Practice · Start where only one thing is unknown · Sensim Math

Variant 1 easy

A proportion is to be built whose value is $0.5$ and whose extremes multiply to $136$ . Fill in the boxes.

$\square : 34 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 0.5, its second term is 34, and its outer terms multiply to 136. We want all three missing terms.

Givens

The value of each ratio is 0.5.
The second term is 34.
The extremes multiply to 136.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 34 with value 0.5, so the first term is 34 times 0.5.

34 \times 0.5 = 17

The first term is 17.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 136.

136 \div 17 = 8

The last term is 8.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 8 times 0.5.

8 \times 0.5 = 4

The third term is 4.

Answer: 17 : 34 = 4 : 8

4 · Reviewdoes it hold up?

Both ratios have value 0.5, and the extremes 17 and 8 multiply to 136 -- as do the means, 34 and 4, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 2 easy

A proportion is to be built whose value is $0.5$ and whose extremes multiply to $220$ . Fill in the boxes.

$\square : 20 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 0.5, its second term is 20, and its outer terms multiply to 220. We want all three missing terms.

Givens

The value of each ratio is 0.5.
The second term is 20.
The extremes multiply to 220.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 20 with value 0.5, so the first term is 20 times 0.5.

20 \times 0.5 = 10

The first term is 10.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 220.

220 \div 10 = 22

The last term is 22.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 22 times 0.5.

22 \times 0.5 = 11

The third term is 11.

Answer: 10 : 20 = 11 : 22

4 · Reviewdoes it hold up?

Both ratios have value 0.5, and the extremes 10 and 22 multiply to 220 -- as do the means, 20 and 11, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 3 easy

A proportion is to be built whose value is $1.5$ and whose extremes multiply to $360$ . Fill in the boxes.

$\square : 20 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 1.5, its second term is 20, and its outer terms multiply to 360. We want all three missing terms.

Givens

The value of each ratio is 1.5.
The second term is 20.
The extremes multiply to 360.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 20 with value 1.5, so the first term is 20 times 1.5.

20 \times 1.5 = 30

The first term is 30.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 360.

360 \div 30 = 12

The last term is 12.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 12 times 1.5.

12 \times 1.5 = 18

The third term is 18.

Answer: 30 : 20 = 18 : 12

4 · Reviewdoes it hold up?

Both ratios have value 1.5, and the extremes 30 and 12 multiply to 360 -- as do the means, 20 and 18, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 4 easy

A proportion is to be built whose value is $0.5$ and whose extremes multiply to $442$ . Fill in the boxes.

$\square : 34 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 0.5, its second term is 34, and its outer terms multiply to 442. We want all three missing terms.

Givens

The value of each ratio is 0.5.
The second term is 34.
The extremes multiply to 442.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 34 with value 0.5, so the first term is 34 times 0.5.

34 \times 0.5 = 17

The first term is 17.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 442.

442 \div 17 = 26

The last term is 26.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 26 times 0.5.

26 \times 0.5 = 13

The third term is 13.

Answer: 17 : 34 = 13 : 26

4 · Reviewdoes it hold up?

Both ratios have value 0.5, and the extremes 17 and 26 multiply to 442 -- as do the means, 34 and 13, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 5 medium

A proportion is to be built whose value is $2.5$ and whose extremes multiply to $700$ . Fill in the boxes.

$\square : 28 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 2.5, its second term is 28, and its outer terms multiply to 700. We want all three missing terms.

Givens

The value of each ratio is 2.5.
The second term is 28.
The extremes multiply to 700.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 28 with value 2.5, so the first term is 28 times 2.5.

28 \times 2.5 = 70

The first term is 70.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 700.

700 \div 70 = 10

The last term is 10.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 10 times 2.5.

10 \times 2.5 = 25

The third term is 25.

Answer: 70 : 28 = 25 : 10

4 · Reviewdoes it hold up?

Both ratios have value 2.5, and the extremes 70 and 10 multiply to 700 -- as do the means, 28 and 25, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 6 medium

A proportion is to be built whose value is $0.5$ and whose extremes multiply to $722$ . Fill in the boxes.

$\square : 38 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 0.5, its second term is 38, and its outer terms multiply to 722. We want all three missing terms.

Givens

The value of each ratio is 0.5.
The second term is 38.
The extremes multiply to 722.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 38 with value 0.5, so the first term is 38 times 0.5.

38 \times 0.5 = 19

The first term is 19.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 722.

722 \div 19 = 38

The last term is 38.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 38 times 0.5.

38 \times 0.5 = 19

The third term is 19.

Answer: 19 : 38 = 19 : 38

4 · Reviewdoes it hold up?

Both ratios have value 0.5, and the extremes 19 and 38 multiply to 722 -- as do the means, 38 and 19, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 7 medium

A proportion is to be built whose value is $2$ and whose extremes multiply to $1120$ . Fill in the boxes.

$\square : 16 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 2, its second term is 16, and its outer terms multiply to 1120. We want all three missing terms.

Givens

The value of each ratio is 2.
The second term is 16.
The extremes multiply to 1120.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 16 with value 2, so the first term is 16 times 2.

16 \times 2 = 32

The first term is 32.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 1120.

1120 \div 32 = 35

The last term is 35.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 35 times 2.

35 \times 2 = 70

The third term is 70.

Answer: 32 : 16 = 70 : 35

4 · Reviewdoes it hold up?

Both ratios have value 2, and the extremes 32 and 35 multiply to 1120 -- as do the means, 16 and 70, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 8 medium

A proportion is to be built whose value is $1.5$ and whose extremes multiply to $1254$ . Fill in the boxes.

$\square : 22 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 1.5, its second term is 22, and its outer terms multiply to 1254. We want all three missing terms.

Givens

The value of each ratio is 1.5.
The second term is 22.
The extremes multiply to 1254.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 22 with value 1.5, so the first term is 22 times 1.5.

22 \times 1.5 = 33

The first term is 33.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 1254.

1254 \div 33 = 38

The last term is 38.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 38 times 1.5.

38 \times 1.5 = 57

The third term is 57.

Answer: 33 : 22 = 57 : 38

4 · Reviewdoes it hold up?

Both ratios have value 1.5, and the extremes 33 and 38 multiply to 1254 -- as do the means, 22 and 57, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 9 hard

A proportion is to be built whose value is $2.5$ and whose extremes multiply to $1540$ . Fill in the boxes.

$\square : 22 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 2.5, its second term is 22, and its outer terms multiply to 1540. We want all three missing terms.

Givens

The value of each ratio is 2.5.
The second term is 22.
The extremes multiply to 1540.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 22 with value 2.5, so the first term is 22 times 2.5.

22 \times 2.5 = 55

The first term is 55.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 1540.

1540 \div 55 = 28

The last term is 28.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 28 times 2.5.

28 \times 2.5 = 70

The third term is 70.

Answer: 55 : 22 = 70 : 28

4 · Reviewdoes it hold up?

Both ratios have value 2.5, and the extremes 55 and 28 multiply to 1540 -- as do the means, 22 and 70, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 10 hard

A proportion is to be built whose value is $2$ and whose extremes multiply to $2088$ . Fill in the boxes.

$\square : 36 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 2, its second term is 36, and its outer terms multiply to 2088. We want all three missing terms.

Givens

The value of each ratio is 2.
The second term is 36.
The extremes multiply to 2088.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 36 with value 2, so the first term is 36 times 2.

36 \times 2 = 72

The first term is 72.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 2088.

2088 \div 72 = 29

The last term is 29.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 29 times 2.

29 \times 2 = 58

The third term is 58.

Answer: 72 : 36 = 58 : 29

4 · Reviewdoes it hold up?

Both ratios have value 2, and the extremes 72 and 29 multiply to 2088 -- as do the means, 36 and 58, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 11 hard

A proportion is to be built whose value is $2$ and whose extremes multiply to $2448$ . Fill in the boxes.

$\square : 34 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 2, its second term is 34, and its outer terms multiply to 2448. We want all three missing terms.

Givens

The value of each ratio is 2.
The second term is 34.
The extremes multiply to 2448.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 34 with value 2, so the first term is 34 times 2.

34 \times 2 = 68

The first term is 68.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 2448.

2448 \div 68 = 36

The last term is 36.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 36 times 2.

36 \times 2 = 72

The third term is 72.

Answer: 68 : 34 = 72 : 36

4 · Reviewdoes it hold up?

Both ratios have value 2, and the extremes 68 and 36 multiply to 2448 -- as do the means, 34 and 72, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Variant 12 hard

A proportion is to be built whose value is $2.5$ and whose extremes multiply to $3420$ . Fill in the boxes.

$\square : 36 = \square : \square$

Your answer (check it yourself)

Show solution

1 · Understandwhat's really being asked

A proportion has value 2.5, its second term is 36, and its outer terms multiply to 3420. We want all three missing terms.

Givens

The value of each ratio is 2.5.
The second term is 36.
The extremes multiply to 3420.

Unknowns

The first, third and fourth terms.

Constraints

The extremes are the first and last terms, not the middle two.

2 · Planchoose the strategy

#3 Eliminate Possibilities · also uses: #13 Convert to Algebra#7 Identify Subproblems

Three blanks and two facts, so nothing can be done all at once. Start at the ratio that already has a term printed: there the value fixes the partner, and every later step then has only one unknown too.

3 · Execute3 carry out the plan

1Use the printed term

#3 Eliminate Possibilities 6.RP.A.3

The first ratio is something to 36 with value 2.5, so the first term is 36 times 2.5.

36 \times 2.5 = 90

The first term is 90.

2Use the extremes

#13 Convert to Algebra 7.RP.A.2

The extremes are the first and last terms, and they multiply to 3420.

3420 \div 90 = 38

The last term is 38.

3Use the value again

#7 Identify Subproblems 6.RP.A.3

The second ratio has the same value, so its first term is 38 times 2.5.

38 \times 2.5 = 95

The third term is 95.

Answer: 90 : 36 = 95 : 38

4 · Reviewdoes it hold up?

Both ratios have value 2.5, and the extremes 90 and 38 multiply to 3420 -- as do the means, 36 and 95, which is what makes it a proportion.

Another way: Starting from the extremes' product alone leaves two unknowns in one equation and cannot get going; the printed term is what makes the first step possible.

Standardsmin grade 7

7.RP.A.2 Recognize and represent proportional relationships between quantities — Using the equality of the two products in a proportion.
6.RP.A.3 Use ratio and rate reasoning to solve problems — Getting each term from the ratio's value.

💡Takeaway. With several blanks, look for the one place a single fact settles something. Fill that in and the rest follow.

Start where only one thing is unknown · 12 practice problems

Generated variants — 12

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