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SURNAME …………………………………… FIRST NAME ……………………………………… TEACHER: …………………………………… SET: ……………………………………………….. Year 8 Mathematics Homework Higher Autumn term - part 1 Write your name in the space above. All questions should be attempted. You must show all your working. Answers given as fractions should be reduced to their lowest terms. Please fill in your summary sheet with your results. Comments % Total (End of term) Homework 5 Homework 4 Homework 3 Homework 2 Homework 1 Powers and Roots Arithmetic Significant figures Summary Pie Charts nth terms In each column colour in a bar chart as high as the mark you got in that homework. You should always aim to improve on what you achieved in your previous homework Solving Equations Substitution Transformations Negative Number sums Using negative numbers Angle properties Angles in polygons Probability Expectation Percentages Fractions Straight line graphs Ratio Area Averages Total (End of each HW) % Targets Using your homework sheet set yourself 3 targets based on a particular type of question. When you achieve it ask your teacher to sign it off. Date Set Teacher Comment: Comments Target Date Achieved & Signature Homework Sheet 1 Date 1 Work out 11 Calculate the missing angle 12 What do the angles in a quadrilateral add up to? 53 2 Calculate 14 3 Round 6.7493 to 2 significant figures. 13 A card is chosen at random from a pack of cards. Find the probability of choosing a diamond. 4 12 out of 30 people chose their favourite colour as blue. Calculate the angle you would use for blue on a pie chart. 14 If you roll a normal dice 120 times. How many 4’s would you expect to get? Find the nth term for the sequence 5, 9, 13, 17, 21 15 Find 20% of 130. 16 Find 17 Which two lines are parallel? Circle your answers. 5 23 (show working) 6 Solve the equation 7 If 5x 7 32 x 7 and y 3 , work out 3x 2 y 4 5 of 35 y 3x 2 y 3x 4 y 2x 4 8 The point (2,4) is translated 3 right. What are the coordinates of the transformed point? 18 Convert 8 inches into cm. 9 Work out 19 Find the area of this shape 20 Find the mean of these numbers 4, 8, 8, 9, 11 7 9 10 If t 4 work out t2 Comments Homework Sheet 2 1 Date Work out 11 Calculate the missing angle 12 What do the angles in a pentagon add up to? 49 2 Calculate 3 Round 34,696 to 2 significant figures. 13 A card is chosen at random from a pack of cards. Find the probability of choosing an ace. 4 41 out of 120 people chose their favourite fruit as bananas. Calculate the angle you would use for bananas on a pie chart. 14 If you roll a normal dice 120 times. How many odd numbers would you expect to get? 5 Find the nth term for the sequence 1, 9, 17, 25 15 Find 70% of 150. 6 Solve the equation 16 Find 7 If 17 Which two lines are parallel? Circle your answers. 5238 (show working) 6x 2x 40 x 8 and y 10 , work out 6 7 of 56 y 5x 3 y 4x 3 5x y 1 y 5x 4 8 The point (-2,6) is translated 2 right and 4 up. What are the coordinates of the transformed point? 18 Convert 15cm into inches. 9 Work out 19 Find the area of this shape 20 Find the mean of these numbers 3,6,9,15,21,33 5 2 10 10 If t 4 work out 4t 2 Mark Comments Effort Homework Sheet 3 1 Work out 2 Calculate 3 Date 11 Calculate the missing angle 12 What do the angles in an octagon add up to? Round 0.002391 to 2 significant figures. 13 A card is chosen at random from a pack of cards. Find the probability of choosing a picture card. 4 8 out of 20 people said they watched Eastenders last night Calculate the angle you would use in a pie chart. 14 There are 4 red and 5 blue counters in a box. A counter is chosen and then replaced. If you did this 180 times, how many times would you expect to get a blue? 5 Find the nth term for the sequence 8, 14, 20, 26… 15 Find 35% of 80. 6 Solve the equation 16 Find 7 If 17 Which two lines are parallel? Circle your answers. 364 14 (show working) 5x 2x 33 x 12 and y 6 , work out x y 2 5 12 of 96 y 5x 6 y 6 5x 2 y 6 5x 8 The point (5, 9) is translated 6 left and 3 down. What are the coordinates of the transformed point? 18 Share £40 in the ratio 5:3 9 Work out 19 Find the area of this shape 20 Find the mean of these numbers 3,6,4,7,7,8, 7 39 2 10 If t 3 work out 4t Mark Comments 2 Effort Homework Sheet 4 Date 11 Calculate the missing angles 12 Find the size of each interior angle in a regular hexagon? Round 104, 547 to 3 significant figures. 13 An ace is chosen from a pack of cards, another card is chosen at random. Find the probability of choosing another ace. 13 out of 60 people surveyed were left handed. Calculate the angle you would use in a pie chart. 14 There are 3 red and 9 blue counters in a box. A counter is chosen and then replaced. If you did this 144 times, how many times would you expect to get a blue? Find the nth term for the sequence 4, 11, 18, 25… 15 Find 45% of 240. 16 Find 17 Which two lines have the same y intercept? Circle your answers. 1 Work out 2 Calculate 1092 3 4 32 23 5 42 6 Solve the equation 7 If (show working) 4x 4 2x 10 x 4 and y 5 , work out 5xy x2 1 2 of 23of 12 y 3x 5 y 3x 5 8 The point (3, 7) is reflected in the y axis. What are the coordinates of the transformed point? 18 Share £72 in the ratio 2:7 9 Work out 19 Find the area of this shape 20 Find the mean of these numbers 3, 7, 2, 9, 4, 7, 3, 7, 5, 2 10 5 10 5 If t 2 work out (2t)3 Mark Comments Effort y 5x 5 Homework Sheet 5 1 Date Work out 11 Calculate the missing angles 12 Find the size of each interior angle in a regular octagon? 4 2 Calculate 3 Round 0.00009893 to 1 significant figure. 13 A diamond is chosen from a pack of cards, then another card is chosen at random. Find the probability of choosing another diamond. 4 7 out of 10 students got full marks on their test. Calculate the angle you would use in a pie chart. 14 There are 10 counters in a box. A counter is chosen and replaced 100 times, the results are 58 blue and 42 red. How many of each colour do you think there are in the box? Find the nth term for the sequence 30, 27, 24, 21… 15 Find 95% of160. 16 Find 17 Which two lines have the same y intercept? Circle your answers. 5 81 43 (show working) 6 Solve the equation 7 If 8x 12 5x 15 x 10 and y 9 , work out x(x 2y) 1 9 of 34 of 24 y6 y x6 8 The point (-4,8) is reflected in the x axis. What are the coordinates of the transformed point? 18 Share £56 in the ratio 1:3:4 9 Work out 19 Find the area of this shape 20 Find the median of these numbers 3, 7, 2, 9, 4, 7, 3, 7, 5, 2 6 32 10 10 Use the formula F=1.8C+32 to convert -10oC into Fahrenheit. Mark Comments Effort x 6 SURNAME …………………………………… FIRST NAME ……………………………………… TEACHER: …………………………………… SET: ……………………………………………….. Year 8 Mathematics Homework Higher Autumn term - part 2 Write your name in the space above. All questions should be attempted. You must show all your working. Answers given as fractions should be reduced to their lowest terms. Please fill in your summary sheet with your results. Mark Comments Effort % Total (End of term) Homework 10 Homework 9 Homework 8 Homework 7 Homework 6 Powers and Roots Arithmetic Significant figures Summary Pie Charts nth terms In each column colour in a bar chart as high as the mark you got in that homework. You should always aim to improve on what you achieved in your previous homework Solving Equations Substitution Transformations Negative Number sums Using negative numbers Angle properties Angles in polygons Probability Expectation Percentages Fractions Straight line graphs Ratio Area Averages Total (End of each HW) % Targets Using your homework sheet set yourself 3 targets based on a particular type of question. When you achieve it ask your teacher to sign it off. Date Set Target Date Achieved & Signature Teacher Comment: Mark Comments Effort Homework Sheet 6 Date 11 Calculate the missing angles 12 Find the size of each exterior angle on a regular hexagon? Round 9.995 to 1 significant figure. 13 Two coins are flipped. Draw a sample space diagram showing all possible outcomes. 4 45o is used in a pie chart to represent 6 people. How many people were there altogether? 14 There are 20 counters in a box. A counter is chosen and replaced 100 times, the results are 32 blue and 68 red. How many of each colour do you think there are in the box? 5 Find the nth term for the sequence 45, 40, 35, 30,… 15 Find 6% of 150. 6 Solve the equation 1 Work out 2 Calculate 3 3 106 45 6 (show working) 7x 11 19 3x 16 of 2 a number is 12 9 What’s the number? 7 If x 4 , y 8 and z 11work out xyz y 17 Which line is the rule for the y axis? yx y0 2 x 0 8 The point (0,5) is reflected in the line y=x. What are the coordinates of the transformed point? 18 Share £240 in the ratio 8:3:1 9 Work out 19 Find the area of this shape 20 Find the mean from this frequency table. 43 26 10 Use the formula F=1.8C+32 to convert -20oC into Fahrenheit. Mark Comments Effort x f 1 2 2 2 3 5 4 1 Homework Sheet 7 1 Use your calculator to work out the following to 1dp 4 Date 11 Calculate the missing angles 12 Find the size of each exterior angle on a regular decagon? 13 A coin is flipped and a dice rolled. Draw a sample space diagram showing all possible outcomes. 120 2 Calculate 1898 3 By rounding each number to 1sf. Estimate the answer 4 30o is used in a pie chart to represent 5 people. How many people were there altogether? 14 A dice is rolled 258 times. How many times would you expect to get an odd prime number? 5 Find the nth term for the sequence -6, -3, 0, 3, 6,… 15 Find 15% of 70. 6 Solve the equation to 32 532 (show working) 7.238125.5413 10x 12 48 2x 16 of 4 a number is 16 5 What is the number? 7 If y x2 x 3 , y 9 and z 5 work out 17 Which line is the rule for the x axis? yx x 0 y0 12z 8 The point (0,9) is rotated 90o clockwise about the point (0,0). What are the coordinates of the transformed point? 18 Share £117 in the ratio 5:2:6 9 Work out 19 Find the area of this shape 20 Find the mean from this frequency table. 100 3 9 25 10 Use the formula F=1.8C+32 to convert -148oF into Celsius. Mark Comments Effort x f 1 5 2 2 3 1 4 2 Homework Sheet 8 Date 11 Calculate the missing angle 12 A regular polygon has an exterior angle of 18o. How many sides does it have? 13 The probability David is early to school is 0.1 and he is late 4 out of 10 times. What is the probability he is on time? 72o is used in a pie chart to represent 4 people. How many people were there altogether? 14 A fair spinner is numbered 1 to 8. It is spun 768 times. How many times would you expect to get a square number? 5 Find the nth term for the sequence 1, 4, 9, 16, 25, 36,… 15 Find 2.5% of80. 6 Solve the equation 1 Use your calculator to work out the following 2 Calculate 3 By rounding each numbger to 1sf. Estimate the answer 4 5.34 to 312 42 (show working) 236 75 8x 4 58 x 16 5 9 of a number is 25 What is the number? 7 If x 10 , y 0.5 z 19 work out and 17 Which point if not on the line z x y (0,1) y 3x 1 ? (3,9) (2,7) 8 The point (4,0) is rotated 90o anticlockwise about the point (0,0). What are the coordinates of the transformed point? 18 Share £120 in the ratio 4:1:2:3 9 Work out 19 Find the area of this shape 20 Find the mean from this frequency table. 2 (3)2 10 50 10 Explain briefly why it is not possible to work out Mark Comments Effort x f 10 8 20 3 30 6 40 3 Homework Sheet 9 1 Date Use your calculator to work out the following to 2dp 3 11 Calculate the values of a and x 12 A regular polygon has an exterior angle of 24o. How many sides does it have? 13 The probability Emma is early to school is 0.05 and she is late 3 out of 20 times. What is the probability she is on time? 350 2 Calculate 3 By rounding each number to 1sf. Estimate the answer 4 108o is used in a pie chart to represent 12 people. How many people were there altogether? 14 A fair 20 sided dice is rolled 1000 times. How many times would you expect to roll a multiple of 6? 5 Find the nth term for the sequence 3, 3.5, 4, 4.5, 5,… 15 Find 17.5% of160. 6 Solve the equation to 299 48 (show working) 0.004635.293 6x 4 100 2x 16 7 8 of a number is 14 What is the number? 7 If x 4 , y 9 and z 13 work out 17 Which point is not on the line (-1,-11) x 3y 2 z y 5x 6 ? (2,4) (0,-1) 8 The point (2,6) is rotated 180o anticlockwise about the point (0,0). What are the coordinates of the transformed point? 18 Share £105 in the ratio 7:2:2:4 9 Work out 19 Find the area of this shape 20 Find the mean from this frequency table. 9 (8)2 2 32 10 What are the 2 square roots of 16? Mark Comments Effort x f 11 3 12 5 13 1 14 1 Homework Sheet 10 1 Date Use your calculator to work out the following to 3dp 5 11 Calculate the missing angle 12 A regular polygon has an interior angle of 150. How many sides does it have? 13 In a sixth form of 100 students, 32 study Biology, 25 study Maths and 13 study both Biology and Maths. Find the probability a student chosen at random studies Maths or Biology or both. 194 2 Calculate 3 By rounding to 1sf. Estimate the answer to 4 128o is used in a pie chart to represent 32 people. How many people were there altogether? 14 Two fair dice are rolled together 360 times. How many times would you expect to get a combined score of 2? 5 Find the nth term for the sequence a, 2a, 3a, 4a, 5a 15 Find 17.5% of50. 6 Solve the equation 16 3 10 (show working) 71299 3686.20.0421 3(x 2) 5x 2 of a number is 21 What is the number? 7 If x 6, y 2 and z 3 work out 17 Which point is not on the line (1,10) 4xy3 z 2 y 10 2x ? (5,0) (10,-10) 8 The point (-3,5) is rotated 180o clockwise about the point (0,0). What are the coordinates of the transformed point? 18 Share £104 in the ratio 4:3:4:2 9 Work out 19 Find the area of this shape 20 Find the mean from this frequency table. (3)3 33 33 10 What are the 2 square roots of 81? Mark Comments Effort x f 11 2 12 7 13 8 14 3