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Grade 4 math review pack
30 mixed questions from every topic in Grade 4, with an answer key and explanations. Great for the start of the year, before a test, or over the holidays.
The Math Meridian
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Grade 4 Math Review Pack
Name: ____________________Date: ____________Score: ____ / 30
- Number SenseWrite this number in digits: five thousand two hundred ninety-three.Answer: ______________________
- Which sign makes this true? $8{,}619 \; \square \; 8{,}619$A. $<$B. $>$C. $=$
- Addition and SubtractionEstimate by rounding to the nearest 100: $7{,}906 + 8{,}080$A. 15,900B. 16,000C. 16,100D. 15,700
- A mountain is 3,213 m tall. Maya has climbed 2,652 m. How many more metres to the top?Answer: ______________________
- Multiplication$\square \times 10 = 30$. What number goes in the box?Answer: ______________________
- $62 \times 3$ = ?Answer: ______________________
- Division74 students go on a trip. Each van holds 9 students. How many vans are needed?Answer: ______________________
- $12 \div \square = 3$. What number goes in the box?Answer: ______________________
- FractionsWrite $1\dfrac{7}{10}$ as an improper fraction. Write it like 7/4.Answer: ______________________
- Which sign makes this true? $\dfrac{1}{6} \; \square \; \dfrac{1}{8}$A. $<$B. $>$C. $=$
- DecimalsJayden ran 5.94 km on Saturday and 2.22 km on Sunday. How many kilometres in total?Answer: ______________________
- $8.54 - 7.78$ = ?Answer: ______________________
- Factors and MultiplesWhat is the prime factorization of 105?A. $3 \times 5 \times 7 \times 2$B. $15 \times 7$C. $3 \times 5 \times 7$D. $3 \times 5 \times 8$
- How many multiples of 3 are between 20 and 59 (including both)?Answer: ______________________
- Squares and Square RootsA square has an area of 25 cm². How long is each side? (in cm)Answer: ______________________
- Which number is a perfect square?A. 441B. 446C. 442D. 443
- IntegersA diver is at −17 m (below sea level). She swims up 15 m. What is her new position in metres?Answer: ______________________
- $-6 + (-11)$ = ?Answer: ______________________
- Order of Operations$16+48 \div 8-7$ = ?Answer: ______________________
- What is $3 + 7 \times 5$?A. 50B. 15C. 105D. 38
- Patterns and Algebrax = 10. Repeat 3 times: x = x × 2. What is x at the end?Answer: ______________________
- What is the value of $n^2 + 2n$ when $n = 9$?Answer: ______________________
- Money and Financial Literacy$\$95.63$ + $\$6.75$ = ?A. $\$102.37$B. $\$102.38$C. $\$102.48$D. $\$103.38$
- Pack A: 2 pens for $\$9$. Pack B: 4 pens for $\$15$. Which is the better buy?A. Pack AB. They cost the same per penC. Pack B
- MeasurementWhat is the perimeter of a square with sides of 39 cm?Answer: ______________________
- A trip starts at 5:35 and takes 1 h 15 min. What time does it end? Write it like 3:45.Answer: ______________________
- Shapes and GeometryHow many edges does a hexagonal pyramid have?Answer: ______________________
- What kind of angle is this?A. acuteB. rightC. obtuseD. straight
- DataWhat is the difference between the tallest and shortest bars?Answer: ______________________
- Contest ProblemsToday is Tuesday. What day will it be in 46 days?A. WednesdayB. TuesdayC. SaturdayD. Monday
Answer key
- 5293 — five thousand two hundred ninety-three = 5,293.
- C ($=$) — They are equal.
- B (16,000) — Round first: 7,906 → 7,900 and 8,080 → 8,100. Then add: 16,000.
- 561 — Find the difference: 3,213 − 2,652 = 561 m.
- 3 — 30 ÷ 10 = 3.
- 186 — Split 62 into 60 + 2. 60 × 3 = 180 and 2 × 3 = 6. 180 + 6 = 186.
- 9 — 74 ÷ 9 = 8 R2. The 2 extra students still need a van, so 9 vans.
- 4 — 12 ÷ 4 = 3.
- 17/10 — 1 whole = 1 × 10 = 10 pieces of size 1/10, which is 10/10. Add 7/10: 17/10.
- B ($>$) — Make common denominators: 1/6 = 8/48 and 1/8 = 6/48. Compare 8 and 6.
- 8.16 — 5.94 + 2.22 = 8.16 km.
- 0.76 — Line up the decimal points and subtract as with whole numbers: 8.54 − 7.78 = 0.76.
- C ($3 \times 5 \times 7$) — Divide by primes until you reach 1: 105 = 3 × 5 × 7. Every factor is prime (15 is not prime).
- 13 — The first multiple of 3 that is 20 or more is 21; the last that is 59 or less is 57. Counting by 3s gives 13.
- 5 — Side × side = 25, so side = √25 = 5 cm.
- A (441) — 441 = 21 × 21, so it is a perfect square. The others are not a whole number times itself.
- -2 — Up means add: −17 + 15 = −2 m.
- -17 — Same signs: add the sizes (6 + 11 = 17) and keep the sign: −17.
- 15 — First 48 ÷ 8 = 6. Then left to right: 16 + 6 − 7 = 15. Remember: × and ÷ come before + and −.
- D (38) — Multiply first: 7 × 5 = 35. Then add: 3 + 35 = 38. (50 is what you get by wrongly adding first.)
- 80 — 10 → 20 → 40 → 80.
- 99 — Replace n with 9: $9^2 + 2 \times 9$ = 99.
- B ($\$102.38$) — Line up the decimal points: $\$95.63$ + $\$6.75$ = $\$102.38$.
- C (Pack B) — 2 packs of A would be 4 pens for $\$18$. Pack B gives 4 pens for only $\$15$, so B is the better buy.
- 156 — A square has 4 equal sides: 4 × 39 = 156 cm.
- 6:50 — Add the hours, then the minutes: 5:35 + 1 h = 6:35, then + 15 min = 6:50.
- 12 — A pyramid with a 6-sided base has 6 + 1 faces, 2 × 6 edges and 6 + 1 vertices: 7 faces, 12 edges, 7 vertices.
- C (obtuse) — Compare with a square corner (90°). It is wider but not a straight line, so it is obtuse.
- 35 — Tallest 50, shortest 15: 50 − 15 = 35.
- C (Saturday) — Every 7 days is the same weekday. 46 = 6 × 7 + 4, so count 4 days on from Tuesday: Saturday.
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