Neston High School Mathematics Faculty Homework Booklet

Transcription

1 Neston High School Mathematics Faculty Homework Booklet Year: 8 Scheme: 2 Term: 2

2 Homework Sheet 7 1: Fill in the box Week Beginning 8 th January 11: In the space below draw an angle of 142 o 176 = 94 2: Calculate : A parallelogram has obtuse angles of 130 o ; work out the size of the acute angles. 3: Calculate : A map has a scale of 1cm:0.5km. Work out the length on the map that represents a real life distance of 8km. 4: Calculate : Measure the bearing of B from A N B N 5: Write 110 as a product of primes 15: Baldip has g sweets. Melissa has 2 less than double the number of sweets that Baldip has. Write an expression for the number of sweets that Melissa has. A 1 Simplify 5k + 8-8k + 5 Use this graph to convert 100 lbs to kilograms. 7: I catch a direct train to London that takes 1 hour and 7 minutes. If I catch the train at 8:57 am, what time will I arrive in London? 17: Find the value of 6m + 5n when m = 10 and n = : A buses route is 40 miles long. The time of the first stop is 09:23 and the time of the last stop is 11:53. What speed does the bus need to average to make the last stop on time? 18: Expand 9(8x - 3) C9: Calculate 32% of 60 19: A bag contains 3 black counters, 4 red counters and 5 blue counters. A counter is taken at random Write down the probability that it is not a black counter. 10: Convert 75% to a fraction 20: 17 x 8

3 Homework Sheet 8 Week Beginning 15 th January 1: Work out : Measure the angle below. 2: Calculate -22 x : A kite has two equal angles of 70 o and another angle of 60 o. Work out the size of the fourth angle. 3: Calculate : A map has a scale of 1: Two towns are 4 cm apart on the map. How far apart are they in real life? Give your answer in metres. 4: Calculate : Measure the bearing of B from A. 5: Write 108 as a product of primes 15: Joe has h pens in his pencil case. Meena has 4 more than a third of the number of pens that Joe has. Write an expression for the number of pens that Meena has. B N A N 1 Simplify 3 m m Use this graph to convert 35 kg to lbs. 7: I work from 8:45 am until 5:30 pm. How long do I work? 17: Find the value of 4p + 3q when p = 0.5 and q = 1. C8: A bird flies 78 miles in 2.5 hours; what is the bird s average speed? 18: Expand 5(2x + 3) C9: Calculate 54% of : A bag contains 3 black counters, 4 red counters and 5 blue counters. A counter is taken at random Write down the probability that it is not a red counter. 10: Convert 0.2 to a percentage 20: 12 x 16

4 Homework Sheet 9 Week Beginning 22 nd January 1: Double : In the space below draw an angle of 205 o 2: Calculate : An arrowhead has equal angles of 30 o and a further angle of 50 o. Work out the size of the reflex angle. 3: Calculate : A map has a scale of 1: Two towns are 9cm apart on the map. How far apart are they in real life? Give your answer in kilometres. 4: Calculate : The bearing of B from A is 040 o. Work out the 5: Write 117 as a product of primes 15: David is j cm tall. Abdul is three-quarters of David s height. Write an expression for Abdul s height. 1 Simplify 3n - 2-7n - 9 Use this graph to convert 80 kmph to mph. 7: I have to be at the train station for 17:28 to catch my train. If it will take me 47 minutes to get to the station, what is the latest time I can leave? 17: Find the value of 4r - 3s when r = 0.25 and s = 8 C8: A car travels for 3 hours 30 minutes at an average speed of 32 mph. Find the distance travelled. 18: Expand 3(4 - x) C9: Calculate 87% of 180 kg 19: A bag contains 3 black counters, 4 red counters and 5 blue counters. A counter is taken at random Write down the probability that it is not a blue counter. 10: Convert 0.6 to a fraction in its simplest form. 20: 6 x 19

5 Homework Sheet 10 Week Beginning 29 th January 1: Multiply 0.47 by : Measure the angle below 2: Calculate : Work out the size of the interior angles in a regular hexagon. 3: Calculate : A map has a scale of 1: Two towns are 15cm apart on the map. How far apart are they in real life? Give your answer in metres. 4: Calculate : The bearing of B from A is 075 o. Work out the 5: Write 132 as a product of primes 15: Malik s suitcase weighs k kg. His sister s suitcase weighs 2 kg more than Malik s. Write an expression for the total weight of the two suitcases. 1 Simplify 2 p 2 p Use this graph to convert 25 mph to kmph. 7: My favourite film starts on TV at 18:55. The film lasts for 2 hours and 17 minutes. What time will it finish? 17: Find the value of 2t - 5u when t = 0.2 and u = 0.3 C8: A person walks for half an hour and covers a distance of 2.5 kilometres. What is the person s average speed? Give your answer in kilometres per hour. 18: Expand 4(9 - x) C9: Calculate 7% of 54 metres 19: A bag contains black counters, red counters and blue counters. Kim reaches into the bag 50 times, each time noting the colour and replacing the counter. Kim pulls out 10 black counters. Estimate the probability of the next counter Kim pulls out being a black counter. 10: Convert 0.03 to a percentage 20: 17 x 12

6 Homework Sheet 11 Week Beginning 5 th February 1: Halve : In the space below draw an angle of 295 o 2: Calculate : Work out the size of the interior angles in a regular decagon. 3: Calculate : A map has a scale of 1: Two towns are 3 km apart. How far apart are they on the map? Give your answer in cm. 4: Calculate : The bearing of B from A is 117 o. Work out the 5: Write 196 as a product of primes 15: Oleg has m downloaded songs. Bruce has 7 less than Oleg. Write an expression for the total number of songs they both have. 1 Simplify 3q 2 + 4q + 5q 2 + 3q Use this graph to convert 55 kmph to mph. 7: The record for the marathon is 2 hours 3 minutes. A runner starts a marathon at 10:12 and finishes at 12:21; how much slower than the record was the runner? 17: Find the value of v - 5w when v = 6 and w = -2 C8: A car travels at a constant speed of 30 mph away from a starting point. Explain what this would look like when plotted on a graph of distance against time. 18: Expand 7(2 - x) C9: Calculate 61% of : A bag contains black counters, red counters and blue counters. Kim reaches into the bag 80 times, each time noting the colour and replacing the counter. Kim pulls out 10 black counters. Estimate the probability of the next counter Kim pulls out being a black counter. 10: Convert 33.3 % to a fraction 20: 16 x 16

7 Homework Sheet 12 1: Fill in the missing number Week Beginning 12 th February 11: Measure the angle below = 397 2: Calculate -13 x : Work out the interior angle in a regular dodecagon. 3: Calculate : A map has a scale of 1: Two towns are 3 km apart. How far apart are they on the map? Give your answer in cm. 4: Calculate : The bearing of B from A is 162 o. Work out the 5: Write 210 as a product of primes 15: Xhou weighs n kg. Lisa weighs 5 kg less than Xhou. Samantha weighs 2 kg more than Xhou. Write an expression for their total weight. 1 Simplify 4r 2s Use this graph to convert 20 mph to kmph. 7: The extended directors cut of a DVD has an extra 17 minutes of footage compared to the normal DVD. If the extended DVD is 3 hours 4 minutes long, how long is the normal DVD? C8: A train travels at an average speed of 45 mph for 40 minutes, then stops at a station for 5 minutes, then continues at an average speed of 50 mph for 1 hour 15 minutes. Calculate the average speed of the train. 17: Find the value of 5x - 3y when x = -0.2 and y = : Multiply out 6(3-2x) C9: Calculate 99% of : A bag contains black counters, red counters and blue counters. Kim reaches into the bag 150 times, each time noting the colour and replacing the counter. Kim pulls out 60 black counters. Estimate the probability of the next counter Kim pulls out being a black counter. 10: Convert 1.23 to a percentage 20: 19 x 7

8 Homework Sheet 13 Week Beginning Spring Half Term 1: Double : In the space below draw an angle of 3 o 2: Calculate : An isosceles triangle has an angle of 80 o. Work out the two possible other angles in the triangle. 3: Calculate : A map has a scale of 1: Two towns are 3 km apart. How far apart are they on the map? Give your answer in cm. 4: Calculate : The bearing of B from A is 200 o. Work out the 5: Write 286 as a product of primes 15: Paul has 25 books. John has p less than Paul. Chris has q more than Paul. Write an expression for the total number of books they all have. 1 Simplify 4t 2 + 3t t 2-7t + 12 Use this graph to convert 4 gallons into litres. 7: On the shortest day of the year, sunrise is at 8:04 and sunset is at 15:53. How many hours of sunshine does the shortest day of the year have? 17: Find the value of 4z + 2a when z = -0.3 and a = -0.8 C8: Light travels at approximate 300,000 km/s. It takes 8 minutes for light from the sun to reach earth. Roughly how far from the Sun is Earth? 18: Multiply out 8(4-5x) C9: Calculate 1% of 99 19: A bag contains black counters, red counters and blue counters. Kim reaches into the bag 250 times, each time noting the colour and replacing the counter. Kim pulls out 10 black counters. Estimate the probability of the next counter Kim pulls out being a black counter. 10: Convert 3 2 to a decimal 20: 7 x 13

9 Homework Sheet 14 Week Beginning Spare 1: Divide 25.6 by : Measure the angle below 2: Calculate -14 x 8 12: A regular polygon has interior angles of 160 o. Work out the number of sides of the polygon. 3: Calculate : A map has a scale of 1: Two towns are 3 km apart. How far apart are they on the map? Give your answer in cm. 4: Calculate : The bearing of B from A is 323 o. Work out the 5: Write 360 as a product of primes 15: Charles has r. Harry has 5 less than Charles. Petunia has double the amount of money that Harry has. Write an expression for their total amount of money. 1 Simplify 4u 3v 2u Use this graph to convert 30 litres into gallons. 7: A chicken takes 2 hours and 20 minutes to cook. If I want to serve dinner at 18:15, what time should I put the chicken in the oven? C8: During a storm, thunder sounds after lightning because sound travels more slowly through air than light, which can be assumed to be instantaneous. The speed of sound in air is 343 metres per second. If thunder is heard 7 seconds after lightning is seen, how far away is the storm? Give your answer in km. 17: Find the value of 3b - 2c when b = -1.5 and c = :Multiply out -3(4-7x) C9: Calculate 11% of 101kg 19: A bag contains black counters, red counters and blue counters. Kim reaches into the bag 250 times, each time noting the colour and replacing the counter. Kim pulls out 40 black counters. Estimate the probability of the next counter Kim pulls out being a black counter. 10: Convert 8 1 to a percentage 20: 18 x 18

10 Sheet Mark Question Topic 1 Numeracy 2 Integers 3 Powers 4 Roots 5 Primes 6 Graphs 7 Time 8 Travel 9 Percentage Calculations 10 Fraction, Decimal, Percentage Conversion 11 Angle measuring and drawing 12 Angle calculations 13 Scales 14 Bearings 15 Expressions and Formulae 16 Simplifying 17 Substitution 18 Expanding 19 Probability 20 Times Tables Homework 1 Homework 2 Homework 3 Homework 4 Homework 5 Homework 6 Homework 7 Homework 8 Homework 9 Homework 10 Homework 11 Homework 12 Homework 13 Homework 14 Homework 2 Target Homework 3 Target Homework 4 Target Homework 5 Target Homework 5 Target Homework 6 Target Homework 7 Target Homework 8 Target Homework 9 Target Homework 10 Target Homework 11 Target Homework 12 Target Homework 13 Target Homework 14 Target