Page 2: Questions on Ratios and Similar Triangles

This page contains two questions focusing on ratios and similar triangles:

Question 1 asks students to calculate a fraction from a given ratio. The ratio 6:9:10 is used to share an amount of money between three people.

Question 2 deals with similar triangles. Students must: a) Calculate the length of side EF in a similar triangle. b) Determine the length of side AB using the given information.

Example: In Question 2, students use the concept of similar triangles to find missing side lengths. For instance, if triangle ABC has a side of 4 cm and triangle DEF has a corresponding side of 20 cm, the scale factor between the triangles is 5.

Vocabulary: Similar triangles are triangles that have the same shape but may be different sizes, with corresponding angles equal and sides proportional.

Page 3: Enlargement, Angles, and Proportional Reasoning

This page includes three questions on various topics:

Question 3 tests understanding of enlargement on a coordinate grid. Students must: a) Identify the scale factor of enlargement between two triangles. b) Explain why the angles in an enlarged triangle remain the same, despite the scale factor.

Question 4 involves proportional reasoning with weights and costs. Students calculate the cost of 3.5 kg of apples given the price of 2.5 kg.

Definition: Enlargement is a transformation that changes the size of a shape without altering its angles.

Highlight: It's crucial to remember that in enlargements, only the side lengths change, not the angles.

Page 4: Proportionality and Unit Conversions

This page focuses on proportionality and unit conversions:

Question 5 asks students to identify which graph represents direct proportion among four different types of proportionality.

Question 6 involves using a graph to convert between ounces and grams. Students must: a) Convert 850 grams to ounces. b) Convert 80 ounces to grams.

Vocabulary: Direct proportion is a relationship between two quantities where one is a constant multiple of the other, represented by a straight line through the origin on a graph.

Example: In the conversion graph, students can see that 10 ounces is equivalent to approximately 300 grams.

Page 5: Problem-Solving with Ratios and Proportions

This page contains two multi-step problem-solving questions:

Question 7 requires students to calculate if Ms. Ahmed has enough money to buy 20 pens and 20 folders, given the prices for smaller quantities.

Question 8 involves a complex ratio problem where three people share sweets in the ratio 4:5:7, with additional information about the difference in quantities.

Highlight: These questions test students' ability to apply mathematical concepts to real-world scenarios, an important skill in the GCSE Mathematics Foundation Tier.

Page 6: Complex Ratio Problem

The final page contains one complex ratio problem:

Question 9 asks students to calculate how much money Sayma gets when £360 is shared between four people using a combination of ratios and multipliers.

Example: In this question, students must first determine the total number of parts in the ratio, then calculate the value of one part before finding Sayma's share.

Highlight: This question combines multiple concepts, including ratios, fractions, and algebraic thinking, making it an excellent test of overall mathematical understanding for Year 9 Maths.

Page 1: Introduction and Instructions

The first page introduces the Year 9 foundation assessment calculator paper, providing essential information for students:

• The assessment is for Year 9 students at the foundation level.
• Students are allowed to use a calculator.
• The total mark for the paper is 25.
• Students should answer all questions in the spaces provided.
• Marks for each question are shown to guide time management.

Highlight: This is a calculator paper, allowing students to use calculators to assist with calculations.