Cambridge Lower Secondary Stage 7 Maths

Cambridge Lower Secondary Stage 7 Maths

Contents:

• Paid members get access to Topic Questions for Stage 7 Cambridge Lower Secondary Mathematics. for the latest syllabus

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• Questions have been taken from past exam papers. as well as additional questions have been added .
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• There aren't too many questions,  as such large  data isn't available currently. But we are trying our best to provide more data gradually.
• Notes and Interactive Mock Exams will be uploaded in due course

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Syllabus Details:

The syllabus for Cambridge Lower Secondary Mathematics Stage 7 is as follows:

Number

Integers, powers and roots

• 7Ni.01 Estimate, add and subtract integers, recognising generalisations.

• 7Ni.02 Understand that brackets, positive indices and operations follow a particular order.

• 7Ni.03 Estimate, multiply and divide integers including where one integer is negative.

• 7Ni.04 Understand lowest common multiple and highest common factor (numbers less than 100).

• 7Ni.05 Use knowledge of tests of divisibility to find factors of numbers greater than 100.

• 7Ni.06 Understand the relationship between squares and corresponding square roots, and cubes and corresponding cube roots.

Place value, ordering and rounding

• 7Np.01 Use knowledge of place value to multiply and divide whole numbers and decimals by any positive power of 10.

• 7Np.02 Round numbers to a given number of decimal places.

Fractions, decimals, percentages, ratio and proportion

• 7Nf.01 Recognise that fractions, terminating decimals and percentages have equivalent values.

• 7Nf.02 Estimate and add mixed numbers, and write the answer as a mixed number in its simplest form.

• 7Nf.03 Estimate, multiply and divide proper fractions.

• 7Nf.04 Use knowledge of common factors, laws of arithmetic and order of operations to simplify calculations containing decimals or fractions.

• 7Nf.05 Recognise percentages of shapes and whole numbers, including percentages less than 1 or greater than 100.

• 7Nf.06 Understand the relative size of quantities to compare and order decimals and fractions, using the symbols =, ≠, > and <.

• 7Nf.07 Estimate, add and subtract positive and negative numbers with the same or different number of decimal places.

• 7Nf.08 Estimate, multiply and divide decimals by whole numbers.

• 7Nf.09 Understand and use the unitary method to solve problems involving ratio and direct proportion in a range of contexts.

• 7Nf.10 Use knowledge of equivalence to simplify and compare ratios (same units).

• 7Nf.11 Understand how ratios are used to compare quantities to divide an amount into a given ratio with two parts.

Algebra

Expressions, equations and formulae

• 7Ae.01 Understand that letters can be used to represent unknown numbers, variables or constants.

• 7Ae.02 Understand that the laws of arithmetic and order of operations apply to algebraic terms and expressions (four operations).

• 7Ae.03 Understand how to manipulate algebraic expressions including:

o collecting like terms

o applying the distributive law with a constant.

• 7Ae.04 Understand that a situation can be represented either in words or as an algebraic expression, and move between the two representations (linear with integer coefficients).

• 7Ae.05 Understand that a situation can be represented either in words or as a formula (single operation), and move between the two representations.

• 7Ae.06 Understand that a situation can be represented either in words or as an equation. Move between the two representations and solve the equation (integer coefficients, unknown on one side).

• 7Ae.07 Understand that letters can represent an open interval (one term).

Sequences, functions and graphs

• 7As.01 Understand term-to-term rules, and generate sequences from numerical and spatial patterns (linear and integers).

• 7As.02 Understand and describe nth term rules algebraically (in the form n ± a, a × n where a is a whole number).

• 7As.03 Understand that a function is a relationship where each input has a single output. Generate outputs from a given function and identify inputs from a given output by considering inverse operations (linear and integers).

• 7As.04 Understand that a situation can be represented either in words or as a linear function in two variables (of the form y = x + c or y = mx), and move between the two representations.

• 7As.05 Use knowledge of coordinate pairs to construct tables of values and plot the graphs of linear functions, where y is given explicitly in terms of x (y = x + c or y = mx).

• 7As.06 Recognise straight-line graphs parallel to the x- or y-axis.

• 7As.07 Read and interpret graphs related to rates of change. Explain why they have a specific shape.

Geometry and Measure

Geometrical reasoning, shapes and measurements

• 7Gg.01 Identify, describe and sketch regular polygons, including reference to sides, angles and symmetrical properties.

• 7Gg.02 Understand that if two 2D shapes are congruent, corresponding sides and angles are equal.

• 7Gg.03 Know the parts of a circle:

o centre

o radius

o diameter

o circumference

o chord

o tangent.

• 7Gg.04 Understand the relationships and convert between metric units of area, including hectares (ha), square metres (m²), square centimetres (cm²) and square millimetres (mm²).

• 7Gg.05 Derive and know the formula for the area of a triangle. Use the formula to calculate the area of triangles and compound shapes made from rectangles and triangles.

• 7Gg.06 Identify and describe the combination of properties that determine a specific 3D shape.

7Gg.07 Derive and use a formula for the volume of a cube or cuboid. Use the formula to calculate the volume of compound shapes made from cuboids, in cubic metres (m3), cubic centimetres (cm3) and cubic millimetres (mm3).

• 7Gg.08 Visualise and represent front, side and top view of 3D shapes.

• 7Gg.09 Use knowledge of area, and properties of cubes and cuboids to calculate their surface area.

• 7Gg.10 Identify reflective symmetry and order of rotational symmetry of 2D shapes and patterns.

• 7Gg.11 Derive the property that the sum of the angles in a quadrilateral is 360°, and use this to calculate missing angles.

• 7Gg.12 Know that the sum of the angles around a point is 360º, and use this to calculate missing angles.

• 7Gg.13 Recognise the properties of angles on:

o parallel lines and transversals

o perpendicular lines

o intersecting lines.

• 7Gg.14 Draw parallel and perpendicular lines, and quadrilaterals.

Position and transformation

• 7Gp.01 Use knowledge of scaling to interpret maps and plans.

• 7Gp.02 Use knowledge of 2D shapes and coordinates to find the distance between two coordinates that have the same x or y coordinate (without the aid of a grid).

• 7Gp.03 Use knowledge of translation of 2D shapes to identify the corresponding points between the original and the translated image, without the use of a grid.

• 7Gp.04 Reflect 2D shapes on coordinate grids, in a given mirror line (x- or y-axis), recognising that the image is congruent to the object after a reflection.

• 7Gp.05 Rotate shapes 90° and 180° around a centre of rotation, recognising that the image is congruent to the object after a rotation.

• 7Gp.06 Understand that the image is mathematically similar to the object after enlargement. Use positive integer scale factors to perform and identify enlargements.

Statistics and Probability

Statistics

• 7Ss.01 Select and trial data collection and sampling methods to investigate predictions for a set of related statistical questions, considering what data to collect (categorical, discrete and continuous data).

• 7Ss.02 Understand the effect of sample size on data collection and analysis.

• 7Ss.03 Record, organise and represent categorical, discrete and continuous data. Choose and explain which representation to use in a given situation:

o Venn and Carroll diagrams

o tally charts, frequency tables and two-way tables

o dual and compound bar charts

o waffle diagrams and pie charts

o frequency diagrams for continuous data

o line graphs

o scatter graphs

o infographics.

• 7Ss.04 Use knowledge of mode, median, mean and range to describe and summarise large data sets. Choose and explain which one is the most appropriate for the context.

• 7Ss.05 Interpret data, identifying patterns, within and between data sets, to answer statistical questions. Discuss conclusions, considering the sources of variation, including sampling, and check predictions.

Probability

• 7Sp.01 Use the language associated with probability and proportion to describe, compare, order and interpret the likelihood of outcomes.

• 7Sp.02 Understand and explain that probabilities range from 0 to 1, and can be represented as proper fractions, decimals and percentages.

• 7Sp.03 Identify all the possible mutually exclusive outcomes of a single event, and recognise when they are equally likely to happen.

• 7Sp.04 Understand how to find the theoretical probabilities of equally likely outcomes.

• 7Sp.05 Design and conduct chance experiments or simulations, using small and large numbers of trials. Analyse the frequency of outcomes to calculate experimental probabilities.

Happy Learning,

Team,

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