St Albans School 11 Mathematics Examination Specimen PaperOnline Quiz view all papers Welcome to your ST ALBANS SCHOOL 11 PLUS MATHEMATICS EXAMINATION SPECIMAN PAPER - 1 1. The following fractions are equivalent. Fill in the missing numbers.6 & 284 & 246 & 328 & 326 & 24 2. Calculate 129 × 3241283718411839284028 3. Given that 42 × 17 = 714 , write down the answer to (a) 42 × 341428285621423570None of the Above (b) 714 ÷ 213417421421 (c) 4.2 × 1771.47.1471472.4None of the Above 4. Write (a) 0.37 as a percentage.0.370.730.00370.0370.038 (b) 4/5 as a decimal0.880.080.50.4 (c) 43% as a fraction\[\frac{43}{100}\]\[\frac{43}{10}\]\[\frac{100}{43}\]\[\frac{10}{43}\]None of the Above (d) 4.233.231.771.23None of the Above 5. Find 35% of 80kg2830455235 6. Write in figures the number “two hundred and three thousand, one hundred and seventy”203170231702301702003170200300010070 7. Calculate 0.871 - 0.39 + 1.41.8811.4001.4810.481None of the Above 8. Given that What is \[\frac{1}{6}\]\[\frac{1}{2}\]\[\frac{2}{3}\]-\[\frac{1}{6}\]\[\frac{3}{2}\] 9. Fill in the missing numbers in this division. 10. What time is 1 hour and 37 minutes later than 14 : 48 ?16:2515:4813:1116:0016:35 11. If ²/3 of a number is 14 , what is the number?2192842None of the Above 12. I think of a number multiply it by 3 and then subtract 8. If the answer is -5 , what number did I start with?13-58None of the Above 13. (a) What number is half way between 3.2 and 5.6 ?4.42.81.62.43.8 (b) What number is half way between -6 and +4 ?-1-5-2-31 14. Complete these calculations(a) 21 × 6 + 9 × 6 = × 6 =3020354080 (b) 17 × 14 + 16 × 7 = × 7 + × 7 = 34 & 1630 & 1532 & 1836 & 20None of the Above 15. A space ship travels at 193 metres per second for 5 minutes 7 seconds. Use approximations to decide whether the distance travelled will be nearer 1 to km, 10 km, 60 km or 600 km. (You must show your working.)60km10km600km1km100km 16. Tom only has Smarties left, one each of Red, Green, Orange and Yellow.If he chooses Smarties, list all the possible combinations of colours.624812 17. In a bowl there are 6 apples, 3 plums and 4 peaches. If I choose one piece of fruitat random, what is the probability.(a) That it is not a plum?\[\frac{10}{13}\]\[\frac{4}{7}\]\[\frac{4}{13}\]1\[\frac{4}{3}\] (b) That it is banana?03218 18. (a) Find the area of this shape.13\[cm^{2}\]6\[cm^{2}\]36\[cm^{2}\]12\[cm^{2}\]16\[cm^{2}\] (b) Find the perimeter.28cm18cm20cm23cm26cm 19. In the sequence 1, 2, 3, 4, 7, 11........ each number after the second is the sum of the two previous numbers of the sequence. What is the 10th number of the sequence ?12376133100143 20. The length of a rectangle is twice its width. Its area is 98 cm². Find its length and width.79.8810None of the Above 21. In this question the diagrams are not drawn accurately, so the angles cannot be found by measuring with a protractor.The angles of a triangle add up to 180°.(a) In this triangle angle A is the same as angle B, and angle C is twice angle B. Workout each of the three angles.A=45°,B=45°,C=90°A=60°,B=60°,C=70°A=25°,B=25°,C=50°A=35°,B=35°,C=80°None of the Above The angles round a point add up to 360°(b) In the diagram below, one angle is 90° and the other three are equal to each other.Work out the missing angles.90°270°60°80°None of the Above 22. (a) Plot the following points (2, 4) , (-3, 1) , (-2, 3) Join them to form a triangle. (b) Draw another triangle joined onto this one so that the combined shape has oneline of symmetry. 23. (a) List the prime numbers less than 20.2,35,711,1317,19All of the Above (b) A factor tree can be used to write a number as the product of prime factors.For example:- So 90 = 2 × 5 × 3 × 3By drawing a factor tree, or using any other method you know, write as the productof prime factors. (c) Find the Lowest Common Multiple (LCM) of 24 and 3672366812 24. An approximate method of deciding how much sleep a young person needs is tosubtract their age from 33 and divide by 2.(a) How much sleep does an eleven year old need?11hours5.5hours11.5hours22hoursNone of the Above (b) How old is a person who needs 5 hours sleep?23103320None of the Above (c) How old is the person who needs no sleep at all? (If the formula is correct!)3320231110 (d) Does it make sense to use the formula for older people? Give a reason for youranswer. 25. Nine bus stops are equally spaced along a bus route. The distance from the first to the third is 600 metres. How far is it from the first to the last?24003001200600None of the Above 26. When asked how many chickens and cows he had on his farm Mr Brown refused to answer directly, but he did say that the total number of heads was and the total number of legs was. How many of each was there?20 Cows & 10 Chickens10 Cows & 20 Chickens25 Cows & 15 Chickens30 Cows & 15 Chickens20 Cows & 40 Chickens 27. Inside the large square (of “size 16”) a smaller square of “size 9” is shown shaded.(a) How many different “size 9” squares are there inside the large square? (b) How many different “size 4” squares are there inside the “size 16” square? (c) How many different squares are there in total, taking into account all sizes andpositions?3016252920 Time is Up! Time's up