Feb/March 2019

Calculate the time when the lesson finishes.

Time

List the six factors of 12.

Types of number

The vectors given are $\mathbf{e} = \begin{pmatrix}-5\\4\end{pmatrix}$ and $\mathbf{f} = \begin{pmatrix}0\\6\end{pmatrix}$.

Coordinates

Simplify the expression $(y^5)^3$.

Indices II

Without using a calculator, work out an estimate for $\frac{\sqrt{104.3}}{8.72 - 7.389}$ by rounding each number to 1 significant figure. Show all your working.

Estimation

Calculate how many euros he gets.

Money

Convert 645 mm to cm.

Units of measure

Complete the statement about the value of $w$.

Equations

A triangle has been plotted on a grid, with centre $X$ shown inside it.

Transformations

Calculate the number of sweets expected to have the wrong shape.

Relative and expected frequencies

Factorise completely the expression $8g^2 - 4g$.

Algebraic manipulation

Calculate the probability that tomorrow will not be sunny.

Introduction to probability

Solve the simultaneous equations below. Show every step of your working. $6x - 3y = 12$, $2x + 3y = 16$.

Equations

A cuboid is drawn with side lengths of 12 cm, 5 cm and 7.5 cm. This sketch is not drawn to scale.

Surface area and volume

Calculate the percentage increase.

Percentages

The grid illustration shows a quadrilateral drawn on a $1\text{ cm}^2$ grid.

Area and perimeter

Calculate the range of the five numbers.

Averages and measures of spread

Without a calculator, calculate $3\frac{1}{8} \div \frac{5}{12}$. Show every step of your working and write your answer as a mixed number in simplest form.

Fractions, decimals and percentages

The diagram depicts triangles $ABC$ and $BCD$; each one is right-angled. The labelled lengths are $AC = 8.2\,$cm, $BC = 5.3\,$cm, $CD = y\,$cm, $BD = 4.4\,$cm, and the angle at A is marked $x^\circ$. The figure is not drawn to scale.

Right-angled triangles

The diagram displays four angles named A, B, C and D. Angle C is drawn as a reflex angle.

Angles

Find the temperature at 01 00 from the information given.

Graphs in practical situations

Calculate the amount of money Jodi collects for charity.

Money

Explain why the student is wrong.

Algebraic manipulation

The diagram illustrates a net for a solid.

Surface area and volume

Express 0.046875 to 2 significant figures.

Limits of accuracy

A shape appears on a grid, with a horizontal line AB drawn beneath it.

Transformations

Determine the temperature at 01 00.

Graphs in practical situations

Calculate the cuboid's total surface area.

Surface area and volume

Calculate the percentage increase.

Percentages

Calculate the cone's radius.

Surface area and volume

Factorise the expression $7k^2 - 15k$.

Algebraic manipulation

Calculate the amount Eric invests.

Money

Find the numerical value of $w$.

Equations

By drawing a suitable tangent, estimate the gradient of the curve at point $P$.

Differentiation

Find $n$ for which $5^n = \frac{1}{125}$.

Indices II

Calculate how many litres enter the tank in one hour.

Rates

Simplify the expression $\frac{ab - b^2}{a^2 - b^2}$.

Algebraic fractions

Calculate how much Jodi raises for charity in total.

Money

Calculate $\begin{pmatrix}2 & -1 \\ 4 & 3\end{pmatrix}\begin{pmatrix}1 & 6 \\ -5 & 4\end{pmatrix}$.

Algebraic manipulation

Find $3\frac{1}{8} \div \frac{5}{12}$. Show every step of your working and write your answer as a mixed number in its simplest form.

Fractions, decimals and percentages

The speed-time graph represents the journey during the initial 50 seconds.

Graphs in practical situations

Find the co-ordinates of the midpoint between $A$ and $B$.

Perpendicular lines

Calculate the value of $SR$.

Length and midpoint

Express the recurring decimal $0.2\dot{3}$ as a fraction.

Fractions, decimals and percentages

Write $0.046875$ rounded to $2$ significant figures.

Limits of accuracy

Calculate the number of euros he receives.

Money

Calculate the expected number of sweets that are wrong-shaped.

Relative and expected frequencies

Calculate the bearing from Alexandria to Paris.

Right-angled triangles

Find the position vector of $B$, in terms of $x$ and $y$, in the simplest form.

Vectors in two dimensions

Express $y$ in terms of $x$.

Algebraic manipulation

60 boys were asked to name their favourite sport. The outcomes are displayed in the pie chart. The pie chart shows these labelled sectors and angles: Judo: $30^{\circ}$ Hockey: sector shown with angle $48^{\circ}$ Running: sector shown with angle $72^{\circ}$ Swimming: sector shown with angle $120^{\circ}$ Tennis: sector shown with angle $90^{\circ}$.

Statistical charts and diagrams

Construct the equilateral triangle $ABC$.

Geometrical constructions

Write down the fraction of the rectangle that is shaded. Give your answer in its simplest form.

Fractions, decimals and percentages

Write the information as a ratio in its simplest form.

Ratio and proportion

The car park contains 880 parking spaces.

The four operations

Mrs Verma owns a restaurant. At every table in the restaurant there are 8 chairs. At times, she joins tables together. The diagrams illustrate how the tables are arranged and where each chair (X) is placed. The diagrams show: 1 table with 8 chairs marked X around it. 2 tables joined together with chairs marked around. 3 tables joined together with chairs marked around. A blank space labelled 4 tables. The arrangement of the tables and chairs makes a sequence.

Sequences

Mr Patel is making a train trip into the city, with the library as his destination. The travel graph traces his journey from Keela station to the library. The graph has: Vertical axis: Distance (km), marked up to 36. Horizontal axis: Time from 09 00 to 12 00. Stations marked on the distance axis: Keela station at 0 km, Lanay station at 12 km, City station at 28 km, Library at 32 km. A line traces the journey from Keela station at 09 00 to the library at 10 00.

Graphs in practical situations

The scaled sketch plots the locations of an airport (A) and a train station (T) on a map. 1 centimetre on the scale stands for 2 kilometres. The diagram includes a straight segment from T to A, with a north arrow at both T and A. The scale written on the diagram is: Scale: 1 cm to 2 km.

Scale drawings

Find the equation for line $L$. Write your answer in the form $y = mx + c$.

Sketching curves

The figure depicts a rectangle together with two semicircles whose diameters are $AC$ and $BD$. It is a scale drawing of a running track. $AC = BD = 60$ m $AB = CD = 120$ m.

Scale drawings

Amol and Priya split 645 parcels in the ratio Amol : Priya = 11 : 4.

Ratio and proportion

The diagram presents triangles A, B and C on a coordinate grid whose axes are marked x and y.

Transformations

Sushila, Ravi and Talika each own a bag of balls, and every bag has 10 red balls together with 8 blue balls.

Probability of combined events

The diagram presents an unfinished scale plan of a market place, ABCD, with D situated on CX. The scale is 1 centimetre represents 5 metres. D is placed on CX so that angle DAB = 75^{\circ}.

Scale drawings

The table gives some values of $y=\frac{3}{10}x^3-2x$ when $-3 \le x \le 3$.

Sketching curves