Welcome to your EMANUEL SCHOOL 13+ Paper 1 1. Work out the following(a) 42 x 135475645465455441. Work out the following(b) 56.23 + 87.1497143.3737143.4343143.3797143.379142.37971. Work out the following(c) 8.4 - 2.4815.9295.9495.9195.9395.9091. Work out the following(d) 0.24 ÷ 0.085\[\frac{3}{2}\]3\[\frac{2}{3}\]42. Calculate:a) \[\frac{1}{5}\] + \[\frac{3}{4}\]1\[\frac{19}{20}\]\[\frac{16}{20}\]\[\frac{17}{20}\]\[\frac{18}{20}\]2. Calculate:(b) 1 \[\frac{2}{3}\] - \[\frac{3}{7}\]1.221.241.331.261.232. Calculate:(c) \[\frac{3}{7}\] x \[\frac{28}{33}\]\[\frac{6}{11}\]\[\frac{4}{11}\]both b &c\[\frac{5}{11}\]\[\frac{3}{11}\]3. Find the size of the angles marked with a letter: a=\[70^{o}\]\[50^{o}\]\[110^{o}\]None of the above\[60^{o}\]3. Find the size of the angles marked with a letter: b=\[110^{o}\]\[60^{o}\]\[50^{o}\]\[80^{o}\]\[70^{o}\]3. Find the size of the angles marked with a letter: c =\[80^{o}\]\[60^{o}\]\[110^{o}\]\[50^{o}\]\[60^{o}\]3. Find the size of the angles marked with a letter: d =\[60^{o}\]\[45^{o}\]\[80^{o}\]\[50^{o}\]\[70^{o}\]3. Find the size of the angles marked with a letter: e =\[60^{o}\]\[70^{o}\]\[120^{o}\]\[110^{o}\]\[80^{o}\]4. Find \[\frac{2}{5}\] of 4518201917165. If S = a(b + c), find S when a = 3, b = 4, c = 527292620286. Find the mean of 45, 23, 89, 12, 3320.440.440.140.520.57. Complete the table below showing your working clearly underneath. Write thefractions in their lowest terms.8. Find the area of the shape below 60464847499. Find the value of (a) \[2^{3}\]4638None of the above9.(b) Find the value of 5.3 x \[10^{2}\]0.053530.53530530010. Write as a single expression in index form (a) \[2^{2}\] x \[2^{4}\]236864324810.Write as a single expression in index form (b) \[\frac{4^{6}}{4^{4}}\]322416383411. A number is chosen at random from the first 12 positive numbers. What is the probability that it is a prime number?\[\frac{3}{12}\]\[\frac{4}{12}\]\[\frac{7}{12}\]\[\frac{5}{12}\]\[\frac{6}{12}\]12. Round each number to the accuracy given in brackets a) 24.79 (2.s.f.)2525.4924.824.7925.712. Round each number to the accuracy given in brackets b) 23.55 (1.d.p.)23.523.6523.623.5552312. Round each number to the accuracy given in brackets c) 399 (1.s.f)39.940.14003.9939813. 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.161817None of the above2013. In a class of 30 pupils, 60% have school dinners and the rest have a packed lunch. How many pupils: b) have a packed lunch15820131214. Simplify a) 5y × 3y3y\[15y^{2}\]15xy15y5y14. Simplify b) 7(2x - 3)\[3^{2}\]\[4^{2}\]\[3^{5}\]5\[3^{4}\]14. Simplify c) 5 –(x + 3)\[-5^{3}\]\[4^{5}\]\[5^{3}\]\[3^{5}\]\[5^{3}\]14. Simplify d) 2x + 4(x + 3) – 2\[-5^{3}\]\[8^{3}\]\[5^{3}\]None of the above\[4^{3}\]15. Calculate the area of each shape (a) 505356545815. Calculate the area of each shape (b) 9015301206016. Write down the next two numbers in each pattern: (a) 10.5, 8, 5.5, 3 ,0.5 and 30.5 and 20.5 and -20.5 and -30.4 and 216. Write down the next two numbers in each pattern: (b) 14, 11, 7, 2,None of them-4 and -12All of the above-4 and -10-4 and -1116. Write down the next two numbers in each pattern: (c) -17.5, -13, - 8.5, - 40.4 and 50.5 and 50.6 and 50.5 and 40.5 and 616. Write down the next two numbers in each pattern: (d) -17, -12, - 8, –5-3 and -1-3 and 0-3 and 3None of the above-3 and -217. Divide £24 into the ratio 3 : 512 and 199 and 158 and 1610 and 1711 and 1818. 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?242748423518. 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?2135419. Find the size of the marked angles. \[75^{o}\]\[70^{o}\]\[70^{o}\]\[30^{o}\]\[70^{o}\]19. Find the size of the marked angles.y = \[110^{o}\]\[75^{o}\]\[80^{o}\]\[65^{o}\]\[70^{o}\]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\[\frac{3}{11}\]\[\frac{2}{11}\]\[\frac{4}{11}\]\[\frac{1}{12}\]\[\frac{1}{11}\]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\[\frac{8}{11}\]\[\frac{6}{11}\]\[\frac{3}{11}\]\[\frac{2}{11}\]\[\frac{9}{11}\]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\[\frac{4}{11}\]\[\frac{9}{11}\]\[\frac{7}{11}\]\[\frac{6}{11}\]\[\frac{2}{11}\]21. The graph below converts between pounds (£) and Japanese yen i) Use the graph to convert £10 to yen. %BLANK%2500150010002000180021.(b) The graph below converts between pounds (£) and Japanese yen Convert 450 yen to pounds.2.12.82.42.32.222. Solve the following equations a) 2x + 4 = 102364522. Solve the following equations (b) 18 – 5x = 38359722. Solve the following equations (c) x + 3 = 2x - 47352822. Solve the following equations (d) 5(x - 3) = 1524610823. The perimeter of the square and the rectangle are the same. Work out the length of a side of the square. Square side =%BLANK%3548624. (a) Given that G = 8h + y Find G if (i) h = 6 and y = -2 G =%BLANK%4844504642 24. (a) Given that G = 8h + y Find G if (ii) h = -12 and y = -4-100-80-110-120-9024. (b) Given that x = \[\frac{(a - z)^{2}}{t}\] Find x if (i) a = 16 z = 4 t = 12151412131624. (b) Given that x = \[\frac{(a - z)^{2}}{t}\] (ii) a = -8 z = -2 t = -9-3-6-2-1-425. 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 .1250012050125000124000125026. Complete the tables below for the given equations: a) y = 2x + 1 26. Complete the tables below for the given equations: b) x + y = 4c) 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
