Welcome to your EMANUEL SCHOOL 13+ Paper 1 1. Work out the following(a) 42 x 13 545 564 546 547 544 1. Work out the following(b) 56.23 + 87.1497 142.3797 143.4343 143.379 143.3797 143.3737 1. Work out the following(c) 8.4 - 2.481 5.929 5.949 5.909 5.919 5.939 1. Work out the following(d) 0.24 ÷ 0.08 3 \[\frac{3}{2}\] \[\frac{2}{3}\] 5 4 2. Calculate:a) \[\frac{1}{5}\] + \[\frac{3}{4}\] \[\frac{19}{20}\] \[\frac{17}{20}\] \[\frac{16}{20}\] 1 \[\frac{18}{20}\] 2. Calculate:(b) 1 \[\frac{2}{3}\] - \[\frac{3}{7}\] 1.33 1.22 1.26 1.24 1.23 2. Calculate:(c) \[\frac{3}{7}\] x \[\frac{28}{33}\] \[\frac{6}{11}\] \[\frac{5}{11}\] both b &c \[\frac{3}{11}\] \[\frac{4}{11}\] 3. Find the size of the angles marked with a letter: a= \[70^{o}\] \[50^{o}\] \[60^{o}\] \[110^{o}\] None of the above 3. Find the size of the angles marked with a letter: b= \[110^{o}\] \[60^{o}\] \[70^{o}\] \[50^{o}\] \[80^{o}\] 3. Find the size of the angles marked with a letter: c = \[80^{o}\] \[50^{o}\] \[60^{o}\] \[110^{o}\] 3. Find the size of the angles marked with a letter: d = \[60^{o}\] \[45^{o}\] \[50^{o}\] \[80^{o}\] \[70^{o}\] 3. Find the size of the angles marked with a letter: e = \[70^{o}\] \[80^{o}\] \[120^{o}\] \[60^{o}\] \[110^{o}\] 4. Find \[\frac{2}{5}\] of 45 17 18 16 19 20 5. If S = a(b + c), find S when a = 3, b = 4, c = 5 27 29 20 28 26 6. Find the mean of 45, 23, 89, 12, 33 40.5 20.5 40.1 40.4 20.4 7. Complete the table below showing your working clearly underneath. Write thefractions in their lowest terms. 8. Find the area of the shape below 47 48 60 46 49 9. Find the value of (a) \[2^{3}\] 8 6 None of the above 4 3 9.(b) Find the value of 5.3 x \[10^{2}\] 53 530 5300 0.53 0.053 10. Write as a single expression in index form (a) \[2^{2}\] x \[2^{4}\] 64 32 23 48 68 10.Write as a single expression in index form (b) \[\frac{4^{6}}{4^{4}}\] 16 38 32 24 34 11. A number is chosen at random from the first 12 positive numbers. What is the probability that it is a prime number? \[\frac{5}{12}\] \[\frac{4}{12}\] \[\frac{3}{12}\] \[\frac{6}{12}\] \[\frac{7}{12}\] 12. Round each number to the accuracy given in brackets a) 24.79 (2.s.f.) 25.49 24.8 24.79 25 25.7 12. Round each number to the accuracy given in brackets b) 23.55 (1.d.p.) 23.65 23 23.5 23.6 23.555 12. Round each number to the accuracy given in brackets c) 399 (1.s.f) 3.99 39.9 400 398 40.1 13. In a class of 30 pupils, 60% have school dinners and the rest have a packed lunch. How many pupils: a) have a school dinner. 18 None of the above 20 17 16 13. In a class of 30 pupils, 60% have school dinners and the rest have a packed lunch. How many pupils: b) have a packed lunch 8 12 15 20 13 14. Simplify a) 5y × 3y 15xy 15y 5y \[15y^{2}\] 3y 14. Simplify b) 7(2x - 3) \[3^{5}\] \[3^{2}\] 5 \[3^{4}\] \[4^{2}\] 14. Simplify c) 5 –(x + 3) \[4^{5}\] \[5^{3}\] \[3^{5}\] \[-5^{3}\] 14. Simplify d) 2x + 4(x + 3) – 2 \[5^{3}\] \[4^{3}\] \[8^{3}\] \[-5^{3}\] None of the above 15. Calculate the area of each shape (a) 54 50 58 53 56 15. Calculate the area of each shape (b) 60 120 30 90 15 16. Write down the next two numbers in each pattern: (a) 10.5, 8, 5.5, 3 , 0.4 and 2 0.5 and -2 0.5 and 3 0.5 and 2 0.5 and -3 16. Write down the next two numbers in each pattern: (b) 14, 11, 7, 2, -4 and -11 None of them -4 and -12 -4 and -10 All of the above 16. Write down the next two numbers in each pattern: (c) -17.5, -13, - 8.5, - 4 0.5 and 4 0.5 and 6 0.6 and 5 0.5 and 5 0.4 and 5 16. Write down the next two numbers in each pattern: (d) -17, -12, - 8, –5 -3 and 3 -3 and -1 -3 and -2 -3 and 0 None of the above 17. Divide £24 into the ratio 3 : 5 11 and 18 10 and 17 12 and 19 9 and 15 8 and 16 18. In class 7B, \[\frac{3}{4}\] of the pupils support United, \[\frac{2}{9}\] of the pupils support City and the rest support Rovers. There are 36 pupils in class 7B. (a) How many pupils support United? 42 27 48 35 24 18. In class 7B, \[\frac{3}{4}\] of the pupils support United, \[\frac{2}{9}\] of the pupils support City and the rest support Rovers. There are 36 pupils in class 7B. (b) How many pupils support Rovers? 1 5 2 4 3 19. Find the size of the marked angles. \[70^{o}\] \[70^{o}\] \[75^{o}\] \[30^{o}\] 19. Find the size of the marked angles.y = \[75^{o}\] \[80^{o}\] \[110^{o}\] \[65^{o}\] \[70^{o}\] 20. A letter is chosen from the word T R A N S L A T I O N Find the probability that the letter is: (a) an S \[\frac{1}{12}\] \[\frac{2}{11}\] \[\frac{3}{11}\] \[\frac{4}{11}\] \[\frac{1}{11}\] 20 . A letter is chosen from the word T R A N S L A T I O N (b) Find the probability that the letter is: not a T \[\frac{3}{11}\] \[\frac{8}{11}\] \[\frac{6}{11}\] \[\frac{9}{11}\] \[\frac{2}{11}\] 20 . A letter is chosen from the word T R A N S L A T I O N (c) Find the probability that the letter is: a vowel \[\frac{6}{11}\] \[\frac{4}{11}\] \[\frac{2}{11}\] \[\frac{7}{11}\] \[\frac{9}{11}\] 21. The graph below converts between pounds (£) and Japanese yen i) Use the graph to convert £10 to yen. %BLANK% 2000 1800 2500 1000 1500 21.(b) The graph below converts between pounds (£) and Japanese yen Convert 450 yen to pounds. 2.8 2.2 2.3 2.1 2.4 22. Solve the following equations a) 2x + 4 = 10 4 6 3 2 5 22. Solve the following equations (b) 18 – 5x = 3 7 9 8 5 3 22. Solve the following equations (c) x + 3 = 2x - 4 2 7 5 3 8 22. Solve the following equations (d) 5(x - 3) = 15 6 4 2 8 10 23. The perimeter of the square and the rectangle are the same. Work out the length of a side of the square. Square side =%BLANK% 4 3 8 6 5 24. (a) Given that G = 8h + y Find G if (i) h = 6 and y = -2 G =%BLANK% 46 42 50 48 44 24. (a) Given that G = 8h + y Find G if (ii) h = -12 and y = -4 -110 -80 -120 -90 -100 24. (b) Given that x = \[\frac{(a - z)^{2}}{t}\] Find x if (i) a = 16 z = 4 t = 12 14 15 16 12 13 24. (b) Given that x = \[\frac{(a - z)^{2}}{t}\] (ii) a = -8 z = -2 t = -9 -1 -6 -2 -3 -4 25. If the scale on a map is 1 : 25 000, what is the actual distance in km if the distance on the map is 5cm . 124000 12050 1250 125000 12500 26. Complete the tables below for the given equations: a) y = 2x + 1 26. Complete the tables below for the given equations: b) x + y = 4 c) Use your tables to draw the lines y = 2x + 1 and x + y = 4 on the grid below. Label each line. Time is Up! Time's up
