4MA1/2FR Jan 2021, Question 2: Ratios in Simplest Form

Part (a) · 1 mark

Identify which of Monday, Tuesday, Wednesday or Thursday has the fewest emails from the pictogram.

1. 1Compare the number of symbols for each day on the pictogram.
2. 2Wednesday has the fewest symbols, so it represents the least number of emails.

AnswerWednesday

Part (b) · 2 marks

Give the ratio of Monday's emails to Tuesday's emails in simplest form.

1. 1Monday has 4 symbols, each representing 4 emails: 4 × 4 = 16 emails.
2. 2Tuesday has 2.5 symbols, each representing 4 emails: 2.5 × 4 = 10 emails.
3. 3Write the ratio 16 : 10.
4. 4Simplify by dividing both parts by 2: 8 : 5.

Answer8 : 5

Part (c) · 1 mark

Add a representation of Friday's 14 emails to the pictogram using the key.

1. 1Each envelope symbol represents 4 emails.
2. 2Friday: 14 ÷ 4 = 3.5 symbols.
3. 3Draw 3 whole envelope symbols and one half symbol for Friday.

Answer3 whole envelope symbols and a half symbol drawn for Friday (3.5 symbols)

Part (d) · 2 marks

Write 6 out of 14 as a fraction in its simplest form.

1. 1Write 6 as a fraction of 14: 6/14.
2. 2Simplify by dividing numerator and denominator by 2: 3/7.

Answer3/7

Part (e) · 2 marks

Draw a bar chart for Friday, Saturday and Sunday emails (14, 11, 6), completing the frequency axis.

1. 1Choose a scale for the frequency axis: e.g. 1 email = 0.5 cm.
2. 2Friday: 14 emails → 14 × 0.5 = 7 cm.
3. 3Saturday: 11 emails → 11 × 0.5 = 5.5 cm.
4. 4Sunday: 6 emails → 6 × 0.5 = 3 cm.
5. 5Draw the three bars to those heights and label the frequency axis.

AnswerBars of 14 for Friday, 11 for Saturday and 6 for Sunday, on a labelled frequency axis

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