Stratford upon Avon School Mathematics Homework Booklet

Transcription

1 Stratford upon Avon School Mathematics Homework Booklet Year: 7 Scheme: 1 Term: 1 Name:

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3 Homework Sheet 1 1: Write 7:43 pm using the 24 hour clock 11: Find the area of this shape. 2: Find the next two terms of the sequence 2, 5, 8,.,. 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate x 7 13: Calculate 3-8 4: Calculate : Find the lowest common multiple of 4 and 6 5: Calculate 17 x 4 15: Find the highest common factor of 4 and 6 6: Write down the first 5 multiples of 4. 16: Simplify 3 a 7: Write down all of the factors of : The formula for hiring a bike is C = 5 + 2h where C is the cost in s and h is the number of hours hired. Work out the cost of hiring a bike for 4 hours. 8: Write an expression that is 3 more than a. 18: Find the area of a rectangle with a length of 7 cm and a width of 4 cm. 9: Simplify a + a + a + a 19: Find the perimeter of a rectangle with a length of 7 cm and a width of 4 cm. 10: Find the value of 3a when a = 4 20: Calculate 3 x 5 Mark: Effort:

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5 Homework Sheet 2 1: Write 7304 in words 11: Find the area of this shape. 2: A sequence has 1 st term of 4 and a rule of add 3, write down the first 4 terms of the sequence. 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate 17-3 x 3 13: Calculate 5-9 4: Calculate : Find the lowest common multiple of 6 and 9 5: Calculate 15 x 3 15: Find the highest common factor of 6 and 9 6: Work out the 7 th multiple of : Simplify b 7 7: Write down a factor of 40 larger 5. 17: The monthly charge for a mobile phone is C = 5m where C is the charge in pence and m is the number of minutes spent on the phone. Work out the monthly charge in a month where 300 minutes are spend on calls. 8: Write an expression that is 4 less than b 18: Find the area of a parallelogram with a base of 10 cm and a height of 4 cm. 9: Simplify 2b + 5b + 3b 19: Find the perimeter of a parallelogram with a base of 10 cm and a slant height of 4 cm. 10: Find the value of 10b when b = 9 20: Calculate 4 x 6 Mark: Effort:

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7 Homework Sheet 3 1: Fill in the box to complete the calculation. 8 + = 20 11: Find the area of this shape. 2: Draw the next pattern 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate (3 + 2) x 5 13: Calculate : Calculate : Find the lowest common multiple of 8 and 10 5: Calculate 3 x 21 15: Find the highest common factor of 8 and 10 6: Find the 9 th multiple of 6. 16: Simplify c 12 7: Write down all of the factors of 27 17: A rough formula to convert temperature measured in Fahrenheit to Celsius is F = 2C Find the temperature in Fahrenheit on a day where the temperature in Celsius is 25 o C 8: Write an expression that is 2 lots of c 18: Find the area of a triangle with a base of 6 cm and a height of 6 cm 9: Simplify c + 4c - 3c 19: Find the perimeter of an equilateral triangle with sides of 6 cm. 10: Find the value of c + 4 when c = 2 20: Calculate 2 x 9 Mark: Effort:

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9 Homework Sheet 4 1: Fill in the missing value 1, 3, 5,.., 9 11: Find the area of this shape. 2: Write down a term to term rule for the sequence. 4. 7, 13, 25, 49, 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate 9 x (7-4) 13: Calculate 7-9 4: Calculate : Find the lowest common multiple of 8 and 12 5: Calculate : Find the highest common factor 8 and 12 6: Write down the first 4 multiples of 8 16: Simplify d d 7: Write down 2 factors of 12 with a difference of 4 17: John is paid using the formula P = 6.5h + 10, where P is his pay in and h is the hours worked. Find John s pay when he works for 6 hours in a day. 8: Write an expression that is half of d 18: Find the area of a rectangle with a base of 8 metres and a height of 2.5 m 9: Simplify d d : Find the perimeter of a rectangle with a base of 8 metres and a height of 2.5 m 10: Find the value of 10 - d when d = 12 20: Calculate 4 x 11 Mark: Effort:

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11 Homework Sheet 5 1: I buy 3 chocolate bars in a shop. They cost 37p, 49p and 65p. Work out how much I pay. 11: Find the area of this shape. 2: Write down the name of this sequence 1, 3, 5, 7, 9, 11,.. 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate : Calculate : Calculate : Find the lowest common multiple of 10 and 15 5: Calculate 7 x 19 15: Find the highest common factor of 10 and 15 6: Write down the first 4 multiples of 11 16: Simplify e f 7: Write down all the factors of 30 17: A window cleaner charges based on the formula C = w where C is the charge in and w is the number of windows cleaned. Calculate the charge to clean a house with 10 windows. 8: Write an expression that is e more than f 18: Find the area of a parallelogram with a base of 9 cm and a height of 3.5 cm 9: Simplify 3e + 2f + 5e + 4f 19: Find the perimeter of a parallelogram with a base of 9 cm and a slant height of 3.5 cm 10: Find the value of e + f when e = 6 and f = 4 20: Calculate 5 x 12 Mark: Effort:

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13 Homework Sheet 6 1: Multiply 75 by 10 11: Find the area of this shape. 2: Fill in the missing terms in this sequence 4, 9,, 19,,, 34 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate 8 2 x 5 13: Calculate : Calculate : Find the lowest common multiple of 9 and 12 5: Calculate 23 x 6 15: Find the highest common factor of 9 and 12 6: Find the 9 th multiple of 14 16: Simplify 5 c d 7: Find three factors of 56 that add to more than : A taxi driver charges according to the formula C = m, where C is the cost of the journey and m is the number of miles travelled. Calculate the cost of journey of 20 miles. 8: Write an expression that is g less than h 18: Find the area of a triangle with a base of 12 cm and a height of 1.5 cm. 9: Simplify g + 7h + 4g - 2h 19: Find the perimeter of an triangle with a base of 12 cm and two sided of 9cm. 10: Find the value of g - h when g = 9 and h = 3 20: Calculate 3 x 8 Mark: Effort:

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15 Homework Sheet 7 1: In the number 6893 which column is the 9 in? 11: Find the area of this shape. 2: Find the next two terms of this sequence 6, 10, 14, 18,, 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate 10 x : Calculate : Calculate : Find the lowest common multiple of 10 and 12 5: Calculate : Find the highest common factor of 10 and 12 6: Write down the first 4 multiples of 14 16: Simplify 4 j j 7: Write down all the factors of 32 17: The perimeter of a square is given by the formula P = 4s where P is the perimeter and s is the length of a side. Find the perimeter of a square with side lengths of 8 cm. 8: Write an expression that is a fifth of j 18: Find the height of a rectangle with a base of 8 cm and an area of 32 cm 2 9: Simplify 8j + 2-3j + 8-5j 19: Find the height of a rectangle with a base of 8 cm and an perimeter of 32 cm 10: Find the value of 3j - 9 when j = 5 20: Calculate 4 x 7 Mark: Effort:

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17 Homework Sheet 8 1: Write the number two thousand, three hundred and sixty in figures. 11: Find the area of this shape. 2: A sequence has first term 1 and term to term rule x 3-1. Write down the first four terms of the sequence. 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate : Calculate : Calculate : Find the lowest common multiple of 9 and 15 5: Calculate 29 x 3 15: Write 42 as a product of prime factors. 6: Write down the 12 th multiple of 3 16: Simplify k 8 k 7: Write down an odd factor of : The volume of a cuboid is given by V = w h d where V is the volume of the cuboid, w is the width of the cuboid, h is the height and d is the depth. Find the volume of a 3 cm by 4 cm by 5 cm cuboid. 8: Write an expression that is k times itself 18: Find the base of a parallelogram with a height of 7 cm and an area of 63 cm 2 9: Simplify 9k + 9-3k k : Find the base of a parallelogram with a slant height of 7 cm and a perimeter of 63 cm 10: Find the value of 5k - 8 when k = 5 20: Calculate 2 x 12 Mark: Effort:

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19 Homework Sheet 9 1: Double : Find the area of this shape. 2: Draw the next pattern 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate ( ) 2 13: Calculate : Calculate : Find the lowest common multiple of 12 and 15 5: Calculate 8 x 24 15: Write 48 as a product of prime factors 6: Find the 5 th multiple of 15 16: Simplify 3 m 4 n 7: Write down all of the factors of 45 17: The perimeter of a rectangle is given by P = 2l + 2w where P is the perimeter of the rectangle, l is the length of the rectangle and w is the width. Find the perimeter of a rectangle with a length of 7 cm and a width of 5 cm. 8: Write an expression that is m lots of n 18: Find the height of a triangle with a base of 4 cm and an area of 32 cm 2 9: Simplify m + 2n + 3m + 4n - 2m + 5n 19: Find the length of the third side of a triangle with a base of 4 cm, a side of 9 and a perimeter of 21cm 10: Find the value of 3m - 2n when m = 4 and n = 6 20: Calculate 5 x 9 Mark: Effort:

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21 Homework Sheet 10 1: Work out : Find the area of this shape. 2: Write down the term to term rule for the sequence 12, 5, -2, -9, 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate 30 (3 + 2) 13: Calculate : Calculate : Find the lowest common multiple of 12 and 18 5: Calculate 4 x 34 15: Write 54 as a product of prime factors 6: Write down the first 4 multiples of 13 16: Simplify 9 p 2 q 7: Find two factors of 35 that differ by 6 17: The force applied to an object is given by the formula F = m a where F is the force, m is the mass of the object and a is the acceleration of the object. Find the value of the force applied to an object of 4kg that accelerates by 3ms -2 8: Write an expression that is p shared between q. 18: Find the area of a rectangle with a base of 10 cm and a height of 1 metre. 9: Simplify p + 3q -5-2p + 9q : Find the perimeter of a rectangle with a base of 10 cm and a height of 1 metre. 10: Find the value of 8p + 5q when p = 2 and q = -3 20: Calculate 3 x 7 Mark: Effort:

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23 Homework Sheet 11 1: Square 4. 11: Find the area of this shape. 2: Write down the name of this sequence: 1, 4, 9, 16, 25, 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate 9 x : Calculate : Calculate : Find the lowest common multiple of 10 and 18 5: Calculate 6 x 19 15: Write 56 as a product of prime factors 6: Write down the first 4 multiples of 21 16: Simplify r s r 7: Write down all of the factors of 42 17: The perimeter of a triangle is given by the formula P = a + b + c, where P is the perimeter of the triangle, and a, b and c are the lengths of the three sides. Find the perimeter of a triangle where a = 3, b = 4 and c = 5. 8: Write a formula that shows r is the same as 3 more that s 18: Find the area of a parallelogram with a base of 15 cm and a height of 1.5 metres 9: Simplify 5r 2 + 3r - 2r r 19: Find the perimeter of a parallelogram with a base of 15 cm and a slant height of 1.5 metres 10: Find the value of r - s when r = s = 1 20: Calculate 2 x 6 Mark: Effort:

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25 Homework Sheet 12 1: Convert 450 cm to metres. 11: Find the area of this shape. 2: Fill in the missing terms of this sequence, 3, 6,..,, 15 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate 6-2 x 3 13: Calculate : Calculate : Find the lowest common multiple of 15 and 18 5: Calculate : Write 60 as a product of prime factors 6: Write down the 9 th multiple of 6 16: Simplify t u t u 7: Write down the largest factor of 48 less than : The energy a moving object has is given by E = m v 2 2, where E is the object s energy, m is the object s mass, and v is the object s speed. Find the value of the energy an object of mass 3kg which travels at a speed of 12 ms -1 8: Write down a formulae that shows T is the same as 8 18: Find the area of a triangle with a base of 2 metres lots of u and a height of 45 cm. 9: Simplify 8u 2 + 3t - 5-3u 19: Find the perimeter of a triangle with a base of 2 metres, one side of 45 cm and one side of 1.8 metres. 10: Find the value of u 2 + t when u = 5 and t = 7 20: Calculate 3 x 3 Mark: Effort:

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27 Homework Sheet 13 1: Add 28 and 29 11: Find the area of this shape. 2: A sequence is described by the function machine -2 x 2 Write down the first 4 terms of the sequence. 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate : Calculate : Calculate : Find the lowest common multiple of 18 and 20 5: Calculate 18 x 8 15: Write 64 as a product of prime factors. 6: Find the 9 th multiple of 8 16: Simplify v w x 7: Write down all of the factors of 36 17: A plumber s fee for emergency call out is F = h where h is the number of hours spent on the call out and F is the fee. Work out the fee for a call out that lasts one and a half hours. 8: Write down a formula that shows V is the sum of w and x 18: A rectangle has the same area as a square of length 6cm. If the rectangle has a base of 4 cm, what is its height? 9: Simplify 6v + 3w + 9x + 8w - 8v - 8x 19: A rectangle has the same perimeter as a square of length 6cm. If the rectangle has a base of 4 cm, what is its height? 10: Find the value of 4x - vw when x = 8, v = 3 and w = 6 20: Calculate 4 x 8 Mark: Effort:

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29 Homework Sheet 14 1: Divide 1479 by : Find the area of this shape. 2: Find the missing terms of this arithmetic sequence, 4,.,., 25,, 39 12: Find the perimeter of the shape if each diagonal is 1.5 cm. 3: Calculate x : Calculate : Calculate : Find the lowest common multiple of 15 and 20 5: Calculate : Write 72 as a product of prime factors 6: Write down the first 4 multiples of 16 16: Simplify y 2 z y 7: Write down a factor of 20 that is also a factor of 35 17: Tickets for a school concert are charged using the formula C = 5a + 3c where C is the cost in, a is the number of adult tickets, and c is the number of child tickets. Work out the cost for a family of 2 adults and 3 children to go to the concert. 8: Write down a formula that shows that Y is the same as the square of z. 18: A parallelogram and triangle have the same base and area. If the parallelogram has a height of 12 cm, what is the height of the triangle? 9: Simplify 5y 2-4z (5y 2-4z + 9) 19: A square has the same numerical value of its area and its perimeter. What is the length of one side of the square? 10: Find the value of 2y - z 2 when y = 7 and z = 4 20: Calculate 4 x 4 Mark: Effort:

30 Sheet Mark Question Topic 1 Numeracy 2 Number Patterns 3 Order of Operations 4 Powers 5 Integers 6 Multiples 7 Factors & Primes 8 Expressions & Formulae 9 Simplifying 10 Substituting 11 Area 12 Perimeter 13 Integers 14 Multiples 15 Factors and Primes 16 Simplifying 17 Substituting 18 Area 19 Perimeter 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 A circle around the score indicates that it was handed in late.