A table puts quantities in an organised form so that we can read them, compare them and choose a calculation. It does not tell us to add every number we see. Before using the values, identify what each row and column represents, the unit, and whether an entry records a new amount or a running total.
This habit is useful throughout primary Mathematics. A younger learner may read counts in a simple table; an older learner may compare changes or combine quantities from several columns. The central question stays the same: what does this particular number mean?
Give the table a clear job
Consider a hypothetical three-day reading activity. Pupils record the number of pages read each day. A useful table has a title, labels and one consistent unit. Without those details, the number 18 might mean eighteen pages that day, eighteen pages altogether, or eighteen minutes of reading.
Each row should describe one record. Each column should have one meaning. If an amount changes unit, write the unit explicitly rather than placing unlike quantities under the same unqualified heading. Clear organisation prevents a calculation from combining things that should be kept separate.
When reading a question, decide whether it asks for a single entry, a difference between entries, or a total of separate amounts. Point to the relevant cells before choosing an operation. This short pause often prevents unnecessary work.
Worked example: daily amounts and running totals
The following figures are invented for practice. They describe one pupil’s reading, with each day’s pages counted once.
| Day | Pages read that day | Pages read altogether by the end of that day |
|---|---|---|
| Monday | 12 | 12 |
| Tuesday | 18 | 30 |
| Wednesday | 11 | 41 |
Question A: How many pages did the pupil read over the three days?
The daily amounts are separate, so we may add them:
12 + 18 + 11 = 41.
The answer is 41 pages. The last entry in the running-total column provides another way to read the same answer. By Wednesday, all three daily amounts have been included.
Question B: How many more pages were read on Tuesday than on Wednesday?
We compare the daily entries, 18 and 11:
18 − 11 = 7.
The pupil read 7 more pages on Tuesday. The running totals 30 and 41 answer a different question. Their difference, 11 pages, is the amount added on Wednesday; it is not the comparison between Tuesday’s and Wednesday’s daily reading.
Question C: How many pages were read on Tuesday if only the running totals were supplied?
The total rose from 12 to 30 pages, so Tuesday contributed:
30 − 12 = 18 pages.
Notice how the meaning of the subtraction depends on which column we use. Naming the quantity matters as much as choosing the operation.
Why adding the running totals is wrong
A pupil may add 12 + 30 + 41 = 83 and call this the total pages read. The arithmetic is accurate, but the calculation counts some pages repeatedly. Monday’s 12 pages appear in Monday’s total, again in Tuesday’s total, and again in Wednesday’s total.
To correct the reasoning, ask the child to imagine the pages as three piles: Monday’s pile, Tuesday’s pile and Wednesday’s pile. Daily entries describe the separate piles. Running totals describe the piles gathered together up to that point. Adding overlapping collections does not count each page once.
A similar issue appears in tables of money saved, water collected or counters accumulated. First establish whether each row describes a separate addition or the total already held. Do not rely on the largest number or the last row without checking what the heading says.
Compare the right feature
A table may contain more than one quantity for each group. Suppose a hypothetical activity lists four trays with twelve counters per tray and six trays with eight counters per tray. The groups differ in the number of trays and counters per tray, yet both have 48 counters altogether:
4 × 12 = 48, and 6 × 8 = 48.
If the question asks which arrangement has more trays, compare 4 and 6. If it asks which has more counters altogether, calculate the totals. “More” is incomplete until we name what is being compared.
Do not mix a number of trays with a number of counters. Even when both are whole numbers, they describe different quantities. Write the units beside intermediate results to keep the comparison clear.
Independent practice, with explained answers
An invented collection record shows the number of paper squares added on three days and the running total.
| Day | Squares added that day | Running total |
|---|---|---|
| Thursday | 15 | 15 |
| Friday | 11 | 26 |
| Saturday | 14 | 40 |
Question 1: How many squares were added over all three days?
Add the separate daily amounts: 15 + 11 + 14 = 40 squares. The Saturday running total confirms the result.
Question 2: How many more squares were added on Thursday than on Friday?
Use the daily column: 15 − 11 = 4 squares. Subtracting 26 − 15 would give Friday’s addition of eleven squares, which answers a different question.
Question 3: If Sunday’s running total is 52, how many squares were added on Sunday?
Subtract the previous running total from the new total: 52 − 40 = 12 squares. Check that 40 + 12 = 52.
A useful prompt at home
Ask: “Read the heading aloud, then explain this cell in a full sentence.” “This pupil has read thirty pages altogether by Tuesday evening” is more informative than “the number is thirty”. Once the quantity is clear, let the child identify the cells needed for the question.
Tables also organise observations in Science. Read Tables and Graphs with Confidence develops that connection. Reading values accurately lets us describe a change; explaining why a scientific change occurred requires further evidence and relevant conditions.
Continue learning
Return to the Mathematics in Punggol study guide.
Related practice: Graphs: Read the Scale Before Drawing Conclusions · Averages: Find the Mean and Understand Its Limits.
