This Year 9 foundation assessment calculator paper covers various mathematical concepts, including ratios, similar triangles, enlargement, proportionality, unit conversions, and problem-solving. The paper consists of 9 questions worth a total of 25 marks, designed to test students' understanding of key mathematical principles and their ability to apply them in different contexts.
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.
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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.
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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.
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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.
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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.
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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.
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