This is the marking copy and it carries every answer. Her sheet is the other file — same numbering, same margin codes, so you can mark straight down the page.
Which of the following is an equivalent fraction of 3/4?
(1) 12/24 (2) 9/16 (3) 5/6 (4) 6/8
answer (4) — 6/8
method Multiply the top and bottom of 3/4 by the same number: × 2 gives 6/8. Checking the others: 12/24 simplifies to 1/2, 9/16 and 5/6 do not reduce to 3/4.
watch Picking 9/16 because 3 × 3 = 9 and 4 × 4 = 16. Both parts must be multiplied by the SAME number, not each by itself.
Which of the following is NOT an equivalent fraction of 1/4?
(A) 2/8 (B) 3/12 (C) 5/8 (D) 25/100
answer (C) — 5/8
method Multiply the top and bottom of 1/4 by the same number: × 2 gives 2/8 ✓, × 3 gives 3/12 ✓, × 25 gives 25/100 ✓. For eighths you would need 2/8 to make 1/4, so 5/8 is the odd one out.
watch Reading past the word NOT and picking one that IS equivalent. Underline NOT before looking at the options.
Arrange the following from the greatest to the smallest: 9/20, 0.54, 4.05, 1/2
(A) 9/20, 0.54, 1/2, 4.05 (B) 1/2, 9/20, 0.54, 4.05 (C) 4.05, 0.54, 9/20, 1/2 (D) 4.05, 0.54, 1/2, 9/20
answer (D) — 4.05, 0.54, 1/2, 9/20
method Turn everything into decimals so they can be compared directly: 9/20 = 45/100 = 0.45, and 1/2 = 0.5. Now the list is 0.45, 0.54, 4.05, 0.5. Greatest to smallest: 4.05, then 0.54, then 0.5 (= 1/2), then 0.45 (= 9/20).
watch Comparing 0.54 and 0.5 by counting digits and deciding 0.54 is "longer so bigger" — true here, but it fails for 0.5 versus 0.45. Line up the tenths first, every time.
Which of the following is NOT an equivalent fraction of 1/4?
(1) 2/8 (2) 3/12 (3) 5/16 (4) 6/24
answer (3) — 5/16
method Multiply the top and bottom of 1/4 by the same number: 2/8 ✓, 3/12 ✓, 6/24 ✓. For sixteenths you would need 4/16 to make 1/4, so 5/16 is the one that does not fit.
watch Reading past the word NOT and picking one that IS equivalent. Underline NOT before looking at the options.