The totals match. Name two different possible constraints that could favour different layouts, without asserting either constraint was given.
B · Cost cannot be guessed: A note says 28 packs of 15 and 21 packs of 20 have the same count. Compute the count; explain why neither plan can be called cheaper without prices.

Day 20 · After the check

A · Teach the method: Make an original 2-digit multiplication card for a fictional art display, solve it, then deliberately write one wrong-place partial product for a partner to repair. Keep the fresh check unseen.
B · Explain the decision: Make two different equal-total arrangements and one explicit bundle-count limit. Show both products and say which meets your limit; ask what remains unknown.