Year 9 Mathematics. Home Learning Booklet. Summer Term 2014

Transcription

1 Year 9 Mathematics Home Learning Booklet (Higher) Summer Term 2014 Name: Teacher: Non Calculator Sheet

2 Homework 10 Homework 9 Homework 8 Homework 7 Homework 6 Homework 5 Homework 4 Homework 3 Homework 2 Homework 1 Topic Question Keep a record of how well you do in this table. You should always try to improve on the previous week. Make sure you look at your corrections and targets so you know what you have to do to achieve better. 1 Powers and Roots 2 Arithmetic 3 Significant figures 4 Pie Charts 5 nth terms 6 Solving Equations 7 Substitution 8 Transformations 9 Negative Number sums 10 Using negative numbers 11 Angle properties 12 Angles in polygons 13 Probability 14 Expectation 15 Percentages 16 Fractions 17 Straight line graphs 18 Ratio 19 Area 20 Averages Below, you or your teacher may set you targets based on a particular type of question. When you achieve it ask your teacher to sign it off. Set Target Achieved & Signature

3 Homework Sheet 1 1 Work out Calculate the missing angle 2 Calculate (show working) 12 What do the angles in a quadrilateral add up to? 3 Round to 2 significant figures. 13 A card is chosen at random from a pack of cards. Find the probability of choosing a diamond 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? 5, 9, 13, 17, Find 20% of Solve the equation 5x Find 4 of If x 7 and y 3, work out 3x 2 y 8 The point (2,4) is translated 3 right. What are the coordinates of the transformed point? 17 Which two lines are parallel? Circle your answers. y 3x 2 y 3x 4 y 2x 4 18 Convert 8 inches into cm If t 4 work out t 2 20 Find the mean of these numbers 4, 8, 8, 9, 11

4 Homework Sheet 2 1 Work out Calculate the missing angle 2 Calculate (show working) 12 What do the angles in a pentagon add up to? 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 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? 1, 9, 17, Find 70% of Solve the equation 6x 2x Find 6 of If x 8 and y 10, work out 5x 1 y 8 The point (-2,6) is translated 2 right and 4 up. What are the coordinates of the transformed point? 17 Which two lines are parallel? Circle your answers. y 5x 3 y 4x 3 y 5x 4 18 Convert 15cm into inches If t 4 work out 4t 2 20 Find the mean of these numbers 3,6,9,15,21,33

5 Homework Sheet 3 1 Work out Calculate the missing angle 2 Calculate (show working) 12 What do the angles in an octagon add up to? 3 Round 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? 8, 14, 20, Find 35% of Solve the equation 5x 2x Find 5 of If x 12 and y 6, work out x 2 y 2 8 The point (5, 9) is translated 6 left and 3 down. What are the coordinates of the transformed point? 17 Which two lines are parallel? Circle your answers. y 5x 6 y 6 5x y 6 5x 18 Share 40 in the ratio 5: If t 3 work out 4t 2 20 Find the mean of these numbers 3,6,4,7,7,8, 7

6 Homework Sheet 4 1 Work out Calculate the missing angles 2 Calculate (show working) 12 Find the size of each interior angle in a regular hexagon? 3 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 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? 4, 11, 18, Find 45% of Solve the equation 4x 4 2x Find 1 of 2 of If x 4 and y 5, work out 5xy x 2 17 Which two lines have the same y intercept? Circle your answers. y 3x 5 y 3x 5 y 5x 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: If t 2 work out (2t) 3 20 Find the mean of these numbers 3, 7, 2, 9, 4, 7, 3, 7, 5, 2

7 Homework Sheet 5 1 Work out Calculate the missing angles 2 Calculate (show working) 12 Find the size of each interior angle in a regular octagon? 3 Round 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? 30, 27, 24, Find 95% of Solve the equation 8x 12 5x Find 1 of 3 of If x 10 and y 9, work out x(x 2 y) 17 Which two lines have the same y intercept? Circle your answers. y 6 y x 6 x 6 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: Use the formula F=1.8C+32 to convert -10 o C into Fahrenheit. 20 Find the median of these numbers 3, 7, 2, 9, 4, 7, 3, 7, 5, 2

8 Homework Sheet 6 1 Work out Calculate the missing angles 2 Calculate (show working) 12 Find the size of each exterior angle on a regular hexagon? 3 Round to 1 significant figure. 13 Two coins are flipped. Draw a sample space diagram showing all possible outcomes o 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? 45, 40, 35, 30, 15 Find 6% of Solve the equation 7x x 16 2 of a number is 12 9 What s the number? 7 If x 4, y 8 and z 11work out xyz y 2 17 Which line is the rule for the y axis? y x y 0 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: Use the formula F=1.8C+32 to convert -20 o C into Fahrenheit. 20 Find the mean from this frequency table. x f

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10 Homework Sheet 7 1 Use your calculator to work out the following to 1dp Calculate the missing angles 2 Calculate (show working) 12 Find the size of each exterior angle on a regular decagon? 3 By rounding each number to 1sf. Estimate the answer to A coin is flipped and a dice rolled. Draw a sample space diagram showing all possible outcomes o 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? -6, -3, 0, 3, 6, 15 Find 15% of Solve the equation 10x x 16 4 of a number is 16 5 What is the number? 7 If x 3, y 9 and z 5 work out 17 Which line is the rule for the x axis? y 1 z x The point (0,9) is rotated 90 o clockwise about the point (0,0). What are the coordinates of the transformed point? y x y 0 x 0 18 Share 117 in the ratio 5:2: Use the formula F=1.8C+32 to convert -148 o F into Celsius. 20 Find the mean from this frequency table. x f

11 Homework Sheet 8 1 Use your calculator to work out the following Calculate the missing angle 2 Calculate (show working) 12 A regular polygon has an exterior angle of 18 o. How many sides does it have? 3 By rounding each numbger to 1sf. Estimate the answer to 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? 4 72 o 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? 1, 4, 9, 16, 25, 36, 15 Find 2.5% of80. 6 Solve the equation 8x 4 58 x 16 5 of a number is 25 9 What is the number? 7 If x 10, y 0.5 and z 19 work out 17 Which point if not on the line y 3x 1? z x y 8 The point (4,0) is rotated 90 o anticlockwise about the point (0,0). What are the coordinates of the transformed point? (0,1) (3,9) (2,7) 18 Share 120 in the ratio 4:1:2:3 2 ( 3) Explain briefly why it is not possible to work out Find the mean from this frequency table. x f

12 Homework Sheet 9 1 Use your calculator to work out the following to 2dp Calculate the values of a and x 2 Calculate (show working) 12 A regular polygon has an exterior angle of 24 o. How many sides does it have? 3 By rounding each number to 1sf. Estimate the answer to 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? o 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? 3, 3.5, 4, 4.5, 5, 15 Find 17.5% of Solve the equation 6x x 16 7 of a number is 14 8 What is the number? 7 If x 4, y 9 and z 13 work out 17 Which point is not on the line y 5x 6? x 3y 2 z (-1,-11) (2,4) (0,-1) 8 The point (2,6) is rotated 180 o 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 ( 8) What are the 2 square roots of 16? 20 Find the mean from this frequency table. x f

13 Homework Sheet 10 1 Use your calculator to work out the following to 3dp Calculate the missing angle 2 Calculate (show working) 12 A regular polygon has an interior angle of 150. How many sides does it have? 3 By rounding to 1sf. Estimate the answer to 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 o 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? a, 2a, 3a, 4a, 5a 15 Find 17.5% of50. 6 Solve the equation 3(x 2) 5x of a number is What is the number? 7 If x 6, y 2 and z 3 work out 17 Which point is not on the line y 10 2x? 4xy 3 z 2 (1,10) (5,0) (10,-10) 8 The point (-3,5) is rotated 180 o clockwise about the point (0,0). What are the coordinates of the transformed point? 18 Share 104 in the ratio 4:3:4:2 ( 3) What are the 2 square roots of 81? 20 Find the mean from this frequency table. x f

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