ST ALBANS HIGH SCHOOL FOR GIRLS 11 PLUS MATHEMATICS SPECIMEN PAPER – 2 by smoothmaths | Jul 9, 2020 | 0 comments Welcome to your ST ALBANS HIGH SCHOOL FOR GIRLS 11 PLUS MATHEMATICS SPECIMEN PAPER - 2 Instructions for Candidates: Work steadily but quickly through the paper, taking care to be as accurate as possible Show working where appropriate. Answers without full working may not gain any credit You may write in pencil or pen No calculators or rulers may be used There are 43 questions in the paper. Always check that you have turned over the page and that you have not missed any pages Do not open this paper until told to start 1. Add 74 + 37111101211311121 2. Subtract 345 - 54291391311491191 3. Add 19.3 + 0.8420.1419.77201.427.7103.3 4. Multiply 18 x 916292152142172 5. Divide 301 ÷ 74333536373 6. Write in figures the number eighteen thousand and forty-six1804618461840610846180046 7. Write in words 3, 060, 120Three million sixty thousand one hundred and twentyThirty million sixty thousand one hundred and twentyThree million six thousand one hundred and twentyThirty million sixty thousand one hundred and twentyThree million sixty one thousand and twenty 8. Work out ¹/7 of 2134567 9. Work out one third of one quarter of 2522111314115 10. You are told that 123 x 45 = 5535Use the above to work out:a. 123 x 45055350550355535553500553050 10.b. 1.23 x 4555.355.535553.50.55350.05535 10.c. 12.3 x 45005535055.355535005535553.5 10.d. 55.35 ÷ 451.2312312.30.1230.0123 11. Work out:a. 50% of 1608050607090 11.b. 25% of 2000500400300600900100 11.c. 28% of 2005646263616 12. a. The smallest2%\[\frac{1}{5}\]0.202\[\frac{222}{1000}\]0.211 12.b. The largest\[\frac{222}{1000}\]2%\[\frac{1}{5}\]0.2020.211 13. Write down one number that is botha. Even and prime246810 13.b. Odd and square9254981all of the above 13.c. A factor of 28 bigger than 1 and a factor of 21 bigger than 174635 13.d. Smaller than 20 and has exactly three different factors9612158 14. Paulina and Simon have baked 5 cakes each to sell at a tea party. Paulinasells 4¾ cakes and Simon sells 2¼ cakes.How much more cake does Simon have left than Paulina?\[\frac{5}{2}\]2\[\frac{1}{2}\]3\[\frac{1}{4}\]2\[\frac{1}{5}\]both a&b 15. Gita wants to form a 4 digit number where the first and last digits are both prime. What are the largest and smallest numbers that Gita can form?Repeated digits are allowed.7997,20027799,22007979,20209797,20029977,2000 16. Imogen buys 4 star stickers at 15p per sticker 7 moon stickers at 16p per sticker If Imogen pays with a £5 note how much change would Imogen get?£ 3.28£ 3.30£ 3.38£ 4.28£ 4.38 17. The temperature of water in a tank is decreasing at 3°C per minute. Ifthe bath starts with a temperature of 48°C , after how long will thetemperature reach 15°C ?11mins21mins33mins41mins15mins 18. If a □ b means the remainder when a + b is divided by 10eg. 7 □ 8 = 5Write down the value ofa. 5 □ 941325 18.b. 2 □ 350467 18.c. 33 □ - 679238 19. The number of stinging nettle plants in Mr Beefshaw’s rose patchdoubles each year. In 2016 there are 8 stinging nettle plants. In whichyear will the number of stinging nettle plants first be more than 1000?20232022202120242025 20. A theatre has seats arranged in rows of 22. If an audience of 483 fills the rows one by one, leaving no empty seats, how many rows will be full?21 rows20 rows19 rows22 rows18 rows 21. A concert hall contains 2800 seats. A model of the hall is made so that it looks exactly the same but 50 times smaller.a. If the hall is 100m long, how long will the model be?2m3m4m5m7m 21.b. How many seats will there be in the model?2800 seats2700 seats2600 seats2500 seats2900 seats 22. a. What fraction of the shape is shaded?\[\frac{1}{5}\]\[\frac{2}{3}\]\[\frac{1}{3}\]\[\frac{2}{5}\]\[\frac{1}{2}\] b. Shade more squares so that ²/3 of the shape is shaded altogether. 23. In this addition sum, A and B stand for digits...Find the values of A and B.A=7,B=14A=6,B=14A=7,B=12A=5,B=14A=7,B=13 24. The scales show how much water is stored in tanks A and B.a. How much water is in tank A?1.6 litres1.7 litres1.5 litres1.4 litres1.8 litres 24.b. Tank B contains more water than tank A. How much more water is in tank B?7.6 litres8.6 litres8.4 litres7.4 litres7.7 litres c. Water is now allowed to flow out of tank B until it contains 3.2 litres.Draw an arrow on scale B to show the new measurement. 25. Jason takes 4 hours to cycle 24 kilometres. If Jason always cycles at the same speed, after how many hours has Jason cycled 15 kilometres?2.5hrs9hrs1.5hrs3.5hrs4.5hrs 26. Write the next number in each of the lists belowa. 3 7 11 15 192322252421 26.b. 4 9 16 25 364942395148 26.c. 23 19 13 5 -5-17-15-14-12-10 27. Here is a sequence of patterns.a. How many triangles are there in the pattern with 3 rectangles?897410 27.b. How many triangles would there be in a pattern withi) 5 rectangles?128151820 27.b.ii) 10 rectangles?2218161420 27.c. How many rectangles would there be in a pattern with 34 triangles?1617183335 28. A cube is unfolded so that its faces form the shape shown below. When the cube is folded up the numbers on opposite faces add up to 10.What are the missing numbers?A=2,B=5A=3,B=5A=2,B=6A=6,B=5A=2,B=8 29. Two angles in a triangle are 30° and 40°. Find the third angle.110115120125130 30. Shade the smallest number of squares so that the two dotted lines become lines of symmetry (mirror lines) of the completed diagram. 31. Reflect the shape in the dotted line. 32. In this fence the posts are all the same width as each other. The gaps are all the same width as each other, too.How wide is each gap?40 cm30 cm20 cm50 cm10 cm 33. 240 passengers boarded a train in Birmingham. The pie chart shows the percentage of the passengers who travelled to Shrewsbury, Welshpool, Ludlow, Chester and Telford.Work out how many passengers travelled to the following three places:Welshpool=60,Ludlow=40,Chester=36Welshpool=50,Ludlow=40,Chester=36Welshpool=60,Ludlow=40,Chester=46Welshpool=60,Ludlow=30,Chester=36Welshpool=60,Ludlow=40,Chester=26 34. This chart shows the number of goals scored in a season by four teamsa. How many goals were scored altogether?10011012090130 34.b. How many more goals were scored by the Shooters than the Raiders?1510202530 35. A, B and C are numbers.The mean of A and B is 40The mean of B and C is 35All three numbers add up to 100What are A, B and C? 36. Here is a balanced mobilePut numbers in the circles to make this one balance. 37. Sholto has 40 helium balloons. Some of the balloons are red, some are blue and some are green. There are three times as many green balloons as there are red balloons and there are twice as many blue balloons as there are green balloons.How many balloons are blue?243440204 38. I think of a number. I multiply my number by 9 and add 5 to the result. The answer is 50. What is my number?56784 39. Jacqueline and Sophia stand facing one another. At exactly the same moment both girls start to turn steadily on the spot.It takes Jaqueline 3 seconds to make one full turn, whilst Sophia takes 4 seconds to complete one full turn.How many times will Jaqueline have turned when the girls are next facing each other?43256 40. 7,58,57,69,57,4 41. A square number is what we get if we multiply a whole number by itself. A cube number comes from multiplying a number by itself and then by itself again. So 9 is a square number because 9 = 3 × 3, and 8 is a cube number because 8 = 2 × 2 × 2.1 is both a square and a cube because 1 = 1 × 1 and 1 = 1 × 1 × 1. Find another number bigger than 0 that it both a square and cube number.647293216both a&b 42. The diagram below is a Venn Diagram. Amy needs to write some numbers inside the circles. Any number written inside one circle is a factor of 12 and any number inside the other circle is a factor of 16. Two numbers have already been written in for you. Help Amy to complete the diagram. 43. Three people stand in a line in order A B C. The people then change positions in the line so that no one person is left standing in the same position as they were to start with.For example C A B.a. What is the only other possible order?BCAABCACBCBACAB 43.b. This process is now repeated with four people, A B C D.The people then change positions in the line so that, again, no one person is left standing in the same position as they were to start with.How many possible ways are there of doing this? Use any space on the next page that you need to.9 ways8 ways7 ways6 ways5 ways Time is Up! Time's up