Hampton Court House Entrance Examination Year 7/ 8 MATHEMATICS Online Quiz view all papers Welcome to your HAMPTON COURT HOUSE PAPER 11. Write down the answers to these questions. You may show your working or work them out in your head. a. 124 + 37 Answer: 161 151 165 175 494 None 1.b. 4 × 8 Answer: 32 24 34 36 28 None 1.c. 100 – 48 Answer: 52 62 55 42 72 None 1.d. 39 ÷ (-3) Answer: -13 13 10 15 12 None 1.e. 502 × 10 Answer : 5020 502 50200 520 5252 None 1.f. Half of 74 Answer: 37 32 33 34 47 None 1.g. -263 + 984 Answer: 721 720 711 731 621 None 1.h. -705 – 342 Answer: -1047 1047 -1007 1045 1035 None 1.i. 3 + 2 × 5 Answer: 13 25 16 20 15 None 1.j. 4.5 × 10 Answer: 45 4.5 450 0.45 0.045 None 2. Work out 694 × 27, showing all your workings. Answer: 18738 6246 18718 18038 18108 None 3. Here is a start of a number pattern: 28 25 22 19 16 13 10 ...... ...... a. From the numbers in the list above, write down i. an even number Answer: 28 or 22 or 16 or 10 25 19 13 7 None 3.(a) ii. the product of 2 and 11 Answer: 22 20 33 32 44 None 3.(a) iii. a prime number 13 or 19 16 22 25 10 None 3.(a) iv. a square number 16 or 25 10 28 19 13 None 3.b. Write down the next two numbers in the pattern. Answer: 7 and 4 7 and 3 6 and 4 7 and 2 5 and 4 None 3.c. If you carry on the pattern, which will be the first number below zero? Answer: -2 -3 -1 -4 -5 None 4. Jon keeps chickens and ducks. He has 6 chickens and 2 ducks. a. What fraction of Jon’s animals are ducks? Answer: \[\frac{1}{4}\] \[\frac{3}{4}\] \[\frac{1}{3}\] \[\frac{1}{2}\] \[\frac{1}{8}\] None 4.b. What percentage of Jon’s animals are chickens? Answer: 0.75 0.5 0.7 0.65 0.85 None 5. Express 102 as a product of its prime factors. Answer: 2x3x17 3x17 2x17 2x3x3 2x3x15 None 6. What is the smallest number that has four different prime factors? Answer: 210 212 112 121 216 None 7. Simplify the following: 3x + 7y – 6x + 23y Answer 30y-3x 30y+3x 17y-10x 20y-3x 17y+9x None 8. Solve these equations to find x: a. x – 5 = 17 Answer: 22 12 20 26 15 None 8.b. \[\frac{x}{2}\] + 3 =12 Answer: 18 4.5 30 7.5 8 None 9. Calculate the missing angles. Answer: a=91,b=111 a=101,b=111 a=91,b=129 a=109,b=111 a=101,b=121 None 10. Here is a part of a railway timetable.London King’s Cross10 3011 3012 3513 2514 30Peterborough11 2412 3513 2714 1515 45Newcastle13 3614 5815 3917 0517 30 a. How long, in minutes, does it take the 11 30 to get from London to Peterborough? Answer: 65 mins 55 mins 75 mins 45 mins 35 mins None 10.b. Anja needs to be at a very important meeting in Newcastle at 15 00. Which train should she take from London? Give a reason. Answer: 10:30 10:00 9:30 8:15 11:30 None 11. Jon looks at the Year 7 test results in Maths and lists the marks: 20, 5, 10, 12, 0, 1, 14, 2, 15, 14, 3, 5, 14, 4 a. What is the range? Answer: 20 0 18 16 19 None b. What is the median score? Answer: 7.5 7 5 8 6.2 None c. What is the mean score? Answer: 8.5 14 7.5 8 9.5 None d. What is the mode? Answer: 14 10 12 16 18 None e. Jon realizes that the student with a score of 0, did in fact answer one question correctly and therefore got 1 mark. Explain why this affects the mean score but not the median. Answer: sum changes but order is same sum is same but order changes sum is same and order is same sum changes and order changes none of the above None 12. Write the following as top heavy fractions: (a) 3\[\frac{3}{5}\] Answer: \[\frac{18}{5}\] \[\frac{3}{5}\] \[\frac{15}{5}\] \[\frac{5}{18}\] \[\frac{1}{3}\] None (b) 2 \[\frac{1}{3}\] Answer: \[\frac{7}{3}\] \[\frac{1}{3}\] \[\frac{2}{3}\] \[\frac{3}{7}\] \[\frac{1}{4}\] None 13. Solve the following, leaving your answers in the simplest form. (a) \[\frac{1}{4}\] + \[\frac{3}{8}\] Answer: \[\frac{5}{8}\] \[\frac{4}{12}\] \[\frac{8}{5}\] \[\frac{1}{4}\] \[\frac{1}{2}\] None (b) \[\frac{3}{7}\] - \[\frac{3}{4}\] Answer: \[\frac{-9}{28}\] \[\frac{0}{3}\] \[\frac{9}{28}\] \[\frac{28}{9}\] \[\frac{1}{3}\] None 14. My cat drinks two thirds of a bottle of milk a day. How long will 6 bottles last? Answer: 9 days 4 days 12 days 8 days 10 days None 15. A lottery “jackpot” pay-out of €1 275 363 was shared amongst three people. a. How much did each receive? Answer: € 425121 425200 325112 425321 345211 None b. How much did each receive, to the nearest thousand Euros? Answer: € 425000 424532 425250 325000 452000 None c. Round your answer to part a to 2 significant figures. Answer: € 430000 420000 450000 440000 415250 None 16. Find the area and perimeter Perimeter: ———– m Area:———— \[cm^{2}\] Perimeter=54cm,Area=108\[cm^{2}\] Perimeter=63cm,Area=108\[cm^{2}\] Perimeter=54cm,Area=98\[cm^{2}\] Perimeter=50cm,Area=108\[cm^{2}\] Perimeter=54cm,Area=120\[cm^{2}\] None 17. Find the area and perimeter Perimeter:–———— cm Area:————— \[cm^{2}\] Perimeter=46cm,Area=108\[cm^{2}\] Perimeter=6cm,Area=108\[cm^{2}\] Perimeter=46cm,Area=112\[cm^{2}\] Perimeter=50cm,Area=108\[cm^{2}\] Perimeter=46cm,Area=110\[cm^{2}\] None 18. The formula for the area of a circle is A=π\[r^{2}\] For the following task use π = 3.14.A circle of radius 10 cm is inscribed inside a square as shown. Find the area of the shaded region. Area:————— \[cm^{2}\] 86\[cm^{2}\] 96\[cm^{2}\] 76\[cm^{2}\] 337.2\[cm^{2}\] 106\[cm^{2}\] None Time's up
