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 + 37 2. Subtract 345 - 54 3. Add 19.3 + 0.84 4. Multiply 18 x 9 5. Divide 301 ÷ 7 6. Write in figures the number eighteen thousand and forty-six 7. Write in words 3, 060, 120 8. Work out ¹/7 of 21 9. Work out one third of one quarter of 252 10. You are told that 123 x 45 = 5535Use the above to work out:a. 123 x 450 b. 1.23 x 45 c. 12.3 x 4500 d. 55.35 ÷ 45 11. Work out:a. 50% of 160 b. 25% of 2000 c. 28% of 200 12. a. The smallest b. The largest 13. Write down one number that is botha. Even and prime b. Odd and square c. A factor of 28 bigger than 1 and a factor of 21 bigger than 1 d. Smaller than 20 and has exactly three different factors 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? 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. 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? 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 ? 18. If a □ b means the remainder when a + b is divided by 10eg. 7 □ 8 = 5Write down the value ofa. 5 □ 9 b. 2 □ 3 c. 33 □ - 6 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? 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. 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? b. How many seats will there be in the model? 22. a. What fraction of the shape is shaded? 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. 24. The scales show how much water is stored in tanks A and B.a. How much water is in tank A? b. Tank B contains more water than tank A. How much more water is in tank B? 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? 26. Write the next number in each of the lists belowa. 3 7 11 15 19 b. 4 9 16 25 36 c. 23 19 13 5 -5 27. Here is a sequence of patterns.a. How many triangles are there in the pattern with 3 rectangles? b. How many triangles would there be in a pattern withi) 5 rectangles? ii) 10 rectangles? c. How many rectangles would there be in a pattern with 34 triangles? 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? 29. Two angles in a triangle are 30° and 40°. Find the third angle. 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? 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: 34. This chart shows the number of goals scored in a season by four teamsa. How many goals were scored altogether? b. How many more goals were scored by the Shooters than the Raiders? 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? 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? 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? 40. 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. 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? 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. Time is Up!