St Albans High School for Girls Specimen 11 Plus Maths Paper 1 2017 Online Quiz view all papers Welcome to your ST ALBANS HIGH SCHOOL FOR GIRLS 11 PLUS MATHEMATICS SPECIMEN PAPER - 2Instructions for Candidates:Work steadily but quickly through the paper, taking care to be as accurate as possibleShow working where appropriate. Answers without full working may not gain any creditYou may write in pencil or penNo calculators or rulers may be usedThere are 43 questions in the paper. Always check that you have turned over the page and that you have not missed any pagesDo not open this paper until told to start1. Add 74 + 37 111 101 211 311 121 None 2. Subtract 345 - 54 291 391 311 491 191 None 3. Add 19.3 + 0.84 20.14 19.77 201.4 27.7 103.3 None 4. Multiply 18 x 9 162 92 152 142 172 None 5. Divide 301 ÷ 7 43 33 53 63 73 None 6. Write in figures the number eighteen thousand and forty-six 18046 1846 18406 10846 180046 None 7. Write in words 3, 060, 120 Three million sixty thousand one hundred and twenty Thirty million sixty thousand one hundred and twenty Three million six thousand one hundred and twenty Three million sixty one thousand and twenty None 8. Work out ¹/7 of 21 3 4 5 6 7 None 9. Work out one third of one quarter of 252 21 11 31 41 15 None 10. You are told that 123 x 45 = 5535Use the above to work out:a. 123 x 450 55350 55035 5535 553500 553050 None 10.b. 1.23 x 45 55.35 5.535 553.5 0.5535 0.05535 None 10.c. 12.3 x 4500 55350 55.35 553500 5535 553.5 None 10.d. 55.35 ÷ 45 1.23 123 12.3 0.123 0.0123 None 11. Work out:a. 50% of 160 80 50 60 70 90 None 11.b. 25% of 2000 500 400 300 600 900 100 None 11.c. 28% of 200 56 46 26 36 16 None 12. a. The smallest 2% \[\frac{1}{5}\] 0.202 \[\frac{222}{1000}\] 0.211 None 12.b. The largest \[\frac{222}{1000}\] 2% \[\frac{1}{5}\] 0.202 0.211 None 13. Write down one number that is botha. Even and prime 2 4 6 8 10 None 13.b. Odd and square 9 25 49 81 all of the above None 13.c. A factor of 28 bigger than 1 and a factor of 21 bigger than 1 7 4 6 3 5 None 13.d. Smaller than 20 and has exactly three different factors 9 6 12 15 8 None 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 None 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. 7997,2002 7799,2200 7979,2020 9797,2002 9977,2000 None 16. Imogen buys4 star stickers at 15p per sticker7 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 None 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 ? 11mins 21mins 33mins 41mins 15mins None 18. If a □ b means the remainder when a + b is divided by 10eg. 7 □ 8 = 5Write down the value ofa. 5 □ 9 4 1 3 2 5 None 18.b. 2 □ 3 5 0 4 6 7 None 18.c. 33 □ - 6 7 9 2 3 8 None 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? 2023 2022 2021 2024 2025 None 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 rows 20 rows 19 rows 22 rows 18 rows None 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? 2m 3m 4m 5m 7m None 21.b. How many seats will there be in the model? 2800 seats 2700 seats 2600 seats 2500 seats 2900 seats None 22. a. What fraction of the shape is shaded? \[\frac{1}{5}\] \[\frac{2}{3}\] \[\frac{1}{3}\] \[\frac{2}{5}\] \[\frac{1}{2}\] None 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=14 A=6,B=14 A=7,B=12 A=5,B=14 A=7,B=13 None 24. The scales show how much water is stored in tanks A and B.a. How much water is in tank A? 1.6 litres 1.7 litres 1.5 litres 1.4 litres 1.8 litres None 24.b. Tank B contains more water than tank A. How much more water is in tank B? 7.6 litres 8.6 litres 8.4 litres 7.4 litres 7.7 litres None 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? 2.5hrs 9hrs 1.5hrs 3.5hrs 4.5hrs None 26. Write the next number in each of the lists belowa. 3 7 11 15 19 23 22 25 24 21 None 26.b. 4 9 16 25 36 49 42 39 51 48 None 26.c. 23 19 13 5 -5 -17 -15 -14 -12 -10 None 27. Here is a sequence of patterns.a. How many triangles are there in the pattern with 3 rectangles? 8 9 7 4 10 None 27.b. How many triangles would there be in a pattern withi) 5 rectangles? 12 8 15 18 20 None 27.b.ii) 10 rectangles? 22 18 16 14 20 None 27.c. How many rectangles would there be in a pattern with 34 triangles? 16 17 18 33 35 None 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=5 A=3,B=5 A=2,B=6 A=6,B=5 A=2,B=8 None 29. Two angles in a triangle are 30° and 40°. Find the third angle. 110 115 120 125 130 None 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 cm 30 cm 20 cm 50 cm 10 cm None 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=36 Welshpool=50,Ludlow=40,Chester=36 Welshpool=60,Ludlow=40,Chester=46 Welshpool=60,Ludlow=30,Chester=36 Welshpool=60,Ludlow=40,Chester=26 None 34. This chart shows the number of goals scored in a season by four teamsa. How many goals were scored altogether? 100 110 120 90 130 None 34.b. How many more goals were scored by the Shooters than the Raiders? 15 10 20 25 30 None 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? 24 34 40 20 4 None 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? 5 6 7 8 4 None 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? 4 3 2 5 6 None 40. 7,5 8,5 7,6 9,5 7,4 None 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. 64 729 32 16 both a&b None 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? BCA ABC ACB CBA CAB None 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 ways 8 ways 7 ways 6 ways 5 ways None Time's up
