Stratford upon Avon School Mathematics Homework Booklet

Transcription

1 Stratford upon Avon School Mathematics Homework Booklet Name: Year: 9 Scheme: 1 Term: 3

2 Homework Sheet 25 1: Multiply 82 x : Calculate : Find the HCF of 78 and 52 12: The coordinate (3, 5) is reflected to the coordinate (7, 5). Write down the line of reflection. 3: At how many different points is the object moving? 13: Write a list of 5 numbers with a mode of 9 C4: Calculate 36% of 540 kg 14: Solve the equation 5x = 12 5: Write down the value of angle a 15: Jack and Jill share money in the ratio 3:5. If they have 120 in total, work out how much Jack gets. 6: Simplify u v 2u + 2v 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 5 seconds, it goes 1 metre. Work out how far it travels in 15 seconds. 7: In a bag there are red, blue and green counters. The number of counters of each colour is the same. Write down the probability of getting a red counter. 17: Draw the front elevation of this shape 8: The area of a square is 36cm 2. Find its perimeter. 18: Write down the next two terms of this sequence 2, 9, 16, 23, 9: A point (c, 8) lies on the line y = 3x + 2. Work out the value of c. 19: Write down the fraction of people that chose Plain crisps 10: Round to the nearest : 6 x 8 Mark: Effort:

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4 Homework Sheet 26 1: Double : Calculate x : Find the LCM of 78 and 52 12: The coordinate (3, 7) is translated to the coordinate (4, 9). Give the translation vector. 3: Tom leaves for work at 7:19 am and arrives at 8:06 am. Work out how long it takes Tom to get to work. 13: Write a list of 5 numbers with a median of 9. C4: Increase 297 by 39% 14: Solve the equation p 7 = 17 5: Find the value of angle a 15: Jack and Jill share money in the ratio 3:5. If Jill gets 120, work out how much Jack gets. 6: Expand 8t(3 2t) 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 5 seconds, it goes 1 metre. Work out how long it takes to go 10 metres. 7: In a bag there are red, blue and green counters. The number of red and blue counters is the same. There are twice as many green counters as red. Work out the probability of taking a red counter. 17: Draw the side elevation of this shape 8: The perimeter of a square is 36 cm. Find its area. 18: Write down the nth term of this sequence 2, 9, 16, 23, 9: Write down the equation of the line 19: Describe the correlation shown in this scatter graph 10: Estimate the value of 3.9 x : 9 x 12 Mark: Effort:

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6 Homework Sheet 27 1: Fill in the box to complete this calculation 11: Calculate = 149 2: Calculate : The coordinate (4, 1) is rotated 180 o to the coordinate (-4, -1). Give the centre of rotation. 3: Use this graph to work out how many metres is equal to 15 feet. 13: Write a list of 5 numbers with a mode and median of 9. C4: Decrease 4500 ml by 23% 14: Solve the equation 12 g = 3 5: Calculate the value of angle a 15: Jack and Jill share money in the ratio 3:5. If Jack gets 120 in total, work out how much Jill gets. 6: Write an expression that is half of the square of y. 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 5 seconds, it goes 1 metre. Work out the distance travelled in one minute. 7: In a bag there are red, blue and green counters. There are twice as many blue counters as red. There are twice as many green counters as red. Work out the probability of getting a red counter. 8: A square has the same numerical value of its area and perimeter. Find the side length of the square. 9: A square has vertices at coordinates (2, 3), (3, 4) and (4, 3). Give the coordinate of the fourth vertex. 17: Draw the plan of this shape 18: Fill in the gaps in this linear sequence 2, 6,., 14,.,. 19: Write down the fraction of people that chose Salt and Vinegar crisps 10: Round to the nearest : 11 x 10 Mark: Effort:

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8 Homework Sheet 28 1: Calculate : Calculate 4 x : Calculate -5 x -7 12: A coordinate is reflected in the line y = -3 to give the coordinate (6, -4). Give the coordinate of the original point. 3: For how long in total is the object stationary? 13: Write a list of 5 numbers with a mode, median and mean all of 9, where not all of the numbers are 9. 4: Convert 24% to a fraction in its simplest terms. t 14: Solve the equation 9 5 5: Write down the value of angle a 15: Jack and Jill share money in the ratio 3:5. If Jack gets 120 less than Jill, work out how much Jack gets. C6: Given P = Ri 2, find P when R = 3 and i = : For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 5 seconds, it goes 1 metre. Work out how long it takes to travel 100 metres, giving your answer in minutes and seconds. 7: In a bag there are red, blue and green counters. There are twice as many blue counters as red. There are twice as many green counters as blue. Work out the probability of getting a red counter. 17: Draw the front elevation of this shape 8: A rectangle has a width of 5 cm. Its area is 35 cm 2. Calculate the perimeter of the rectangle. 18: Write down the next two terms of this sequence 1, 2, 4, 8, 16, 9: The point (4, k) lies on the line y = 2x + 5. Work out the value of k. 19: Describe the correlation shown in this scatter graph 10: Estimate the calculation Mark: : 9 x Effort:

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10 Homework Sheet 29 1: Halve : Calculate 4.06 x 2.6 2: Write 96 as a product of prime factors 3: François is on a plane that leaves at 10:35 pm and travels overnight on a flight lasting 6 hours and 40 minutes. What time will François will arrive? 3 12: A coordinate is translated using vector 2 give coordinate (2, 5). Write down the original coordinate. 13: How many people scored 90% or more? to C4: Calculate 112% of 250 lbs 14: Solve the equation ¼v = 2.5 5: Calculate the value of angle a 15: Leah, Mikhail and Naureen share money in the ratio 3:5:7. If they share 210 in total, work out how much Leah gets. 6: Simplify 7u x 3v x 2u 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 5 seconds, it goes 2 metres. Work out how far it travels in 15 seconds. 7: In a bag there are red, blue and green counters. There are twice as many blue counters as red. There are twice as many green counters as the total of blue and red. Work out the probability of getting a red. 17: Draw the side elevation of this shape 8: A triangle and a rectangle have the same area and same height. If the triangle has a base of 8 cm, work out the perimeter of the rectangle. 18: Write down the next two terms of this sequence 15, 11, 7, 3, 9: Write down the equation of the straight line. 19: If 120 people were surveyed, how many people chose cheese and onion? 10: Round to the nearest : 6 x 12 Mark: Effort:

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12 Homework Sheet 30 1: Multiply x : Calculate ( ) 2: Find the HCF of 54 and 72 12: A coordinate (1, 2) is rotated 90 o degrees clockwise to give the coordinate (2, 1). Give the coordinate of the centre of rotation. 3: Use this graph to convert 7.5 metres to feet. 13: Write a list of 6 numbers with a mode of 1, a median of 2 and a mean of 3. C4: Increase $720 by 45% 14: Solve the equation 4q 9 = 10 5: Calculate the value of angle a 15: Leah, Mikhail and Naureen share money in the ratio 3:5:7. If they share 210 in total, work out how much Mikhail gets. 6: Simplify 4k 3 3k 2 + 5k 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 5 seconds, it goes 2 metres. Work out how long it takes to go 1 metre. 7: In a bag there are red, blue and green counters. There are twice as many blue counters as red. Altogether the total of blue and red is twice the total of green. Work out the probability of red. 17: Draw the plan of this shape 8: A square and rectangle have the same area. If the perimeter of the square is 32 cm, work out the sum of the length and width of the rectangle. 18: Write down the nth term of this sequence 15, 11, 7, 3, 9: A parallelogram has vertices at (3, 4), (3, 5) and (4, 5). Give the two possible coordinates of the fourth vertex. 19: Predict the number of hours needed to revise to get a grade C. 10: Estimate the calculation Mark: : 11 x Effort:

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14 Homework Sheet 31 1: Calculate : A case of drinks contains 144 cans. Each can costs 45p. Work out the cost of the case. 2: Find the LCM of 54 and 72 12: The coordinate (-3, 5) is reflected in the line x = 1. Give the image coordinate. 3: Work out the total distance travelled. 13: Find the median test score: C4: Decrease 112 metres by 65% 14: Solve the equation 3w + 9 = 6 5: Calculate the value of angle a 15: Leah, Mikhail and Naureen share money in the ratio 3:5:7. If they share 210 in total, work out how much Naureen gets. 6: Expand pq(p + q) 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 5 seconds, it goes 2 metres. Work out how far it travels in 22 seconds. 7: In a bag there are red, blue and green counters. Stefan reaches into the bag 30 times, takes a counter, notes its colour and replaces it. 6 of the counters he takes out are red. Estimate the probability that the next counter is red. 8: The perimeter of a rectangle is 18 cm. The length of the rectangle is twice its width. Work out the area. 9: The coordinate (k, 5) lies on the line x + y = 3. Work out the value of k. 17: Draw the front elevation of this shape 18: Fill in the missing terms in this linear sequence., 5, 9,.,., 21 19: If 12 people chose salt and vinegar, work out the number of people that chose cheese and onion. 10: Round to the nearest whole number. 20: 8 x 7 Mark: Effort:

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16 Homework Sheet 32 1: Halve : Calculate x 2 2: Calculate : The coordinate (-3, -4) is translated using the vector 2. Give the coordinate of the image. 1 3: Lily gets to school 8:07 am having travelled for 48 minutes. What time did she leave for school? C13: The mean weight of 9 apples is 43.7 grams. Calculate the total weight of the apples. 4: Convert ⅗ to a percentage. r 14: Solve the equation : Calculate the value of angle a 15: Leah, Mikhail and Naureen share money in the ratio 3:5:7. If Leah gets 210 in total, work out how much the others get. 6: Write an expression that is one less than half of the square of y. 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 5 seconds, it goes 2 metres. Work out how long it takes to travel a kilometre. Give your answer in minutes and seconds. 7: In a bag there are red, blue and green counters. Stefan reaches into the bag 30 times, takes a counter, notes its colour and replaces it. 6 of the counters he takes out are red. If we know there are 10 counters in the bag, estimate the number of counters that are red. 17: Draw the side elevation of this shape 8: The area of a square is 100 cm 2. A rectangle has the same area, but a width half the length of the square. Work out the perimeter of the rectangle. 18: Write down the next two terms of this sequence 6, 18, 54, 162, 9: Give the equation of the line 19: Predict the height of child with a weight 12 kg. 10: Estimate the value of Mark: : 12 x Effort:

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18 Homework Sheet 33 1: Fill in the box 343 = 49 11: A meal costing is shared equally between 5 people. Work out the cost for each person. 2: Calculate : The coordinate (4, -2) is rotated 90 o anti-clockwise using centre (1, 0). Give the coordinate of the image point. 3: Use this graph to convert 30 feet into metres. C13: A pupil scores a mean average of 7.6 over the first 10 tests of the year. On the next test they score 8 out of 10. Work out their new mean average. C4: Calculate 0.75% of : Solve the equation 5(2y 3) = 12 5: Calculate the value of angle a 15: Leah, Mikhail and Naureen share money in the ratio 3:5:7. Mikhail gets 210, work out how much the others get. 6: Given that E = ½mv 2 ; calculate E when m = 7 and v = 6. 7: In a bag there are red, blue and green counters. Stefan reaches into the bag 30 times, takes a counter, notes its colour and replaces it. 6 of the counters he takes out are red. If there are 100 counters in the bag, estimate the number of red counters in the bag. 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 3 seconds, it goes 2 metres. Work out how far it travels in 15 seconds. 17: Draw the plan of this shape 8: A rectangle has a length that is a multiple of its width. The area of the rectangle is 24 cm 2. If the width is greater than 1, calculate the perimeter of the rectangle. 9: A kite has vertices at (2, 1), (1, 2), (2, 3) and (6, 2). Give the equation of the line of reflection in the kite. 18: Write down the next two terms of this sequence -4, -1, 2, 5, 19: If 54 people choose cheese and onion, work out how many people chose plain. 10: Round to 1 decimal place. 20: 9 x 9 Mark: Effort:

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20 Homework Sheet 34 1: Calculate : Calculate (9 x 3) (7 2) 2: Write 88 as a product of prime factors 12: The coordinate (-3, 5) is reflected in the line y = x. Give the coordinate of the image point. 3: Work out the average speed over the whole journey. 13: Calculate the range of scores C4: Increase 230 kg by 115% 14: Solve the equation 5(½m 4) = 14 5: Calculate the size of angle a 15: Leah, Mikhail and Naureen share money in the ratio 3:5:7. If Naureen gets 210, work out how much the others get. 6: Simplify 10p x p x p x p 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 3 seconds, it goes 2 metres. Work out how long it takes to travel 15 metres. 7: In a bag there are red, blue and green counters. Stefan reaches into the bag 30 times, takes a counter, notes its colour and replaces it. 6 of the counters he takes out are red. If Stefan were to conduct the experiment 100 times, how many times would he expect to get a red counter. 8: A rectangle has a perimeter of 12 cm. Work out the sum of its length and width. 9: The point (5, k) lies on the line x + 2y = 10. Find the value of y. 17: Draw the front elevation of this shape: 18: Write down the nth term of this sequence -4, -1, 2, 5, 19: Predict the weight of a child that is 114 cm tall. 10: Estimate the value of Mark: : 8 x Effort:

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22 Homework Sheet 35 1: Calculate : 7 people each weigh 82.6 kg. Work out their total weight. 2: Calculate : The point (-3, 0) is translated to the origin. Give the vector of the translation. 3: Petra is going out for dinner at 18:15. She estimates it will take her 1 hour and 30 minutes to complete her homework before she leaves. What is the latest time Petra can begin her homework? C13: Find the total score for all 20 people: C4: Decrease 96 mph by 76% 14: Solve the equation 5x 3 = 2x + 3 5: Using a from sheet 34, write down the value of b 15: Leah, Mikhail and Naureen share money in the ratio 3:5:7. Leah gets 210 less than Mikhail, work out how much Naureen gets. 6: Simplify 10p + p + p + p 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 3 seconds, it goes 2 metres. Work out how far it travels in an hour. Give your answer in kilometres. 7: In a bag there are red, blue and green counters. Stefan reaches into the bag 30 times, takes a counter, notes its colour and replaces it. 6 of the counters he takes out are red. Estimate the probability of getting green or blue. 17: Draw the side elevation of this shape 8: The value of the area of a rectangle is 5 times as long as its width. Write down the length of the rectangle. 18: Work out the missing terms in this linear sequence 8,.,., 29,., 43 9: Find the equation of the line 19: If 20 people chose either salt and vinegar or cheese and onion, work out the number of people that chose salt and vinegar. 10: Round to two decimal places. 20: 7 x 6 Mark: Effort:

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24 Homework Sheet 36 1: Calculate : Calculate x : Calculate -8 x : The point (0, 4) is rotated 90 o clockwise to the point (2, 0). Give the centre of rotation. 3: Use this graph to convert 2 metres to feet. C13: Find the mean score for the 20 people C4: Convert 118% to a fraction in its simplest form. 14: Solve the equation 8x- 2 = 10 2x 5: Calculate the value of c. 15: Leah, Mikhail and Naureen share money in the ratio 3:5:7. If Leah gets 210 less than Naureen, work out how much Mikhail gets. 6: Expand and simplify 3(t + 4) + 2(7 t) 16: For an object travelling at a fixed speed, the distance it travels is proportional to the time taken. When the object travels for 3 seconds, it goes 2 metres. Work out how long it takes to complete a lap of a 400 metre track. 7: In a bag there are red, blue and green counters. Stefan reaches into the bag 30 times, takes a counter, notes its colour and replaces it. 6 of the counters he takes out are red. Stefan says that there must be less red counters than blue or green. Is Stefan right? Explain your answer. 17: Draw the plan of this shape 8: A square has a numerical value of its area that is equal to its length. Work out the area of the rectangle. 9: The triangle ABC is created using lines with equations y = -½x - ½, y = ¾x + 5¾ and which line? 18: Write down the next two terms of this sequence 1, 1, 2, 3, 5, 8, 13,. 19: Explain why the scatter graph is not useful for estimation 10: Estimate the value of Mark: : 12 x Effort:

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26 Sheet Mark Question Homework 25 Homework 26 Homework 27 Homework 28 Homework 29 Homework 30 Homework 31 Homework 32 Homework 33 Homework 34 Homework 35 Homework 36 1 Numeracy 2 Integers 3 Graphs and travel 4 Percentages 5 Angles 6 Expressions and Formulae 7 Probability 8 Perimeter and Area 9 Coordinates and Straight line graphs 10 Rounding and Estimation 11 Decimal Calculations and BIDMAS 12 Transformations 13 Averages and Stem and Leaf 14 Solving equations 15 Ratio 16 Proportion 17 Plans and Elevations 18 Sequences 19 Pie Charts and Scatter graphs 20 Times tables Homework 25 Target Homework 26 Target Homework 27 Target Homework 28 Target Homework 29 Target Homework 30 Target Homework 31 Target Homework 32 Target Homework 33 Target Homework 34 Target Homework 35 Target Homework 36 Target