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Non Calculator Tests

Non Calculator Tests. Second Year. Non Calculator – Test 1. List all the factors of 24 and 30. Find the highest common factor. 2. Solve the equation 5x – 6 = 14. 3. Find 4% of £60. 4. Find ¾ of 36 5. Simplify the expression 5(2x-1) + 3(x+6)

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Non Calculator Tests

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  1. Non Calculator Tests Second Year

  2. Non Calculator – Test 1 • List all the factors of 24 and 30. • Find the highest common factor. • 2. Solve the equation 5x – 6 = 14. • 3. Find 4% of £60. • 4. Find ¾ of 36 • 5. Simplify the expression 5(2x-1) + 3(x+6) • 6. From the set of numbers {-2,-1,0,1,2,3,4}. • Choose the numbers which satisfy 2x > 1 • 7. Write down all the multiples of 11 between 80 and 120. • 8. List all the factors of 80. • 9. If x = 4 find the value of 2x2. • 10. What is the size of the angle between the hands of a clock at 4pm ? • Find the mean of the numbers • 5,6,6,7,7,7,8,8,9,9 • 12. Place these numbers in order of size smallest first. • 80 , -45 , -54 , -2.5 , -1.8 , 2.5

  3. 400 6 x + 10 Non Calculator – Test 2 1. List all the factors of 36. 2. The square shown has an area of 400cm2. Find the perimeter of the square. 3. Find 17½% of £200. 4. Simplify the expression x(2x+7) + 2x(x-4) 5. Write down all the prime numbers between 50 and 70. 6. Solve the inequation -4x 12 7. The perimeter of the rectangle shown is 84 cm. Make an equation and find x. 8. Find the value of 43 – 34 9. Round of the number 34.782467 to a) 1 decimal place b) 4 significant figures 10. If x = 4 find the value of

  4. 12cm 5cm 13cm Non Calculator – Test 3 • 1. Write 84% as a fraction in its simplest form. • 2. Express 245000cm3 in litres. • 3. A ship leaves a port and sails west. • What is the three-figure bearing of the ship from the port? • 4. Simplify the expression 4x(x-2) + 2x(x+4) • What is the median of the numbers • 5,8,4,4,3,1,9,6,7 • 6. Solve the equation 5x – 6 = 2x + 16 • Calculate the area of the triangle shown. • 8. Which of these numbers is a prime number • 51, 71, 91 • 9. Evaluate -5 – (-6) + (-2) • 10. If y = 4, find the value of 15 – y2

  5. Non Calculator – Test 4 • 1. What is the highest common factor of 12 and 18 ? • 2. Solve the equation x + (-7) = 5. • 3. Write 0.8 as a fraction in its simplest form. • 4. Write down the multiples of 12 between 50 and 100. • 5. Solve the inequation 2x – 7 > 5 • 6. The perimeter of a square is 6cm. Find the area of the square. • 7. Evaluate 4.7 – 7.4 + 5.8 • 8. How many Mars Bars costing 16p each can you buy for £1 ? • Evaluate -11 – ( -13) • 10. Find of 120 • 11. Find the mode of the numbers 4,7,5,6,3,4,2,4,9,8,4,4 • 12. Evaluate 5¼ - 1¾

  6. 100 4 x + 6 Non Calculator – Test 5 • 1. List all the factors of 50. • 2. The square shown has an area of 100cm2. • Find the area of the square whose side is twice the length of the side • of the square shown. • 3. A teacher earns £18000 pa. • If he receives a 2% pay rise find his new annual salary. • 4. Solve the equation 17x = 12x + 50 • 5. List the first three (non zero) common multiples of 5 and 6. • 6. Evaluate -20 – (-45) • 7. The perimeter of the rectangle shown is 50 cm. • Make an equation and find x. • 8. An equilateral triangle has a perimeter of 135cm. • Find the length of the side of the triangle. • Round of the number 26748 to • a) 2 significant figures b) 4 significant figures • 10. If x = 3 find the value of 2x3

  7. 96º x x Non Calculator – Test 6 • Write as a percentage. • 2. How many cm are there in 25½ meters ? • State the 3 figure bearing of a ship from a port if the • ship is sailing in a north westerly direction. • 4. Evaluate 12 + 8 5 • 5. A television set is on sale in a shop at £420. • A discount of 25% is being offered on the set. • Find the sale price of the set. • Solve the equation • 7. Find the size of angle x • 8. Simplify the expression 5x – 8y + 7x + 9y • 9. Write down a formula for the nth term of the sequence • 4,7,10,13,16,19,22, - - - • 10. Find the value of when x = -2.

  8. x 74º 4x 2x 4x Non Calculator – Test 7 • 1. What is the lowest common multiple of 10 and 8 ? • 2. Solve the equation 2x - (-7) = 9. • 3. Write 0.42 as a fraction in its simplest form. • 4. Evaluate 103 – 202 • 5. A man has £3000 in the bank. The interest rate is 4% per annum. • Find his interest after 1 year. • 6. What is the angle between the hands of a clock at 2pm? • Evaluate 13.8 + 3.2 5 • Find the size of angle x in the rectangle shown. • 9. Which is the largest (-2)2 or (-2)3 • 10. Find the value of x in • the isosceles triangle shown

  9. x 114º 47º Non Calculator – Test 8 • 1. List all the multiples of 9 between 100 and 130. • 2. The perimeter of a rectangle is 120cm. The length is twice the breadth. • Find the length and the breadth and hence find the area of the rectangle. • 3. A teacher earns £24000 per annum. If the teacher is given a • 3% pay rise find the new annual salary. • 4. In the sequence shown find the values of x and y. • 23 , 42 , 61 , x , y , 118 , 137 , - - - • 5. List the factors of 24 and 30. State the highest common factor. • 6. Solve the inequation 6 – x < 4 • Find the size of angle x in the diagram shown. • 8. Find the value of 2.52 • 9. If 10% of a sum of money is £3768, find the sum of money. • 10. Round off the number 34895 to 1 significant figure.

  10. Non Calculator – Test 9 • Write down the general term of the sequence • 8 , 11 , 14 , 17 , 20 , - - - - • Hence find the 45th term. • 2. Evaluate 40 – 64 + 25 • 3. A discount of 20% is given in a sale on a computer costing £600. • Find the sale price of the computer. • 4. Solve the equation 6(x + 4) = 5x + 30 • List the prime numbers between 40 and 60. • Find • 7. Find the value of 25 – 33 • Calculate the mean of the numbers • 14 , 15 , 12 , 18 , 21 • Round of the number 3.14258 to • a) 2 decimal places b) nearest whole number • 10. In a triangle the angles are x , x + 40 and 72º respectively. • Make an equation and find x.

  11. Non Calculator – Test 10 • 1. Write the number 40 as a product of prime factors. • 2. There are estimated to be 24000 rabbits on an island. • Numbers are expected to rise by 2% next year. • How many rabbits will there be next year. • 3. Simplify the expression 5 + 3(2x-1) + 2(x-5) • 4. Find the mode of the numbers • 3,6,5,8,4,5,8,7,5,3,5,6,5,3,4 • 5. List the factors of 100. • Solve the inequation 2(x-3) > 1 • If 5 bottles of wine cost £28 what would 4 bottles cost? • 8. If x = 10 find the value of 100 – 4x2 • 9. A ship leaves a port and sails in a south westerly direction. • What is the three-figure bearing of the ship from the port? • 10. Write 56% as a fraction in its simplest form.

  12. Non Calculator – Test 11 • 1. Write 36% as a fraction in its simplest form. • 2. Express 2.65 litres in cubic centimeters. • 3. Solve the equation 4x – 7 = x + 8 • 4. Find the value of 3y – 4x , if y = 13 and x = 15 • 5. Find 5% of £800. • Write down the multiples of 8 that lie between 90 and 110. • 7. I buy a watch for £500 and sell it a week later for £400. • Find the percentage loss. • 8. Which of these numbers is a prime number • 38 , 58 , 31 • Evaluate 9 × ( -2 )2 • 10. A square has an area of 64cm2. • Find the perimeter of the square.

  13. 5cm x 12cm 8cm 7cm 24cm Non Calculator – Test 12 • 1. Place in order of size smallest first 40% ; 0.42 ; • Calculate the area of the triangle shown • 3. A ship leaves a port and sails 50 miles North. • It then turns and sails 50 miles East. • What is the bearing of the ship from the port? • 4. Evaluate 6.5 – 14 + 8.5 • 5. If 4 books cost £13 ,what would 5 books cost? • 6. Solve the equation 5.6x = 2.6x + 18 • 7. Which numbers from the set {-1,0,1,2,3,4,5,6} • satisfy the inequation 4x-2 <5 • 8. Simplify the expression 12t – 7u – 11t + 8u • The shapes shown • have the same area. • Find the value of x • 10. Find the value of when x = 4.

  14. 900cm2 Non Calculator – Test 13 1. Evaluate -4 (-5) 2 2. If x = -2 find the value of 3x2 3. Simplify the expression 4(2x-1) + 3(1-2x) 4. Write down all the factors of 64. 5. The perimeter of a rectangle is 40cm. If the length is 3 times the breadth find the dimensions of the rectangle. 6. The area of the square shown is 900cm2. Find the perimeter of the square. 7. The angles in a triangle are 44º, x and x + 56º. Make an equation and find x. 8. Find 3% of £67 9. Evaluate ½ of (14¼ - 9¾) 10. Solve the equation 4x – 7 = x + 11

  15. Non Calculator – Test 14 • Write as a percentage. • 2. How many cm3 are there in 8½ liters? • 3. Determine the mean of the numbers • 8 , 5 , 8 , 7 , 4 , 9 , 3 , 5 , 5 , 5 , • 4. Evaluate 32 - 12 5 • 5. A nurse earns £15000 per annum. • If she is given a 6% pay rise, find her new annual salary. • 6. Solve the equation 12x = 5x + 63 • 7. Simplify the expression 12p – 5q + 10p – 3q • 8. If x = -3, find the value of 10 – 4x • 9. Write down a formula for the nth term of the sequence • 12 , 14 , 16 , 18 , 20 , - - - - • 10. If 12 bottles of wine cost £156, what • would 9 bottles of the same wine cost?

  16. 4 x + 7 Non Calculator – Test 15 • 1. What is the highest common factor of the numbers 20 and 30? • A car costs £16000. In a sale it is reduced by 20%. • Find the sale price of the car. • Solve the equation 5.4x = 2.x + 27 • 4. Simplify the expression 5x(x+4) + 2x(10-x) • 5. Write down all the prime numbers between 90 and 110. • 6. Solve the inequation -2x + 5 11 • 7. The area of the rectangle shown is 48 cm2. • Make an equation and find x. • 8. Find the value of 53 – 43 • 9. Round of the number 56.5793346 to • a) 2 decimal place b) 6 significant figures • 10. If x = -2 , find the value of

  17. Non Calculator – Test 16 • 1. Write the number 60 as a product of prime factors. • 2. What is the 3-figure bearing of a ship from a port • if the ship is sailing south from the port? • 3. Simplify the expression 12x – 5y + 4(2x+3y) • 4. Find the mode of the numbers • 5,6,3,5,4,6,7,5,8,7,3,5,6,7 • Find of 450 • 6. If x = -3 and y = -6, find the value of 12 –xy • 7. The house shown has gone up in value from £200,000 to £250,000 • Calculate the % increase in the value of the house. • 8. Solve the equation 5(2x-3) = 3(2x+1) • 9. What is the lowest common multiple of 12 and 8? • 10. Evaluate 12.6 – 15.8 + 4.4

  18. x 37º Non Calculator – Test 17 • 1. Find the value of (-4)2 × 5 • 2. A ship sails 65 miles east then • turns and sails 65 miles south. • What is the 3 figure bearing of the ship from the port? • Write as a percentage. • 4. Find the median of the numbers • 4,7,5,6,9,3,4,5,7,6,8 • Find of 380 • 6. Solve the equation 10x = 18 + x • Find the size of angle x in the rectangle shown. • 8. Which numbers from { -4,-3,-2,-1,0,1,2,3} • satisfy the inequation • 9. Put these numbers in order of size smallest first • (-4)2 , -16 , (-2)3 , (-3)3 • 10. Simplify the expression -4t + 7m –3t –8m

  19. 24cm 7cm 25cm Non Calculator – Test 18 • 1. Write 24% as a fraction in its simplest form. • 2. Express 2.45 metres in centimeters. • 3. Solve the equation 4x – 7 = 2x + 1 • If 6 books cost £12.90, what • would 5 of the same type of book cost? • 5. What is the highest common factor of the numbers 40 and 50? • 6. Write 0.55 as a fraction in its simplest form. • Calculate the area of the triangle shown. • 8. Which of these numbers is not a prime number • 53 , 63 , 71 • 9. Solve the equation 2x – (-5) = 5 • 10. If t= -2 find the value of 10 – 2t2

  20. Non Calculator – Test 19 • What is the lowest common multiple of the • numbers 12 and 10? • 2. A Doctor earns £32000 per annum. • If he receives a 4% pay rise find his new annual salary. • Write as a percentage. • Write the number 52 as a product of prime factors. • Find of £120 • Solve the inequation 2(x+5) 13 • 7. If 20% of a number is 35, find the number. • 8. Find the value of 203 – 103 • 9. Simplify the expression 5(1-2x) + 6(2x–1) • In an isosceles triangle one of the angles is 44º and a • second angle is x. Find two different possible values for x.

  21. Non Calculator – Test 20 • 1. Evaluate 2.5 + 7.5 × 4 • 2. Express 3250 cm3 in litres. • 3. Solve the equation 5x = 2(2x+7) • Find the value of 2x2 +3x when x = 5 • 5. Evaluate –5 –(-9) + (-2) • 6. Write down all the factors of 56. • 7. I buy a camera for £160 and sell it a month later for £120. • Find the percentage loss. • 8. List all the prime numbers less than 20. • Find the mean of the numbers • 21,22,23,24,25,26,27 • 10. Solve the inequation 12 – x > 15

  22. Non Calculator – Test 21 • 1. List the multiples of 15 between 20 and 70. • 2. If x = 3 find the value of x2 – 2x • List all the factors of 50. • 4. Find the median of the numbers 2,6,4,5,1,7,6,3,6,2 • 5. Simplify x(x – 3) + 3(2 + x) • Find the LCM of 12 and 9. • 7. Write 6.39795 correct to 2 decimal places. • List all the prime numbers between 50 and 60. • 9. Evaluate 122 – 102 • 10. Solve the equation 5x – 3 = 27

  23. Non Calculator – Test 22 • 1. The perimeter of a rectangle is 34cm. • The length is 4 more than the breadth. • Let the breadth be x. Make an equation and find x. • 2. Write 32% as a fraction in its simplest form. • Solve the equation 6x – 3 = 4x + 13 • 4. Evaluate 5 – (-3) – (-2) • 5. If x = 6 calculate the value of 2x2. • Evaluate 20.8 – 23.6 + 2.9 • 7. Find ¼ of ₤9 • Write 0.45 as a fraction in its simplest form. • Evaluate • 10. Find the mode of the numbers 3,7,2,2,4,5,3,5,6,3

  24. 12cm 5cm 13cm Non Calculator – Test 23 1 Simplify 4(2x + 3) + 3(4 – 3x) 2 The perimeter of a square is 48cm. Calculate the area of the square. 3 Solve the equation x + (-9) = -4 4 List the multiples of 12 between 100 and 150. 5 Calculate 25% of ₤84 6 Find the LCM of 7 and 9. 7 Calculate the area of the triangle shown. 8 Round off the number 23904 to 2 significant figures. 9 Write as a percentage. 10 Evaluate 6.9 + 3.1 2

  25. Non Calculator – Test 24 • Write down the next 3 terms in the sequence • 0.8 , 4 , 20 , 100 , - , - , - • 2 A ship leaves port and sails in a SW direction. • What is the 3 figure bearing of the ship from the port? • 3 An isosceles triangle has angles x, x and 4x. • Calculate the size of the largest angle. • 4 Solve the equation 6x – 5 = 37 • Calculate the value of 3.52. • 6 If 25% of a sum of money is ₤67, find the sum of money. • Calculate the mean of the numbers shown. • 11 , 13 , 15 , 15 , 16 • 8 Write the number 50 as a product of prime numbers. • I buy a car for £5000 and sell it a year later for £4000. • Calculate the % loss. • A square has an area of 121cm2. • Calculate the perimeter of the square.

  26. AREA Non Calculator – Test 25 • 1 The square shown has a perimeter of 6cm. • Calculate the area of the square. • 2 A ship leaves port and sails in a SW direction. • What is the 3 figure bearing of the port from the ship? • 3 The perimeter of an equilateral triangle is 29cm. • Calculate the length of a side giving your answer correct to 2 decimal places. • 4 Solve the inequation 4x + 5 > -3 • 5 Evaluate -25 –(-35) • 6 How many cm are there in 6½ km. • 7 The average of 10 numbers is 23.5 What is the sum of the 10 numbers? • Write the number 0.6983 correct to 2 decimal places. • 9 I have just been given a 50% pay rise and I now earn £30000. • How much did I earn before the pay rise? • 10 Simplify 3 + 4(2x-5) + 2(x-2)

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