Went Up By vs Went Up To
Explore how short reports describe starting values, amounts of change, and final totals.
Preview
Questions with solutions-
1. Piliin ang tamang sagot.
How much does a ticket cost now?
Tickets cost $12 last week. This week, the price went up by $3.
- $15
- $3
- $12
Is $3 the increase or the final price?
Show solution
- $15
“By $3” describes the amount added to the old price: $12 + $3.
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2. Punan ang patlang.
The bus fare used to be $2.50. It is now $3.
The fare went up ___ $3.
- by
- to
- from
The figure after the gap is the new fare.
Show solution
The fare went up to $3.
“To” introduces the final value. The increase itself was only 50 cents.
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3. Piliin ang tamang sagot.
What does “from 8 minutes” tell us?
The average wait went up from 8 minutes to 11 minutes.
- The wait increased by 8 minutes.
- The final average wait was 8 minutes.
- The average wait was 8 minutes before the increase.
Think about where the change began.
Show solution
- The average wait was 8 minutes before the increase.
“From” marks the starting value, while “to” marks the ending value.
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4. Punan ang mga patlang.
The class had 18 students last year and has 24 this year.
Enrollment went up ___ 18 students ___ 24 students.
- to
- by
- from
The first figure is the old total; the second is the new total.
Show solution
Enrollment went up from 18 students to 24 students.
“From ... to ...” gives both endpoints. Here, the number of students increased by six.
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5. Punan ang patlang.
The delivery fee fell from $8 to $6.
The fee went down ___ $2.
- from
- by
- to
The fee is now $6, not $2.
Show solution
The fee went down by $2.
“By” also describes the amount of a decrease: $8 − $6 = $2.
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6. Piliin ang tamang sagot.
Which report matches the temperature readings?
Water temperature before heating: 60°F. Water temperature after heating: 75°F.
- The temperature rose by 75°F.
- The temperature rose from 75°F to 60°F.
- The temperature rose to 75°F.
Keep the final temperature separate from the amount of change.
Show solution
- The temperature rose to 75°F.
With “by,” the correct figure would be 15°F—the difference between the two readings.
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7. Piliin ang tamang sagot.
Which session ended with exactly 20 people?
Weekday attendance started at 40 people and rose by 20. Weekend attendance rose to 20 people.
- The weekend session only.
- The weekday session only.
- Both sessions.
The same figure can describe an increase in one report and a total in another.
Show solution
- The weekend session only.
Weekday attendance reached 60 people. Identical numbers after “by” and “to” do not describe identical results.
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8. Piliin ang tamang sagot.
What can we tell about the amount of the increase?
The report says, “The account balance went up to $900.” It does not mention the previous balance.
- The balance increased by exactly $900.
- The amount of the increase is not given.
Could different starting balances lead to the same final balance?
Show solution
- The amount of the increase is not given.
A final value alone does not reveal the size of the change; you also need the starting value.
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9. Punan ang mga patlang.
The shop sold 80 items on Monday and 100 on Tuesday.
Daily sales rose ___ 20 items ___ a total of 100.
- from
- to
- by
One figure gives the difference; the other gives the final total.
Show solution
Daily sales rose by 20 items to a total of 100.
A report can use “by” and “to” together to state both the increase and the resulting total.
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10. Piliin ang tamang sagot.
Which statement accurately reports the price change?
A jacket originally cost $100. Its price went up by 50%.
- The price went up to $50.
- The price went up by $150.
- The price went up to $150.
Find 50% of the original price, then add that amount.
Show solution
- The price went up to $150.
An increase of 50% makes the new price 150% of the original price, not 50%.
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11. Piliin ang tamang sagot.
Which sentence summarizes the overall change?
The average wait rose from 10 minutes to 15 minutes, then rose by another 5 minutes.
- Overall, the wait rose by 10 minutes to 20 minutes.
- Overall, the wait rose by 5 minutes to 20 minutes.
- Overall, the wait rose by 10 minutes to 15 minutes.
Compare the original wait with the wait after both increases.
Show solution
- Overall, the wait rose by 10 minutes to 20 minutes.
For an overall change, use the original starting point and the final endpoint, not an intermediate value.
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12. Piliin ang tamang sagot.
By how many percentage points did the share increase?
The share of survey participants who cycle to work rose from 20% to 30%.
- 50 percentage points.
- 10 percentage points.
- 30 percentage points.
Percentage points measure the direct difference between two percentages.
Show solution
- 10 percentage points.
The rise is 10 percentage points, but a 50% relative increase: 10 is half of the original 20.