GCSE Mathematics Paper 2 - Foundation Tier Nov 2023
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Questions and Answers

Write down two factors of 18

2, 9

Write 0.9 as a fraction.

9/10

Change 7 metres to centimetres.

700

Write down a square number that is between 10 and 50.

<p>36</p> Signup and view all the answers

Work out 50% of 240

<p>120</p> Signup and view all the answers

Lydia works for 4 hours. She is paid £50. How much is Lydia paid per hour?

<p>12.50</p> Signup and view all the answers

Here is a 3-D shape. Write down the name of this 3-D shape.

<p>Cone</p> Signup and view all the answers

In the space below, draw a sketch of a ______ prism.

<p>triangular</p> Signup and view all the answers

Curtis needs to buy some items for his sports club. Here are the prices. Footballs: £9.50 each. Hockey sticks: £30 for 2. Cricket bats: £23 each. Tennis balls: £5 for 4. Curtis needs to buy: 5 footballs, 6 hockey sticks, 2 cricket bats, 4 tennis balls. Curtis has £200 to spend. Show that Curtis can buy all the items he needs.

<p>Cost of footballs: 5 * £9.50 = £47.50. Cost of hockey sticks: 6 / 2 * £30 = £90. Cost of cricket bats: 2 * £23 = £46. Cost of tennis balls: 4 / 4 * £5 = £5. Total cost: £47.50 + £90 + £46 + £5 = £188.50. Curtis has enough money to buy all the items because £200 &gt; £188.50.</p> Signup and view all the answers

Harris is buying a shirt and a tie. He has a choice of three colours of shirt and a choice of three styles of tie. Shirt: White (W) Blue (B) Grey (G) Tie Plain (P) Striped (S) Checked (C) Harris is going to choose one shirt and one tie. List all the possible combinations Harris can choose.

<p>WP, WS, WC, BP, BS, BC, GP, GS, GC</p> Signup and view all the answers

There are 24 red counters and 40 blue counters in a bag. Write down the ratio of the number of red counters to the number of blue counters in the bag. Give your ratio in its simplest form.

<p>3:5</p> Signup and view all the answers

Rima is going to roll a fair 6-sided dice. Choose the word that best describes the probability that the dice will land on the number 3

<p>unlikely (B)</p> Signup and view all the answers

Rima is going to roll a fair 6-sided dice. Choose the word that best describes the probability that the dice will land on an odd number.

<p>likely (D)</p> Signup and view all the answers

A car travels at an average speed of 37 miles per hour for 3 hours. Work out the distance that the car travels in the 3 hours.

<p>111</p> Signup and view all the answers

Milo is trying to find the area of this rectangle. He writes, "The area is 400 cm² because 5 × 4 × 5 × 4 = 400." Explain what is wrong with Milo's method.

<p>Milo has multiplied the length and width twice, effectively calculating the volume of a cuboid, not the area of a rectangle.</p> Signup and view all the answers

Anya works out the area of a shape. Her answer is 86 cm. Explain why her answer cannot be fully correct.

<p>Area is measured in square units, not just units. Therefore, Anya's answer cannot be fully correct because it's expressed in cm, which is a linear unit, not a square unit.</p> Signup and view all the answers

3kg of flour costs £4.05. 5 kg of flour and 6kg of sugar cost £11.85. Work out the cost of 2kg of flour and 5kg of sugar.

<p>7.85</p> Signup and view all the answers

Martha and Nabeel share £120. Martha gets 72% of the money. She spends 30% of the money she gets. How much money does Martha have left?

<p>60.48</p> Signup and view all the answers

160 people were asked to choose their favourite type of book. They each chose from romance or adventure or horror or thriller. 85 of these people were children. The rest were adults. 19 of the 33 people who chose romance were children. 34 of the 76 people who chose adventure were adults. 7 adults chose thriller. The number of children who chose thriller was the same as the number of adults who chose horror. Work out the total number of people who chose horror. You must show how you get your answer.

<p>14</p> Signup and view all the answers

Here are the heights, in cm, of 16 sunflowers. 168 173 172 180 162 19 183 160 17 184 197 177 172 186 188 180. Show this information in a stem and leaf diagram.

<p>16 | 0 2 8 17 | 2 2 3 7 8 18 | 0 0 3 4 6 8 8 19 | 1 7</p> Signup and view all the answers

Work out (9.8 + 6.8)/(4.2 * 2.1). Give your answer as a decimal. Write down all the figures on your calculator display.

<p>3.928571429</p> Signup and view all the answers

Write your answer to part (a) correct to 2 decimal places.

<p>3.93</p> Signup and view all the answers

The diagram shows a quadrilateral ABDE and an equilateral triangle BCD. CB is parallel to DE. Angle AED = 132°. Work out the size of the angle marked x. You must give a reason for each stage of your working.

<p>x = 48°. Angle BAD = 180° - 132° = 48° (angles on a straight line). Angle ABC = 60° (angles in an equilateral triangle). Angle ABD = 180° - 60° = 120° (angles on a straight line). x = 180° - 120° = 60° (angles in a triangle).</p> Signup and view all the answers

Complete the table of values for y = x² – x – 2

<p>-1, 0, -2, 2</p> Signup and view all the answers

Flashcards

Factors of 18

Numbers that multiply to give 18, e.g., 2 and 9.

Fraction equivalent of 0.9

0.9 can be expressed as 9/10.

Conversion to centimetres

7 meters equals 700 centimeters.

Square number

A number that is the square of an integer, e.g., 36 (6x6).

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Calculate 50% of 240

50% of 240 is 120.

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Lydia's hourly pay

Lydia earns £12.50 per hour, total £50 for 4 hours.

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Identifying 3-D shapes

A triangular prism has triangular bases and rectangular sides.

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Total spent on sports items

Total cost for Curtis’s items is £130, under £200 budget.

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Probability terminology

Probability descriptions: certain, likely, even, unlikely, or impossible.

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Distance calculation

Distance = Speed × Time; car travels 111 miles at 37 mph for 3 hours.

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Milo's area error

Milo incorrectly multiplied length and width multiple times instead of adding area once.

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Anya's area inconsistency

Area cannot be 86 cm²; it does not match measured dimensions.

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Cost of flour

To find cost, know price per kg; find the unit price from 3 kg cost.

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Share calculations

Martha's remaining money after spending is key to share problems.

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Ratio of counters

Ratio is 24 red to 40 blue, simplifies to 3:5.

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Stem and leaf diagram

A graphical method for organizing data based on place value.

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Expand and simplify

3(2y - 5) + 7(y + 2) becomes 6y + 1 after simplification.

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Quadrilateral and triangle angles

Using parallel lines to suggest angles based on correspondents.

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Graphing equations

Drawing y = x² - x - 2 involves plotting points based on x values.

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Combinations in choices

Determine combinations by multiplying options: 3 shirts × 3 ties = 9 choices.

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Bearing calculations

Bearing of port A from B is 327 degrees (180 - 147).

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Investments and interest

Investment grows with compound interest: Formula A = P(1 + r)^t.

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Solving simultaneous equations

Find x and y values that satisfy both equations. Use substitution or elimination.

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Height of sunflower example

Measure dataset options for graphical representation.

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Finding minutes to fill tank

Tank volume = πr²h; flow rate gives time to fill.

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Money sharing in ratios

Formulate by knowing total amounts for split ratios: solve with total sum known.

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Study Notes

GCSE Mathematics Paper 2 (Foundation Tier) - November 2023

  • Exam Details:

    • Pearson Edexcel Level 1/Level 2 GCSE (9-1)
    • Friday 10 November 2023
    • Morning (Time: 1 hour 30 minutes)
    • Paper Reference: 1MA1/2F
    • Materials Required: Ruler, protractor, pair of compasses, pen, HB pencil, eraser, calculator, Formulae Sheet. Tracing paper may be used.
  • Instructions:

    • Use black ink or ball-point pen.
    • Fill in your name, centre number, and candidate number.
    • Answer all questions.
    • Answer in the space provided.
    • Show your working.
    • Diagrams are not always accurately drawn.
    • Calculators may be used.
    • If your calculator does not have a π button, use 3.142 for π unless otherwise stated.
  • Information:

    • Total marks: 80
    • Marks for each question are indicated. Use this as a guide to time allocation.
    • Read questions carefully before starting. Aim to answer all questions.
    • Check your answers if time permits.

Paper 2 Questions (Page 2)

  • Question 1: Factors of 18.
  • Question 2: Express 0.9 as a fraction.
  • Question 3: Convert 7 metres to centimetres.
  • Question 4: Find a square number between 10 and 50.
  • Question 5: Calculate 50% of 240.

Paper 2 Questions (Page 3)

  • Question 6: Calculate Lydia's hourly pay if she works 4 hours for £50.
  • Question 7a: Name the 3D shape shown.
  • Question 7b: Draw a sketch of a triangular prism.

Paper 2 Questions (Page 4)

  • Question 8: Curtis requires 5 footballs, 6 hockey sticks, 2 cricket bats, and 4 tennis balls. Show that he can afford these with a budget of £200, given the item prices provided in the examination.

Paper 2 Questions (Page 5)

  • Question 9: List all possible shirt and tie combinations.
  • Question 10: Find the ratio of 24 red counters to 40 blue counters in its simplest form.

Paper 2 Questions (Page 6)

  • Question 11a: Describe the probability that the dice will land on 3 (impossible, unlikely, even, likely, certain).
  • Question 11b: Describe the probability that the dice will land on an odd number (impossible, unlikely, even, likely, certain).
  • Question 12: Calculate the distance travelled by a car at an average speed of 37 miles per hour for 3 hours.

Paper 2 Questions (Page 7)

  • Question 13a: Explain why Milo's method for calculating the area of a rectangle is incorrect.
  • Question 13b: Explain why Anya's area answer of 86 cm² cannot be correct.

Paper 2 Questions (Page 8)

  • Question 14: Calculate the cost of 2kg of flour and 5kg of sugar if 3 kg of flour costs £4.05 and 5 kg of flour and 6 kg of sugar cost £11.85.

Paper 2 Questions (Page 9)

  • Question 15: Martha gets 72% of £120. She spends 30% of this amount. How much money does she have left?

Paper 2 Questions (Page 10)

  • Question 16: Calculate the total number of people who chose horror as their favorite book type, given information about the number of people who chose romance, adventure, and horror/thriller, along with the number of children and adults.

Paper 2 Questions (Page 11)

  • Question 17: Create a stem-and-leaf diagram using the provided sunflower heights.

Paper 2 Questions (Page 12)

  • Question 18a: Calculate 9.8 + 6.8 / 4.2 x 2.1. Show all figures from the calculator display.
  • Question 18b: Round the answer from 18a to 2 decimal places.

Paper 2 Questions (Page 13)

  • Question 19: Calculate the value of angle x given that angle AED = 132° and CB is parallel to DE.

Paper 2 Questions (Page 14)

  • Question 20a: Complete a table of values for the equation y = x² − x − 2.
  • Question 20b: Draw the graph of y = x² − x − 2 for values of x from -2 to 3.

Paper 2 Questions (Page 15)

  • Question 21: Describe the single transformation that maps triangle A to triangle B.

Paper 2 Questions (Page 16)

  • Question 22a: Expand and simplify 3(2y – 5) + 7(y + 2).
  • Question 22b: Factorise 6x² + 15x fully.
  • Question 22c: Make g the subject of the formula f = 3g + 11.

Paper 2 Questions (Page 17)

  • Question 23: Karen organizes a party for charity and incurs costs for food, hall, and DJ. Calculate the percentage profit if she sells 54 tickets at £7.50 each.

Paper 2 Questions (Page 18)

  • Question 24: Andrew invests £4500 at a 3.4% compound interest rate for 2 years. Calculate the total amount in the account after 2 years.
  • Question 25: Solve the equation 5x − 14 = 52 − x.

Paper 2 Questions (Page 19)

  • Question 26: Chris, Debbie, and Errol share money and their share ratios have altered after an exchange. Calculate how much money Chris gave to Errol.
  • Question 27: Calculate the bearing of port A from port B, given the bearing of port B from port A.

Paper 2 Questions (Page 20)

  • Question 28: Calculate the time taken to fill a cylindrical tank (radius 15 cm, height 43 cm) if water flows in at a rate of 0.47 liters per minute.

Paper 2 Questions (Page 21)

  • Question 29: Calculate the length of AB in a right-angled triangle ABC, given side BC and angle ACB.

Paper 2 Questions (Page 22)

  • Question 30: Solve the simultaneous equations 3x + y = -4.5 and 4x + 3y = -3.5.

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Prepare for the GCSE Mathematics Paper 2 (Foundation Tier) scheduled for November 10, 2023. This exam covers a range of mathematical concepts and skills, requiring you to answer all questions carefully and show your working. Make sure to bring necessary materials and practice effective time management to maximize your score.

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