Group 1 Mathematics Entrance Examination 2009 Online Quiz

Welcome to your THE NORTH LONDON INDEPENDENT GIRLS' SCHOOLS' CONSORTIUM GROUP 1 (2008-2016) Paper 2

1.

27427 27327 56893 27427 27500

2.

41096 41046 40896 40096 40826

3.

814 811.5 800 765 820

4. Find †he difference between 2.7 metres and 32 centimetres.

Give your answer in metres.

2.38m 30.70m 2.48m 0.38m 0.28m

5. What fraction of a minute is 40 seconds?

\[\frac{2}{3}\] \[\frac{4}{6}\] \[\frac{1}{3}\] \[\frac{3}{2}\] both a & b

6. Put the following fractions in order, starting with the smallest.

\[\frac{2}{3}\],\[\frac{3}{5}\],\[\frac{29}{45}\]

\[\frac{3}{5}\] , \[\frac{29}{45}\] , \[\frac{2}{3}\] \[\frac{3}{5}\] , \[\frac{2}{3}\] , \[\frac{29}{45}\] \[\frac{2}{3}\] , \[\frac{29}{45}\] , \[\frac{3}{5}\] \[\frac{29}{45}\] , \[\frac{3}{5}\] , \[\frac{2}{3}\] \[\frac{29}{45}\] , \[\frac{2}{3}\] , \[\frac{3}{5}\]

7. Which is the smallest number?

0.54 0.092 0.635 0.3

0.092 0.54 0.635 0.3 none of the above

8. Which number between 55 and 65 can be divided exactly by 9?

63 57 56 64 58

9. Which number between 140 and t70 can be divided exactIy by both 8 and 9?

144 164 156 148 150

10. Add together the following numbers and write your answer in figures.

nine million eleven thousand twelve hundred thirteen

9012213 2513100 912213 90012213 9011321

11. The diagram shows the distances between some cities.

If the total distance travelled from Lisbon to Munich is 2730 km, how far was the journey from Madrid to Paris ?

1255km 4205km 1265km 1355km 1356km

12. Sonal wishes to buy o magazine priced at £2.28.

a) What is the least number of coins she could use †o reach the exact price?

5 coins 4 coins 3 coins 2 coins 6 coins

b) Miriam pays for two of these mogozines with a CIO note. How much change should she receive?

£ 5.44 £ 5.54 £ 54.4 £ 5 £ 5.45

13. a. Complete the table of values for this number machine with the rule 'multiply by 4, then subtract 3 .

Number IN	Number OUT
7	25
2	5
10	______
_____	81

21,37 21,35 18,37 21,34 15,37

b. What is the rule for this number machine? Write your answer inside the machine.

Number IN	Number OUT
2	17
7	52
9	66
10	73

x by7 then +3 x by6 then +3 x by7 then -3 x by5 then +3 x by7 then +4

14. On her birthday last year, Emily was 140cm tall. When she measured herself on her birthday today, she calculated that she had grown by a fifth of the height she was a year ago.

a) How tall is she now?

168cm 160cm 170cm 158cm 180cm

b) Emily’s brother, Jack, is now 105cm tall, having grown by one sixth of his height a year ago. how tall was Jack one year ago?

90cm 60cm 80cm 50cm 40cm

15. 32 students and 4 members of staff from Encrypt School are going to a lecture on code-breaking.

How much will the tickets cost in total for the school party ?

£ 463 £ 453 £ 175 £ 400 £ 345

16. The scale is measured in degrees Celsius, °C.

a) What temperature does the thermometer show?

23 21 22 24 25

b. What temperature does this thermometer show?

-12 -8 -14 -11 -13

C. What is the difference between these two temperatures in °C ?

35 11 -35 25 -15

d. A flow chart for converting ”C into degrees Fahrenheit, °F, is

i) What temperature is 20 °C in °F?

68 98 64 59 75

ii) What temperature is 59 °F in °C?

15 76 48.6 116 11.6

17. The time in Athens is two hours ahead of the time in London. For example
when it is 15:00 in London it is t7:00 in Athens.

a. Noni flies directly to Athens from London, departing of 08:20 hours. If the journey from London takes 3 hours 45 minutes, at what time, local to Athens, will Nani arrive in Athens?

14:05 02:05 12:05 12:00 both a&b

b. It takes the some time to fly from Athens to London as it takes from London to Athens.
Noni leaves Athens airport at t9:l5 hours.
At what time will she reach London (local time)?

21:00 23:00 17:15 20:00 22:45

18. The graph shows how a freshly made cup of tea cools over time.

a) What is the temperature of the tea 1 minute after it has been made?

66 65 64 67 70

b) After how many minutes and seconds has the tea's temperature cooled to 45°C?

4 mins 24 secs 4 mins 12 secs 3 mins 48 secs 4 mins 36 secs 4 mins 30 secs

c) How long does it take for the tea to halve its original temperature?
Give your answer in minutes and seconds.

5 mins 48 secs 5 mins 36 secs 2 mins 30 secs 6 mins 0 sec 4 mins 36 secs

d) What is the temperature of the tea 3 minutes 48 seconds after it was mode?

48 46 40 44 45

19. How many triangles are there in this diagram?

19 13 7 9 16

20. What is the area of this shape?

16 \[units^{2}\] 24 \[units^{2}\] 22 \[units^{2}\] 8 \[units^{2}\] 32 \[units^{2}\]

21. This is a loose sheet from a newspaper with 64 pages. What is the missing page number?

59 71 58 69 66

22.

a) Put a cross on the mop where this signpost should go.

b) Using the mop above what is the shortest route from the park to the cinema?

815m 515m 685m 775m 790m

23. It takes me half an hour to fill the paddling pool to a depth of 20cm using One hose.

a) How lon9 will it toke to fill it to the same depth if I use two hoses?

15 mins 60 mins 10 mins 40 mins 20 mins

b) How long will it take to fill it to a depth of 30cm if I use 3 hoses?

15 mins 10 mins 60 mins 20 mins 25 mins

24. 72 pupils were asked to choose their favourite type of film.The results ore shown in the diagram.

a) How many pupils chose Comedy?

18 13 15 12 20

b) What angle should be in the sector representing Romance?

50 250 80 60 150

25. What fraction of this diagram is shaded?

\[\frac{3}{16}\] \[\frac{3}{15}\] \[\frac{1}{16}\] \[\frac{1}{3}\] \[\frac{1}{2}\]

26. Fred is facing south. He turns through 45° in a clockwise direction.

a) Which direction is Fred now facing?

SW NW SE NE S

b) Johnny is facing west. How many degrees would he need to turn, clockwise, to face north east?

135 125 145 130 150

c) What is the size of the reflex angle between NE and W?

225 235 245 215 200

d) Sandra is facing N and turns clockwise through 495°. In which direction
is she now facing?

SE NE SW NW S

27.

a) what are the values of X and Y ?

x=2cm,y=6cm x=2cm,y=8cm x=14cm,y=6cm x=2cm,y=24cm x=4cm,y=6cm

b) What is the perimeter of the shape?

52cm 56cm 76cm 88cm 64cm

c) What is the area of the shape?

72\[cm^{2}\] 62\[cm^{2}\] 82\[cm^{2}\] 70\[cm^{2}\] 65\[cm^{2}\]

28. A ship is being tracked by a satellite.

Join the points in order. What is the name of the shape you have drown?

Trapezium Square Rectangle Triangle Paralellogram

29 Nine identical squares are glued together to form the figure.

The perimeter of the figure is 160cm.

a) Find the length of the side of each small square.

10cm 15cm 20cm 12cm 25cm

b) Find the area of each small square .

100\[cm^{2}\] 225\[cm^{2}\] 400\[cm^{2}\] 144\[cm^{2}\] 625\[cm^{2}\]

c) Find the area of the whole figure.

900\[cm^{2}\] 2025\[cm^{2}\] 3600\[cm^{2}\] 1296\[cm^{2}\] 5625\[cm^{2}\]

30. Amir, Anna and Arjun have bought some fruit at a market stall.
Amir bought 2 Pears and 1 Mango for £1.35
Anna bought 1 Pear and 2 Mangos for £1.20
Arjun bought 1 Pear, 1 Mango and 1 Apple for £1

How much, in pence, did the apple cost?

15p 25p 18p 20p

33. 72 ladies attending a garden party were each wearing a pair of gloves. Some ladies lost their gloves. The ratio of ladies who lost gloves to the ladies who did not lose any gloves was 5:13.

a) What fraction of ladies lost their gloves?

\[\frac{5}{18}\] \[\frac{5}{9}\] \[\frac{18}{5}\] \[\frac{1}{3}\] \[\frac{1}{18}\]

52 ladies did not lose their gloves.
Some ladies lost one glove and some lost both gloves. After the party, the 29 missing gloves were found.

b. How many ladies lost only one glove?

11 69 9 15 18

34. Dominic, Hannah and Abdul have 36 sweets between them.
Dominic has half as many sweets Qs Hannah.
Abdul hos 3 times as many sweets as Hannah.

How many sweets does Abdul have?

24 12 18 36 20

5 13 2 4 8

6 4 9 8 3

9 or -8 6 or -7 3 or -5 4 or -6 2 or -4

36. Each letter from A to I is e code for one of the digits 1, 2, 3, 4, 5, 6, 7, 8 or 9.
   We already know that H = 2 and I = 7
H + I = 9
H x I = 14
and HI means 27

Now crock the rest of the code using the following:

   G x C = 30
   D + D = A
   D x D = BC
   D + E = BF
   E + E = BA
   E x E= AB
   D x E= FC

Answer: A=? B=? C=? D=? E=? F=? G=?

A=8,B=1,C=6,D=4,E=9,F=3,G=5 A=8,B=2,C=6,D=4,E=9,F=3,G=5 A=8,B=1,C=6,D=4,E=7,F=3,G=5 A=4,B=1,C=6,D=4,E=9,F=3,G=5 A=8,B=1,C=6,D=4,E=9,F=3,G=6

37. Jessica arranges numbers in rows to get a triangular arrangement. The first four rows are shown below.

a) What is the last number in row 12?

144 169 100 121 24

b) How many numbers ore there in the 20th row?

Answer:%BLANK%

39 29 40 49 19

c) In which row are there 21 numbers?

11 10 12 9 15

d) Jessica works out the mean (average) of the numbers in each row.

Row	1	2	3	4
Mean	1	3	7	13

What is the mean of the numbers in row 10?

91 81 71 101 61

e) What is the sum of numbers in the 8th row?

855 342 825 588 785

Group 1 Mathematics Entrance Examination 2009 Online Quiz

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