Free Year 5 Percentage as fraction/decimal Practice | Skillo

Question 1 — Easy

Zac is saving money to buy a new surfboard. He earns the same amount each week doing odd jobs. After 9 weeks he has saved $306. He then spends $54 on a wetsuit. Which equation can be used to find n, the amount Zac had left after buying the wetsuit, and what is the value of n?

Answer: Zac has already saved the full $306 over 9 weeks. The question asks how much he has left after spending $54, so n = 306 − 54 = 252. The 9-week detail is context — it is not needed to solve for n. Option A incorrectly subtracts the wetsuit cost first, then divides by 9, as if asking "how much per week would remain" — that is not what the question asks. Option C divides the wetsuit cost by 9 before subtracting, misapplying the division to the wrong value. Option D divides total savings by 9 and then adds the wetsuit cost rather than subtracting, applying the wrong operation.

Question 2 — Medium

Anika is packing gift boxes for a school fundraiser. She has 216 chocolate coins to pack equally into boxes, and each box must hold the same number of coins. If the total number of coins is equivalent to 9 multiplied by an unknown number of coins per box, and each box is then placed into a crate that holds 4 boxes, how many chocolate coins does each crate contain? Find the value of the unknown coins per box first, then calculate the total per crate.

Answer: First, find the unknown: 9 × n = 216, so n = 216 ÷ 9 = 24 coins per box. Each crate holds 4 boxes, so the total per crate is 24 × 4 = 96 chocolate coins. Option B (108) results from dividing 216 by 2 instead of 9. Option C (24) is the coins per box — the student stops after the first step. Option D (54) results from dividing 216 by 4, skipping the division by 9 entirely.

Question 3 — Hard

Priya wants to buy a pair of running shoes priced at $120. The sports store is offering a 35% discount. After the discount, Priya also has to pay $8.50 for delivery. What is the total amount Priya pays?

Answer: 35% of $120 = 0.35 × $120 = $42, so the discounted price is $120 − $42 = $78.00. Adding the $8.50 delivery fee gives $78.00 + $8.50 = $86.50. Option B ignores the delivery fee. Option C uses an incorrect discount calculation (subtracting $35 instead of 35%). Option D applies the discount incorrectly as 25% ($30 off = $90) then adds delivery.