001
Set 01 · Q1/20
1/2 ÷ 1/4 = ?
HintKeep 1/2, change ÷ to ×, and flip 1/4 to 4/1.
01
Set 01 · Grade 6 · 20 Questions
Dividing Fractions by Fractions
Keep it, change it, flip it.
002
Set 01 · Q2/20
1/3 ÷ 1/6 = ?
HintKeep 1/3, change ÷ to ×, and flip 1/6 to 6/1.
003
Set 01 · Q3/20
2/3 ÷ 1/3 = ?
HintKeep 2/3, change ÷ to ×, and flip 1/3 to 3/1.
004
Set 01 · Q4/20
3/4 ÷ 1/8 = ?
HintKeep 3/4, change ÷ to ×, and flip 1/8 to 8/1.
005
Set 01 · Q5/20
1/2 ÷ 1/3 = ?
HintKeep 1/2, change ÷ to ×, and flip 1/3 to 3/1.
006
Set 01 · Q6/20
2/5 ÷ 1/10 = ?
HintKeep 2/5, change ÷ to ×, and flip 1/10 to 10/1.
007
Set 01 · Q7/20
3/4 ÷ 3/8 = ?
HintKeep-Change-Flip: keep the first fraction, change ÷ to ×, flip the second fraction.
008
Set 01 · Q8/20
5/6 ÷ 5/12 = ?
HintKeep-Change-Flip: keep the first fraction, change ÷ to ×, flip the second fraction.
009
Set 01 · Q9/20
7/8 ÷ 1/4 = ?
HintKeep-Change-Flip: keep the first fraction, change ÷ to ×, flip the second fraction.
010
Set 01 · Q10/20
4/5 ÷ 2/15 = ?
HintKeep-Change-Flip: keep the first fraction, change ÷ to ×, flip the second fraction.
011
Set 01 · Q11/20
5/8 ÷ 5/16 = ?
HintKeep-Change-Flip: keep the first fraction, change ÷ to ×, flip the second fraction.
012
Set 01 · Q12/20
9/10 ÷ 3/5 = ?
HintKeep-Change-Flip: keep the first fraction, change ÷ to ×, flip the second fraction.
013
Set 01 · Q13/20
4 ÷ 2/3 = ?
HintThink of 4 as 4/1, then keep-change-flip.
014
Set 01 · Q14/20
6 ÷ 3/4 = ?
HintThink of 6 as 6/1, then keep-change-flip.
015
Set 01 · Q15/20
3/5 ÷ 4 = ?
HintThink of 4 as 4/1, then keep-change-flip.
016
Set 01 · Q16/20
5/6 ÷ 3 = ?
HintThink of 3 as 3/1, then keep-change-flip.
017
Set 01 · Q17/20
1 1/2 ÷ 1/4 = ?
HintChange 1 1/2 to an improper fraction first: 3/2. Then keep-change-flip.
018
Set 01 · Q18/20
2 1/3 ÷ 5/6 = ?
HintChange 2 1/3 to an improper fraction first: 7/3. Then keep-change-flip.
019
Set 01 · Q19/20
1 3/4 ÷ 3/8 = ?
HintChange 1 3/4 to an improper fraction first: 7/4. Then keep-change-flip.
020
Set 01 · Q20/20
A ribbon is 3/4 yard long. If it is cut into pieces that are each 1/8 yard long, how many pieces can be made?
HintThis asks how many groups of 1/8 fit into 3/4 — that's division: 3/4 ÷ 1/8.
02
Set 02 · Grade 5 · 20 Questions
Adding & Subtracting Fractions with Unlike Denominators
Common denominators, common ground.
021
Set 02 · Q1/20
1/2 + 1/3 = ?
HintFind a common denominator for 2 and 3 first, then add the numerators.
022
Set 02 · Q2/20
1/3 + 1/4 = ?
HintFind a common denominator for 3 and 4 first, then add the numerators.
023
Set 02 · Q3/20
2/3 + 1/6 = ?
HintFind a common denominator for 3 and 6 first, then add the numerators.
024
Set 02 · Q4/20
1/4 + 1/5 = ?
HintFind a common denominator for 4 and 5 first, then add the numerators.
025
Set 02 · Q5/20
3/4 − 1/6 = ?
HintFind a common denominator for 4 and 6 first, then subtract the numerators.
026
Set 02 · Q6/20
5/6 − 1/3 = ?
HintFind a common denominator for 6 and 3 first, then subtract the numerators.
027
Set 02 · Q7/20
2/3 + 1/4 = ?
HintFind a common denominator for 3 and 4 first, then add the numerators.
028
Set 02 · Q8/20
7/8 − 1/4 = ?
HintFind a common denominator for 8 and 4 first, then subtract the numerators.
029
Set 02 · Q9/20
5/9 − 1/3 = ?
HintList multiples of 9 and 3 to find the least common denominator.
030
Set 02 · Q10/20
7/10 − 2/5 = ?
HintList multiples of 10 and 5 to find the least common denominator.
031
Set 02 · Q11/20
3/5 + 1/4 = ?
HintList multiples of 5 and 4 to find the least common denominator.
032
Set 02 · Q12/20
5/8 + 1/3 = ?
HintList multiples of 8 and 3 to find the least common denominator.
033
Set 02 · Q13/20
11/12 − 1/4 = ?
HintList multiples of 12 and 4 to find the least common denominator.
034
Set 02 · Q14/20
4/9 + 1/6 = ?
HintList multiples of 9 and 6 to find the least common denominator.
035
Set 02 · Q15/20
1 1/2 + 2 1/3 = ?
HintAdd or subtract the whole numbers and fractions separately, using a common denominator for the fractions.
036
Set 02 · Q16/20
2 3/4 − 1 1/2 = ?
HintAdd or subtract the whole numbers and fractions separately, using a common denominator for the fractions.
037
Set 02 · Q17/20
1 5/6 + 1 1/3 = ?
HintAdd or subtract the whole numbers and fractions separately, using a common denominator for the fractions.
038
Set 02 · Q18/20
3 1/4 − 1 5/6 = ?
HintAdd or subtract the whole numbers and fractions separately, using a common denominator for the fractions.
039
Set 02 · Q19/20
Mia jogged 3/4 of a mile in the morning and 1/6 of a mile in the evening. How far did she jog in all?
HintFind a common denominator for 4 and 6, then add the fractions.
040
Set 02 · Q20/20
A recipe needs 5/6 cup of flour, but Leo already added 1/3 cup. How much more flour does he need?
HintGive both fractions a common denominator, then subtract.
03
Set 03 · Grade 4–5 · 20 Questions
Multi-Digit Division
Estimate, divide, multiply, subtract, bring down.
041
Set 03 · Q1/20
Find the quotient: 84 ÷ 4 = ?
HintHow many groups of 4 fit into 84?
042
Set 03 · Q2/20
Find the quotient: 96 ÷ 6 = ?
HintHow many groups of 6 fit into 96?
043
Set 03 · Q3/20
Find the quotient: 72 ÷ 3 = ?
HintHow many groups of 3 fit into 72?
044
Set 03 · Q4/20
Find the quotient: 65 ÷ 5 = ?
HintHow many groups of 5 fit into 65?
045
Set 03 · Q5/20
Find the quotient: 98 ÷ 7 = ?
HintHow many groups of 7 fit into 98?
046
Set 03 · Q6/20
Find the quotient: 846 ÷ 6 = ?
HintDivide place by place: hundreds first, then tens, then ones.
047
Set 03 · Q7/20
Find the quotient: 936 ÷ 8 = ?
HintDivide place by place: hundreds first, then tens, then ones.
048
Set 03 · Q8/20
Find the quotient: 963 ÷ 3 = ?
HintDivide place by place: hundreds first, then tens, then ones.
049
Set 03 · Q9/20
Find the quotient: 768 ÷ 4 = ?
HintDivide place by place: hundreds first, then tens, then ones.
050
Set 03 · Q10/20
Find the quotient: 819 ÷ 9 = ?
HintDivide place by place: hundreds first, then tens, then ones.
051
Set 03 · Q11/20
Divide and find the remainder: 517 ÷ 4 = ?
HintDivide as far as you can. The remainder must be less than 4.
052
Set 03 · Q12/20
Divide and find the remainder: 683 ÷ 5 = ?
HintDivide as far as you can. The remainder must be less than 5.
053
Set 03 · Q13/20
Divide and find the remainder: 749 ÷ 6 = ?
HintDivide as far as you can. The remainder must be less than 6.
054
Set 03 · Q14/20
Divide and find the remainder: 905 ÷ 8 = ?
HintDivide as far as you can. The remainder must be less than 8.
055
Set 03 · Q15/20
Find the quotient: 864 ÷ 24 = ?
HintEstimate first: about how many times does 24 go into 864? Then check with multiplication.
056
Set 03 · Q16/20
Find the quotient: 936 ÷ 39 = ?
HintEstimate first: about how many times does 39 go into 936? Then check with multiplication.
057
Set 03 · Q17/20
Find the quotient: 715 ÷ 55 = ?
HintEstimate first: about how many times does 55 go into 715? Then check with multiplication.
058
Set 03 · Q18/20
Find the quotient: 918 ÷ 27 = ?
HintEstimate first: about how many times does 27 go into 918? Then check with multiplication.
059
Set 03 · Q19/20
Divide and find the remainder: 457 ÷ 23 = ?
HintEstimate, multiply, subtract, then check the remainder is less than 23.
060
Set 03 · Q20/20
Divide and find the remainder: 619 ÷ 34 = ?
HintEstimate, multiply, subtract, then check the remainder is less than 34.
04
Set 04 · Grade 5 · 20 Questions
Multiplying Fractions
Straight across, then simplify.
061
Set 04 · Q1/20
1/2 × 1/3 = ?
HintMultiply the numerators together, then multiply the denominators together. Simplify if you can.
062
Set 04 · Q2/20
2/3 × 1/4 = ?
HintMultiply the numerators together, then multiply the denominators together. Simplify if you can.
063
Set 04 · Q3/20
1/2 × 2/5 = ?
HintMultiply the numerators together, then multiply the denominators together. Simplify if you can.
064
Set 04 · Q4/20
3/4 × 1/3 = ?
HintMultiply the numerators together, then multiply the denominators together. Simplify if you can.
065
Set 04 · Q5/20
2/5 × 3/4 = ?
HintMultiply the numerators together, then multiply the denominators together. Simplify if you can.
066
Set 04 · Q6/20
1/3 × 3/5 = ?
HintMultiply the numerators together, then multiply the denominators together. Simplify if you can.
067
Set 04 · Q7/20
5/6 × 2/3 = ?
HintMultiply the numerators together, then multiply the denominators together. Simplify if you can.
068
Set 04 · Q8/20
3/8 × 2/3 = ?
HintMultiply the numerators together, then multiply the denominators together. Simplify if you can.
069
Set 04 · Q9/20
2/3 × 4 = ?
HintMultiply 2/3 by 4/1, then simplify.
070
Set 04 · Q10/20
3/5 × 10 = ?
HintMultiply 3/5 by 10/1, then simplify.
071
Set 04 · Q11/20
5/6 × 3 = ?
HintMultiply 5/6 by 3/1, then simplify.
072
Set 04 · Q12/20
2/9 × 3/4 = ?
HintMultiply straight across, then simplify by dividing out common factors.
073
Set 04 · Q13/20
4/5 × 5/8 = ?
HintMultiply straight across, then simplify by dividing out common factors.
074
Set 04 · Q14/20
3/10 × 5/6 = ?
HintMultiply straight across, then simplify by dividing out common factors.
075
Set 04 · Q15/20
1 1/2 × 2/3 = ?
HintChange each mixed number to an improper fraction first, then multiply straight across.
076
Set 04 · Q16/20
2 1/3 × 3/4 = ?
HintChange each mixed number to an improper fraction first, then multiply straight across.
077
Set 04 · Q17/20
1 2/3 × 1 1/4 = ?
HintChange each mixed number to an improper fraction first, then multiply straight across.
078
Set 04 · Q18/20
2 1/4 × 1 2/5 = ?
HintChange each mixed number to an improper fraction first, then multiply straight across.
079
Set 04 · Q19/20
A recipe uses 2/3 cup of sugar. Ben wants to make 3/4 of the recipe. How much sugar does he need?
HintMultiply the amount by the fraction of the recipe: 2/3 × 3/4.
080
Set 04 · Q20/20
A garden is 3/5 of a mile long. A path covers 5/6 of the garden's length. How long is the path?
HintMultiply the fractions: 3/5 × 5/6.
05
Set 05 · Grade 3 · 20 Questions
Equal Groups, Arrays & Unknown-Factor Division
Where multiplication and division shake hands.
081
Set 05 · Q1/20
A store arranges strawberries into 3 equal baskets, with 4 strawberries in each basket. How many strawberries are there in all?
HintThink of this as an array: 3 groups of 4. Multiply 4 × 3.
082
Set 05 · Q2/20
A store arranges stickers into 4 equal pages, with 5 stickers in each page. How many stickers are there in all?
HintThink of this as an array: 4 groups of 5. Multiply 5 × 4.
083
Set 05 · Q3/20
A store arranges apples into 3 equal bags, with 6 apples in each bag. How many apples are there in all?
HintThink of this as an array: 3 groups of 6. Multiply 6 × 3.
084
Set 05 · Q4/20
A store arranges pencils into 2 equal cups, with 7 pencils in each cup. How many pencils are there in all?
HintThink of this as an array: 2 groups of 7. Multiply 7 × 2.
085
Set 05 · Q5/20
A store arranges crayons into 3 equal boxes, with 8 crayons in each box. How many crayons are there in all?
HintThink of this as an array: 3 groups of 8. Multiply 8 × 3.
086
Set 05 · Q6/20
A store arranges tiles into 6 equal rows, with 6 tiles in each row. How many tiles are there in all?
HintThink of this as an array: 6 groups of 6. Multiply 6 × 6.
087
Set 05 · Q7/20
24 cookies are shared equally into 4 plates. How many cookies go in each plate?
HintAsk: 4 × ? = 24. Find the unknown factor.
088
Set 05 · Q8/20
35 flowers are shared equally into 5 vases. How many flowers go in each vase?
HintAsk: 5 × ? = 35. Find the unknown factor.
089
Set 05 · Q9/20
42 toy cars are shared equally into 6 shelves. How many toy cars go in each shelf?
HintAsk: 6 × ? = 42. Find the unknown factor.
090
Set 05 · Q10/20
48 marbles are shared equally into 8 jars. How many marbles go in each jar?
HintAsk: 8 × ? = 48. Find the unknown factor.
091
Set 05 · Q11/20
54 buttons are shared equally into 9 bags. How many buttons go in each bag?
HintAsk: 9 × ? = 54. Find the unknown factor.
092
Set 05 · Q12/20
63 pencils are shared equally into 7 cups. How many pencils go in each cup?
HintAsk: 7 × ? = 63. Find the unknown factor.
093
Set 05 · Q13/20
A classroom has desks arranged in an array with 7 rows and 5 columns. How many desks are there in total?
HintAn array's total = rows × columns.
094
Set 05 · Q14/20
A classroom has chairs arranged in an array with 8 rows and 6 columns. How many chairs are there in total?
HintAn array's total = rows × columns.
095
Set 05 · Q15/20
A classroom has tiles arranged in an array with 9 rows and 4 columns. How many tiles are there in total?
HintAn array's total = rows × columns.
096
Set 05 · Q16/20
A classroom has lockers arranged in an array with 6 rows and 7 columns. How many lockers are there in total?
HintAn array's total = rows × columns.
097
Set 05 · Q17/20
A theater has 72 seats arranged in 8 equal rows. How many seats are in each row?
HintFind the missing factor: 8 × ? = 72.
098
Set 05 · Q18/20
A theater has 81 grapes arranged in 9 equal clusters. How many grapes are in each cluster?
HintFind the missing factor: 9 × ? = 81.
099
Set 05 · Q19/20
A theater has 96 stamps arranged in 8 equal pages. How many stamps are in each page?
HintFind the missing factor: 8 × ? = 96.
100
Set 05 · Q20/20
A garden has 84 plants arranged in an array with 7 equal rows. How many plants are in each row?
HintUse the unknown-factor idea: 7 × ? = 84.