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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.

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Grade 4 Math Review Pack

Name: ____________________Date: ____________Score: ____ / 30
  1. Number Sense
    Write this number in digits: five thousand two hundred ninety-three.
    Answer: ______________________
  2. Which sign makes this true? $8{,}619 \; \square \; 8{,}619$
    A. $<$B. $>$C. $=$
  3. Addition and Subtraction
    Estimate by rounding to the nearest 100: $7{,}906 + 8{,}080$
    A. 15,900B. 16,000C. 16,100D. 15,700
  4. A mountain is 3,213 m tall. Maya has climbed 2,652 m. How many more metres to the top?
    Answer: ______________________
  5. Multiplication
    $\square \times 10 = 30$. What number goes in the box?
    Answer: ______________________
  6. $62 \times 3$ = ?
    Answer: ______________________
  7. Division
    74 students go on a trip. Each van holds 9 students. How many vans are needed?
    Answer: ______________________
  8. $12 \div \square = 3$. What number goes in the box?
    Answer: ______________________
  9. Fractions
    Write $1\dfrac{7}{10}$ as an improper fraction. Write it like 7/4.
    Answer: ______________________
  10. Which sign makes this true? $\dfrac{1}{6} \; \square \; \dfrac{1}{8}$
    A. $<$B. $>$C. $=$
  11. Decimals
    Jayden ran 5.94 km on Saturday and 2.22 km on Sunday. How many kilometres in total?
    Answer: ______________________
  12. $8.54 - 7.78$ = ?
    Answer: ______________________
  13. Factors and Multiples
    What 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. $3 \times 5 \times 8$
  14. How many multiples of 3 are between 20 and 59 (including both)?
    Answer: ______________________
  15. Squares and Square Roots
    A square has an area of 25 cm². How long is each side? (in cm)
    Answer: ______________________
  16. Which number is a perfect square?
    A. 441B. 446C. 442D. 443
  17. Integers
    A diver is at −17 m (below sea level). She swims up 15 m. What is her new position in metres?
    Answer: ______________________
  18. $-6 + (-11)$ = ?
    Answer: ______________________
  19. Order of Operations
    $16+48 \div 8-7$ = ?
    Answer: ______________________
  20. What is $3 + 7 \times 5$?
    A. 50B. 15C. 105D. 38
  21. Patterns and Algebra
    x = 10. Repeat 3 times: x = x × 2. What is x at the end?
    Answer: ______________________
  22. What is the value of $n^2 + 2n$ when $n = 9$?
    Answer: ______________________
  23. Money and Financial Literacy
    $\$95.63$ + $\$6.75$ = ?
    A. $\$102.37$B. $\$102.38$C. $\$102.48$D. $\$103.38$
  24. 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
  25. Measurement
    What is the perimeter of a square with sides of 39 cm?
    Answer: ______________________
  26. A trip starts at 5:35 and takes 1 h 15 min. What time does it end? Write it like 3:45.
    Answer: ______________________
  27. Shapes and Geometry
    How many edges does a hexagonal pyramid have?
    Answer: ______________________
  28. What kind of angle is this?
    A. acuteB. rightC. obtuseD. straight
  29. Data
    What is the difference between the tallest and shortest bars?
    Answer: ______________________
  30. Contest Problems
    Today is Tuesday. What day will it be in 46 days?
    A. WednesdayB. TuesdayC. SaturdayD. Monday

Answer key

  1. 5293 — five thousand two hundred ninety-three = 5,293.
  2. C ($=$) — They are equal.
  3. B (16,000) — Round first: 7,906 → 7,900 and 8,080 → 8,100. Then add: 16,000.
  4. 561 — Find the difference: 3,213 − 2,652 = 561 m.
  5. 3 — 30 ÷ 10 = 3.
  6. 186 — Split 62 into 60 + 2. 60 × 3 = 180 and 2 × 3 = 6. 180 + 6 = 186.
  7. 9 — 74 ÷ 9 = 8 R2. The 2 extra students still need a van, so 9 vans.
  8. 4 — 12 ÷ 4 = 3.
  9. 17/10 — 1 whole = 1 × 10 = 10 pieces of size 1/10, which is 10/10. Add 7/10: 17/10.
  10. B ($>$) — Make common denominators: 1/6 = 8/48 and 1/8 = 6/48. Compare 8 and 6.
  11. 8.16 — 5.94 + 2.22 = 8.16 km.
  12. 0.76 — Line up the decimal points and subtract as with whole numbers: 8.54 − 7.78 = 0.76.
  13. 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).
  14. 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.
  15. 5 — Side × side = 25, so side = √25 = 5 cm.
  16. A (441) — 441 = 21 × 21, so it is a perfect square. The others are not a whole number times itself.
  17. -2 — Up means add: −17 + 15 = −2 m.
  18. -17 — Same signs: add the sizes (6 + 11 = 17) and keep the sign: −17.
  19. 15 — First 48 ÷ 8 = 6. Then left to right: 16 + 6 − 7 = 15. Remember: × and ÷ come before + and −.
  20. D (38) — Multiply first: 7 × 5 = 35. Then add: 3 + 35 = 38. (50 is what you get by wrongly adding first.)
  21. 80 — 10 → 20 → 40 → 80.
  22. 99 — Replace n with 9: $9^2 + 2 \times 9$ = 99.
  23. B ($\$102.38$) — Line up the decimal points: $\$95.63$ + $\$6.75$ = $\$102.38$.
  24. 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.
  25. 156 — A square has 4 equal sides: 4 × 39 = 156 cm.
  26. 6:50 — Add the hours, then the minutes: 5:35 + 1 h = 6:35, then + 15 min = 6:50.
  27. 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.
  28. C (obtuse) — Compare with a square corner (90°). It is wider but not a straight line, so it is obtuse.
  29. 35 — Tallest 50, shortest 15: 50 − 15 = 35.
  30. 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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