Year 11 High Term 1 Overview
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1 Year 11 Term 1 High
2 Year 11 High Term 1 Overview Number Laws of indices (fractional and negative, overlap to algebra) HCF and LCM, Product of primes Estimates Standard form Surds Bounds Algebra Solving Solve linear linear Factorise simultaneous quadratics and solve & Deriving from Algebra shape problems nth term Sketching straight line graphs Sketching quadratic and cubic graphs Solve simultaneous graphically Solve linear Inequalities Real-life graphs Quadratic Rearrange formulae Simplify & solve algebraic fractions nth term & Geometric Solve nonlinear sim- Factorise quadratics ultaneous a>1 progres- y=mx+c Parallel Represent Transformations of and perpendiculaties inequali- graphs graphically Tangents to circles sion Geometry, Shape and Measures 3D Pythagoras and SOH CAH TOA Non-right angle trigonometry Area and circumference of circles Area problems Non-right angle trigonometry Trig graphs Area and perimeter of sectors Volume and surface area of prisms, pyramids and spheres Useful Websites Resources, Past Papers, Video Tutorials and Solutions USERNAME: namesurname@dustonschool.org PASSWORD: berrywood CENTRE ID: duston USERNAME: firstinitialsurname PASSWORD: berrywood
3 Term 1 Homework 1 High Use the websites suggested on the overview page to help complete these questions. Your teacher will let you know when this homework is due. You will go over how to complete these together in class and then you have a go at the next homework which has similar questions. This will increase your success in these topics in the Summer. 1) Solve 3x + y = 1 x 2y = 19 5) Solve 2) 3) Evaluate 6) 4) Factorise
4 7) Convert this decimal to a fraction 11) In 2010, there were 85 rabbits in the local park. The population increased by 12% each year. How many rabbits will in the park in 2018? 12) X is directly proportional to Y 3 When Y = 2 and X = 160 Find a formula for X in terms of Y 8) Work out the equation of the perpendicular line to y=2x + 1 that passes through the point (4, 9) 13) Work out x and y 9) Work out the distance travelled 14) In a box of chocolates there are 5 toffees and 4 creams. Two chocolates are chosen at random from the box. Work out the probability of choosing two the same. 10)
5 Term 1 Homework 2 High Use the websites suggested on the overview page to help complete these questions. Your teacher will let you know when this homework is due. You will go over how to complete these together in class and then you have a go at the next homework which has similar questions. This will increase your success in these topics in the Summer. 1) Solve 3x + 2y = 12 4x - y = 5 5) Solve 2a) B) 3) Evaluate 6) 4) Factorise
6 7) Convert this decimal to a fraction 11) An adult takes 400 mg of pain relief. Each hour, the amount of pain relief in the person s system decreases by about 29%. How much pain relief is left after 6 hours? 12) X is inversely proportional to Y When Y = 12 and X = 8 Find a formula for X in terms of Y Find the value of X when Y = 6 8) Work out the equation of the perpendicular line to y=2x + 3 that passes through the point (4, 7) 13) 9) Work out the distance travelled between A and B 14) In a cafe there is a choice of: 2 starters, 3 mains and 2 desserts. How many different combinations for a starter, main and dessert are there in total? 10) Calculate the nth term of the following sequence: 1, 5, 11, 19, 29,...
7 Term 1 Homework 3 High Use the websites suggested on the overview page to help complete these questions. Your teacher will let you know when this homework is due. You will go over how to complete these together in class and then you have a go at the next homework which has similar questions. This will increase your success in these topics in the Summer. 1) Solve 2x + 4y = -2 3x + 5y = -1 5) Solve 2a) (5.2x10 3 ) x (5x10 6 ) answer in standard form B) (8x10 3 ) (2x10-4 ) answer in standard form 3) Evaluate 6) M is the midpoint of CD N is the midpoint of BD Write down the vector MN 4) Factorise
8 7) Convert this decimal to a fraction 11) A town s population is The projected growth in population is 8% per annum over the next 4 years. What is the increased population likely to be in 4 years time? 12) W is directly proportional to L When L = 25 and W = 6 Find a formula for W in terms of L Find the value of W when L = 30 8) Work out the equation of the perpendicular line to y=5 - ½ x that passes through the point (4, 11) 13) 9) Work out the distance travelled between B and C 14) A photograph 4cm wide has an area of 21cm 2. A similar photograph has an area of 189cm 2 What is the width of the larger photograph? 10) Calculate the nth term of the following sequence: -2, 1, 6, 13, 22,...
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