2024_AQA-GCSE Mathematics – Foundation Tier Paper 1: Non-Calculator (Merged Question Paper and Marking Scheme) Thursday 16 May 2024

2024_AQA-GCSE Mathematics – Foundation Tier Paper 1: Non-Calculator (Merged Question Paper and Marking Scheme) Thursday 16 May 2024 Candidate number I declare this is my own work. GCSE MATHEMATICS Foundation Tier Paper 1 Non-Calculator F Thursday 16 May 2024 Morning Time allowed: 1 hour 30 minutes Materials For this paper you must have: • mathematical instruments • the Formulae Sheet (enclosed). You must not use a calculator. Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of this page. • Answer all questions. • You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. • If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s). • Do all rough work in this book. Cross through any work you do not want to be marked. Information • The marks for questions are shown in brackets. • The maximum mark for this paper is 80. • You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer book. For Examiner’s Use Pages Mark 2–3 4–5 6–7 8–9 10–11 12–13 14–15 16–17 18–19 20–21 22–23 24–25 TOTAL Advice In all calculations, show clearly how you work out your answer. *JUN2483001F01* IB/M/Jun24/G4007/E9 8300/1F GCSE Mathematics Foundation Tier Paper 1: Non-Calculator Summary The GCSE Mathematics Foundation Tier Paper 1: Non-Calculator, scheduled for May 2025, will assess students’ understanding of core mathematical concepts that they must solve without the aid of a calculator. The paper will focus on fundamental mathematical principles, and students will be required to perform manual calculations and demonstrate problem-solving skills. Key areas covered include: 1. Number:  Integer Operations: Addition, subtraction, multiplication, and division of whole numbers, including using factors, multiples, and prime numbers.  Fractions, Decimals, and Percentages: Simplifying fractions, converting between fractions, decimals, and percentages, and performing operations with fractions and decimals (e.g., addition, subtraction, multiplication, and division).  Ratio and Proportion: Understanding and solving problems involving direct and inverse proportionality, scaling, and simple ratio problems.  Estimation: Estimating calculations and rounding numbers to a given degree of accuracy, including rounding decimals and whole numbers. 2. Algebra:  Simplifying Expressions: Simplifying algebraic expressions, including collecting like terms and expanding brackets.  Linear Equations: Solving linear equations, including equations with fractions, using methods such as balancing.  Inequalities: Solving and representing inequalities on number lines, and solving simple linear inequalities.  Patterns and Sequences: Working with number sequences, including arithmetic sequences, and finding nth terms and simple formulae. 3. Geometry:  Angles: Calculating angles in triangles, quadrilaterals, and other polygons. Understanding angle relationships (e.g., supplementary and complementary angles) and solving angle problems.  Perimeter, Area, and Volume: Calculating the perimeter and area of 2D shapes such as rectangles, triangles, and circles. Solving problems related to the volume and surface area of 3D shapes such as cubes, cuboids, and cylinders.  Symmetry and Transformations: Recognizing lines of symmetry in shapes and understanding transformations, such as reflections, rotations, and translations, and using grid systems to identify symmetrical patterns. 4. Measurement:  Units of Measure: Converting between different units of measurement, including length, mass, time, and volume, and using appropriate units for different contexts.  Time: Calculating time durations, understanding 24-hour clock times, and solving problems involving time differences and time intervals.  Speed, Distance, and Time: Using the formula Speed=DistanceTimetext{Speed} = frac{text{Distance}}{text{Time}}Speed=TimeDistance to solve problems related to speed, distance, and time, both in practical and word problems. 5. Statistics:  Data Representation: Drawing and interpreting bar charts, histograms, pictograms, and frequency tables.  Measures of Central Tendency: Calculating the mean, median, mode, and range for a set of data.  Data Comparison: Comparing sets of data and making interpretations based on the statistical measures and graphical representations. 2 Answer all questions in the spaces provided. 1 (a) Work out 280 ÷ 7 [1 mark] Answer 1 (b) Work out 1062 – 438 [2 marks] Answer Do not write outside the box *02* IB/M/Jun24/8300/1F 3 2 (a) Complete the statement. [1 mark] 2 metres = centimetres 2 (b) Complete the statement. [1 mark] 8 kilograms = grams 2 (c)Convert 24 kilometres to miles. Use 8 kilometres = 5 miles [2 marks] Answer miles Do not write outside the box 7 Turn over ► *03* IB/M/Jun24/8300/1F 4 3 (a)Here is a centimetre grid. What percentage of the grid is shaded? [1 mark] Answer % 3 (b)Kai has shaded two small squares on this centimetre grid. He wants 34 of the grid to be shaded. How many more small squares must he shade? [2 marks] Answer Do not write outside the box *04* IB/M/Jun24/8300/1F 5 4 (a)Here is a list of four numbers. 6.92 7.27 7.18 7.14 Use one number from the list to complete each statement. [2 marks] The number closest in value to 7 is The number that rounds to 7.2 to 1 decimal place is 4 (b)Here is a list of six numbers. –10 –5 –2 4 6 10 Use two numbers from the list to complete each statement. [2 marks] Two numbers that add to make –1 are and Two numbers that multiply to make