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P6 Data Analysis Questions (with Worked Solutions)
Reading and interpreting tables, graphs, and pie charts in P6 prelim papers. Every question is from a real Singapore P6 preliminary exam, marked instantly, with step-by-step solutions.
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Data Analysis questions
Example Data Analysis questions
A few real data analysis questions from P6 prelim papers. The full set — with marking and progress tracking — is inside SG Maths Exam.
Tao Nan 2025 · Paper 2 · Q15 · 3 marks
The average height of a group of 3 girls and 5 boys was 160 cm. The average height of the 3 girls was 12 cm less than the average height of the 5 boys. Find the average height of the 5 boys.
Worked solution
- Total height = $160 \times 8 = 1280$ cm. Let boys' average = $b$
- girls' average = $b - 12$. $5b + 3(b-12) = 1280$
- $8b - 36 = 1280$
- $8b = 1316$
- $b = 164.5$ cm.
Tao Nan 2025 · Paper 2 · Q14(b) · 2 marks
The number of books borrowed from Monday to Wednesday is 4 times as many as the number of books borrowed on Thursday and Friday. Find the number of books borrowed on Friday.
Worked solution
- Mon-Wed = $65 + 90 + 85 = 240$
- Thu + Fri = $240 \div 4 = 60$
- Fri = $60 - 40 = 20$.
St Nicholas 2025 · Paper 1 Booklet B · Q22 · 2 marks
The average number of vases sold in October and November was 18 more than the average number of vases sold from June to September. Find the total number of vases sold in October and November.
Worked solution
- Average for October and November $= 190 + 18 = 208$. Total $= 208 \times 2 = 416$ vases.
Nanyang 2025 · Paper 2 · Q16(d) · 2 marks
On Saturday, for every bag sold to a customer, a second bag was given free. What was the least possible amount of money collected from the sale of bags on Saturday?
Worked solution
- From the graph, the number of bags that left the store on Saturday gives the least possible number of bags actually sold (when as many free bags as possible were given). At $\$18$ per bag sold, the least possible amount collected $= \$198$.
Raffles Girls 2025 · Paper 2 · Q1(b) · 1 mark
A baker baked a total of 300 pies to sell. The bar graph shows the number of each type of pie that was sold.
What was the total number of pies left unsold?
Worked solution
- 300 - 72 - 52 - 36 - 24 - 60 = 56
St Nicholas 2025 · Paper 1 Booklet A · Q10 · 1 mark
Using the bead table, how many more green beads does Cassie need to pack into Box C so that the number of green beads in Box C is 17 more than the total number of beads in Box D?
Worked solution
- Total beads in Box D $= 32$. Green beads needed in Box C $= 32 + 17 = 49$. Box C already has 21 green beads, so $49 - 21 = 28$ more are needed.
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