Exam Instructions & Data Analysis

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Questions and Answers

According to the scatter graph regarding memory sticks, which is the closest cost of a memory stick with 40 GB?

  • $25
  • $20 (correct)
  • $35
  • $30

Simplify the expression: $(5^2 * 5^4) / 5^3$

  • $5^2$
  • $5^6$
  • $5^8$
  • $5^3$ (correct)

Based on the bar chart displaying the number of matches Safia played from 2010 to 2014, determine the difference between the number of matches she won and lost in 2012.

  • 10
  • 20
  • 5 (correct)
  • 15

Which of the following statements is true regarding the comparison of 0.303 and 0.33?

<p>0.303 &lt; 0.33 (A)</p> Signup and view all the answers

A cube has sides of 5cm. A cuboid has sides of 4cm, 6cm and 7cm. Which has the larger volume and by how much?

<p>The cuboid, by 1cm³ (C)</p> Signup and view all the answers

Lily initially has seven cards, some with circles and some with squares. Given that the probability of picking a square at random after receiving another card is 1/2, and knowing she was given another card, what shape must the additional card be?

<p>Square (C)</p> Signup and view all the answers

Factorise the expression: $9a - 15b + 6c$

<p>$3(3a - 5b + 2c)$ (A)</p> Signup and view all the answers

According to the travel graph, how much further did Yuri travel compared to Chen by 07:40?

<p>5 km (D)</p> Signup and view all the answers

Rajiv intends to purchase 90 light bulbs and can source them from either Germany or the United States. In Germany, each pack of 6 bulbs costs 33 euros, while in the US, a pack of 3 bulbs is priced at 18 dollars. Given an exchange rate of 1 euro = 1.1 dollars, how much money would Rajiv save by buying all his lightbulbs in the US compared to Germany?

<p>$3 (A)</p> Signup and view all the answers

Solve: 25% of 60 = 3/5 of

<p>25 (C)</p> Signup and view all the answers

Identify the equation of a line that is parallel to line D.

<p>x = 2 (D)</p> Signup and view all the answers

Angelique has building blocks in red, green, yellow and blue. There are four times as many blue blocks as there are green and she picks 2 blocks at random. What is the probability, expressed as a decimal, that the first block is blue and the second block is green?

<p>0.01 (D)</p> Signup and view all the answers

A rectangle has a perimeter of 40cm. The length $x$ is three times the width. What is the length of the rectangle?

<p>15cm (B)</p> Signup and view all the answers

Aiko has number cards with -8, -4, -2, 3, and 5. If she picks two cards and multiplies them together, what is the highest possible answer?

<p>32 (C)</p> Signup and view all the answers

How many millimetres are in 2.56 litres?

<p>2560000 (C)</p> Signup and view all the answers

Determine the inverse of the function: $y = \frac{3x}{2} - 5$

<p>$y = \frac{2(x + 5)}{3}$ (A)</p> Signup and view all the answers

In a survey, Group A consisting of 72 students and Group B consisting of 108 students were asked about how they travel to school. If 70 degrees of students travel by bus in both groups, are the propotions the same?

<p>No, because the same angle represents different numbers of students due to differing group sizes (C)</p> Signup and view all the answers

Point A is at (-4,3). Point B is at (1,-3). Point C is at (4,0). Given these, determine which coordinates represent point D such that D shares the same y-coordinate as A, and CD is parallel to BA.

<p>(9,3) (D)</p> Signup and view all the answers

Quadrilateral Q is a transformation of quadrilateral P. If Q is a rotation of P by 90 degrees clockwise, about which point was it rotated?

<p>(1,1) (C)</p> Signup and view all the answers

Given a position-to-term rule for a sequence defined as position $\times$ 6 + 2, and a term-to-term rule to be completed, identify numbers for 'Add' to fully define the properties of the sequence generated.

<p>6 (B)</p> Signup and view all the answers

A garage sells vehicles, where 40% are vans and 25% of those vans are red. If there are 12 red vans, how many total vehicles does the garage have for sale?

<p>120 (D)</p> Signup and view all the answers

Hassan's garden is rectangular 20 m long and 16m wide. He spreads 30 tonnes of soil evenly over the garden. If 1 $m^3$ of soil has a mass of 1.2 tonnes, what is the depth of the soil in centimetres?

<p>7.8125 cm (B)</p> Signup and view all the answers

A solid cuboid is made from 60 cubes. The front elevation of the cuboid is shown. What could be the measurements for the length and width for the plan view?

<p>5cm x 4cm (C)</p> Signup and view all the answers

The square of which number is equal to 64?

<p>8 (A)</p> Signup and view all the answers

Solve for x and y on the following system of equations: $x + 2y = 18$ and $3x - y = 5$

<p>$x=4, y=7$ (D)</p> Signup and view all the answers

Flashcards

What is a scatter graph?

A visual representation of data points on a graph to show the relationship between two variables.

What does simplify mean?

To reduce an expression to a simpler form.

What is a power?

A way of writing numbers as a base raised to a power (exponent).

What is a bar chart?

A diagram with rectangular bars proportional to the values that they represent.

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What is proportion?

A comparison between two amounts showing relative value.

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What is a polygon?

A closed 2D shape with straight sides.

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What is a Pie chart?

A diagram representing data using slices in a circle.

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What is parallel?

Lines that are parallel have the same gradient.

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What is a reflection?

A transformation in which a shape is flipped over a line.

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What is a rotation?

A transformation in which a shape is turned around a point

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Study Notes

  • Candidates must answer on the question paper.
  • Additional materials needed are a calculator, geometrical instruments, and tracing paper (optional).
  • Write your centre number, candidate number, and name on all work at hand.
  • Use dark blue or black pen.
  • HB pencil can be used for diagrams, graphs, or rough working.
  • Do not use staples, paper clips, glue, or correction fluid.
  • Answer all questions.
  • Calculators are allowed.
  • Show all working in the booklet.
  • The number of marks is given in brackets at the end of each question or part question, with a total of 50 marks for the paper.

Memory Stick Costs

  • Jamila surveys the cost in dollars ($) and memory size in gigabytes (GB) of memory sticks.
  • A scatter graph shows the results of her survey.

Power Calculations

  • Simplify power calculations by providing each answer as a power of 6.
  • Example: 6^8 ÷ 6^2 = 6^(8-2) = 6^6

Safia's Tennis Matches

  • A bar chart illustrates the number of tennis matches Safia played each year from 2010 to 2014.

Inequality Signs

  • Use <, =, or > in each box to make a correct statement comparing decimal values.

Cube and Cuboid Volume

  • A diagram shows a cube and a cuboid and to show which has the larger volume.
  • Cube side length is 6cm.
  • Cuboid dimensions are 6cm, 7cm, and 5cm.

Probability with Cards

  • Lily has seven cards with different shapes.
  • Determine probabilities based on picking cards at random.

Factorisation

  • Factorise the expression 6x + 12y - 3z.

Travel Graphs

  • Chen and Yuri travel to work along the same route.
  • A travel graph shows their journey.

Light Bulb Costs

  • Rajiv wants to buy 90 light bulbs from either Germany or the United States.
  • In Germany, a pack of 6 light bulbs costs 33 euros.
  • In the United States, a pack of 3 light bulbs costs 18 dollars.
  • The exchange rate is 1 euro = 1.1 dollars.

Missing Numbers

  • Complete the missing numbers in the boxes to make the statements correct.

Equations of Lines on a Grid

Building Blocks Probability

  • Angelique has building blocks that are red, green, yellow, or blue.
  • There are 4 times as many blue blocks as green blocks.
  • Angelique picks a block at random.
  • You need to complete a table to show the probability of picking each color.

Rectangle Dimensions

  • You need to show equations relating to the perimeter of a rectangle of length x cm and width y cm to 65 cm.
  • Write an equation where the length (x) is 4 times the width (y). Solve for 'x' using the two equations.

Maximising Product

  • Aiko has number cards with -8, -4, -2, 3, and 5 on them.
  • You have to Find the maximum possible answer she can get by multiplying two of the numbers together

Metric Conversions to different units

  • Coverting 1250 metres = 1.25 kilometres

Inverse functions

  • Write down the inverse of this function y = 2x

Pie Charts and Proportions

  • Analyze two pie charts illustrating how students in different groups travel to school and determine the truth of whether "The same proportion of students travel by bus in both groups"

Coordinate Geometry

  • Points A, B, and C are plotted on a coordinate grid.
  • D is another point with the same y-coordinate as A where CD is parallel to BA.
  • write the coordinates of D.

Transformations on a Grid

  • Quadrilaterals P, Q, R, and S are displayed on a grid.
  • Complete the descriptions of each transformation between the quadrilaterals.

Numerical Sequences

  • Given the position-to-term rule for a sequence find the second term of the sequence

Geometry Construction

  • Construct an inscribed regular hexagon (ABCDEF) inside this circle. Vertex A is marked. Leave in your construction lines.

Percentage problems

  • Solve a percentage problem related to vans in a garage.

Garden Dimensions

  • The diagram shows Hassan's garden
  • Calculate the depth of soil in centimetres

Cuboid Views

Number properties

  • Square root and multiples

Simultaneous Equations

  • Use the graph to find the solution to simultaneous equations.

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