Ratio and Proportion Problems Year 6 Ratio Resource Pack

What's included in the pack?

This pack includes:

• Ratio and Proportion Problems Year 6 Teaching PowerPoint.
• Ratio and Proportion Problems Year 6 Varied Fluency with answers.
• Ratio and Proportion Problems Year 6 Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 6: (6R1) Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

Mathematics Year 6: (6R2) Solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison

Mathematics Year 6: (6R3) Solve problems involving similar shapes where the scale factor is known or can be found

Mathematics Year 6: (6R4) Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

Differentiation For Year 6 Ratio and Proportion Problems:

Varied Fluency
Developing Questions to support solving ratio and proportion problems. Using 2 objects, where scale factors are double, half or ten times.
Expected Questions to support solving ratio and proportion problems. Using 2 or 3 objects, where scale factors are direct multiples or factors of the original values.
Greater Depth Questions to support solving ratio and proportion problems. Using 3 objects, where scale factors are not always direct multiples or factors, and where some ratios are simplified.

Reasoning and Problem Solving
Questions 1, 4 and 7 (Problem Solving)
Developing Calculate the amount of items used from a given cost. Using 2 objects and prices which are whole numbers.
Expected Calculate the amount of items used from a given cost. Using 2 objects, ratios of direct multiples and prices of a mixture of pounds and pence.
Greater Depth Calculate the amount of items used from a given cost. Using 3 objects where ratios are not always direct multiples.

Questions 2, 5 and 8 (Reasoning)
Developing Explain who is correct. Using 2 objects where scale factors are double, half or ten times.
Expected Explain who is correct. Using 2 or 3 objects where scale factors are direct multiples or factors of the original values.
Greater Depth Explain who is correct. Using 3 objects where scale factors are not always direct multiples or factors, or where ratios may be simplified.

Questions 3, 6 and 9 (Problem Solving)
Developing Calculate the perimeter of 2 shapes. Scale factors are double, half or ten times.
Expected Calculate the perimeter of 2 shapes. Scale factors are direct multiples.
Greater Depth Calculate the perimeter of 2 shapes. Scale factors are not always direct multiples. Some measurements are decimals.

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