St Georges College 11 Entrance Examination Sample Online Quiz view all papers Welcome to your ST GEORGE'S COLLEGE 11 PLUS MATHS PRE TEST SAMPLE PAPER - 1 1. Calculate the answers to the following660650640600610 1.257267357367343 1.4891487144914471670 1.d) 4122 ÷ 6687603746677706 2. Add twelve thousand and sixty seven and nine thousand one hundred and four. Give your answer in words.twenty one thousand one hundrer and seventy onetwenty one thousand one hundrer and sixty oneeleven thousand one hundrer and seventy onetwenty thousand one hundrer and seventy one 3. A jumbo jet can take 324 passengers.a) How many passengers could be transported by a fleet of 28 jumbo jets ?90729042997299423240 3.b) What is the answer to the nearest 100 ?91009000920089009720 4. Convert a) 60% to a fraction in its simplest form\[\frac{3}{5}\]\[\frac{1}{5}\]\[\frac{5}{3}\]\[\frac{1}{2}\]\[\frac{2}{5}\] 4.b) 0.12 to a fraction in its simplest form\[\frac{3}{25}\]\[\frac{6}{5}\]\[\frac{1}{12}\]\[\frac{3}{5}\]\[\frac{1}{12}\] 5. Arrange the following numbers in order from smallest to largest. 9.7, 9.63, 9.099, 9.199, 9.200019.099,9.199,9.20001,9.63,9.79.199,9.099,9.20001,9.63,9.79.099,9.199,9.20001,9.7,9.639.099,9.199,9.63,9.7,9.200019.7,9.63,9.20001,9.199,9.099 6. Marie bought seven cinema tickets for £58.10.How much was each ticket?£ 8.30£ 8£ 3£ 7.20£ 83.0 7. Ruth wants to buy three bracelets at £1.29 each and a birthday card for£1.85.a) How much does this cost her altogether?£ 5.72£ 5.52£ 5.62£ 4.72£ 4.62 7.b) She only has £3.20. How much does she need to borrow to buy thesethings?£ 252£ 250£ 2.52£ 152£ 352 8. Write downa) A prime number between 20 and 3023292125both a&b 8.b) A squared number between 30 and 403633393438 8.c) A multiple of 17 between 50 and 605153555659 9. a) Write down the coordinates of point A(2,6)(2,7)(3,6)(2,5)(1,6) b) Plot the points B (2, 4) and C (6, 5). Join points A, B and C to form a triangle. 9.c) What type of triangle is ABC ?Isosceles triangleRight angle triangleequilateral triangleboth a&bnone of the above 9.d) What is the area of this triangle?4 \[unit^{2}\]8 \[unit^{2}\]2 \[unit^{2}\]16 \[unit^{2}\]10 \[unit^{2}\] 10. Write down the next two numbers in the following sequences?a) 8 4 2 10.5 , 0.250.6 , 0.30.2 , 0.10.4 , 0.20.3 , 0.15 10.b) 23 17 11 5-1,-7-2,-9-1,-6-3,-11-4,-7 11. Eleanor is taking part in a triathlon. This starts with a swimming stagefollowed by a cycling stage and finishes with a running stage.a) She starts the swimming stage at 12:45 pm. If she takes 79 minutes tocomplete this stage, at what time does she start the cycling stage.2:04pm1:45pm2:15pm2:00pm1:30pm 11.b) If she starts the running stage at 4:38 pm work out how long she tookin minutes on the cycling stage.154mins180mins150mins165mins124mins 11.c) If she took 107 minutes on the running stage work out how long shetook to complete the whole triathlon.Give your answer in hours and minutes.5h 40mins5h 10mins5h 20mins4h 40mins4h 20mins 12.In a box of sweets there are 7 toffees for every 12 chocolates. If there are 72chocolates how many toffees are there?42 toffees56 toffees35 toffees49 toffees63 toffees 13. David is 15 stone 11. Andrew is 275 pounds. If there are 14 pounds in 1 stonewhat is the difference between their weights?Give your answer in pounds.54 pounds74 pounds64 pounds89 pounds70 pounds 14. Jennifer is assembling a wardrobe. The measurements for the 3 sections aregiven in different units. The first section is 30cm wide; the second section is1.5m wide and the third section 150mm wide. How wide is the wholewardrobe? Give your answer in cm.195cm330cm200cm395cm295cm 15. Kevin gets paid £500 for each match he plays plus £100 for each goal he scores. In a season he plays 20 games and averages two goals per game.How much does he earn over the season?£ 14000£ 1400£ 140000£ 140£ 10400 16. Helen spends half her money on a dress. She then spends one-third ofwhat is left on shoes.a) If she started with £120 how much does she have left?£ 40£ 60£ 50£ 30£ 70 16.b) What is this as a fraction of what she started with?\[\frac{1}{3}\]\[\frac{1}{2}\]\[\frac{5}{12}\]\[\frac{1}{4}\]\[\frac{6}{7}\] 17. The base of Sarah’s fish tank is 60cm long and 20 cm wide.a) What is the area of the base?1200 \[cm^{2}\]120 \[cm^{2}\]600 \[cm^{2}\]2400 \[cm^{2}\]3600 \[cm^{2}\] 17.b) If the height of the fish tank is 30 cm what is the maximum volume ofwater it could hold?36000 \[cm^{3}\]3600 \[cm^{3}\]12000 \[cm^{2}\]24000 \[cm^{2}\]32000 \[cm^{2}\] 17.c) Sarah only has 24 litres of water. How deep can she fill the tank?(Each litre of water occupies 1000cm³).20cm30cm10cm2cm40cm 18. Calculate the following showing your working out for each one.Simplify your answer where possible.\[\frac{10}{21}\]\[\frac{1}{3}\]\[\frac{1}{2}\]\[\frac{21}{10}\]\[\frac{2}{21}\] 18.\[\frac{123}{20}\]\[\frac{28}{9}\]\[\frac{113}{20}\]\[\frac{121}{21}\]\[\frac{24}{29}\] 18.\[\frac{7}{2}\]\[\frac{1}{2}\]\[\frac{1}{3}\]\[\frac{5}{2}\]\[\frac{2}{7}\] 19. The pie chart shows the proportions of different colours of cars in a school carpark.There were 36 black cars. How many blue cars were there?4812362460 20. Verity thinks of a number. She multiplies it by 7 then adds 8.If the resulting number is 71 what number did she think of in the first place?98765 21. Multiply 6.4 by 2.717.2817.0816.2816.0857.6 22. Atriangle has area 24cm’. It’s base is 6cm. What is its height?8cm0.5cm72cm4cm6cm 23. Geraldo’s rectangular garden has 4 equally sized triangular-shapedflower beds. The remaining area, shown in grey in the picture below, is coveredin grass.a) What is the area of one flower-bed?9 \[m^{2}\]18 \[m^{2}\]8 \[m^{2}\]12 \[m^{2}\]16 \[m^{2}\] 23.b) What is the area of the whole garden?240 \[m^{2}\]18 \[m^{2}\]8 \[m^{2}\]12 \[m^{2}\]24 \[m^{2}\] 23.c) What is the area of the grass?240 \[m^{2}\]128 \[m^{2}\]208 \[m^{2}\]144 \[m^{2}\]172 \[m^{2}\] 24. The mean of three positive whole numbers is 6. The mode is 5. Find thethree numbers.5,5,84,4,85,5,73,3,85,4,8 Time is Up! Time's up