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

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

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5. Write the number thirty thousand, two hundred and ninety seven in figures.

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6. On Monday it was -12°C. The temperature rose by 1 °C each day for the next week. What was the temperature on Friday?

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7. Which of these letters do not look the same when reflected in the mirror line shown below?

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8. Write down the next two terms in each sequence:

15, 24, 33, 42, ,

2.2, 2.5, 2.8, 3.1, ,

\[\frac{1}{3}\], 1, 3, 9, ,

9. a) May is 14 years old and her father is 39 years older than her. May’s mother is 8 years younger than her father. How old is May’s mother?

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b) Five glass marbles cost a total of 17.50. How many marbles could I buy with £24?

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10. Add the smallest of the following numbers to the largest:

1, 0.13, 0.8, 0.012, 1.238, 0.028

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11. I arrived at the station at 7.47 a.m. My train was due at five past eight but was 13 minutes late.

How long did I have to wait for my train?

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12. You multiply a number by itself. You then multiply the new number by three. The answer is 192.

What is your starting number?

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13. Circle the net which can be folded into a cube that looks different from the others.

14. Disc B turns twice when A turns 5 times. If disc A turns 45 times, how many times does disc B turn?

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15. A box contains 48 pieces of fruit. Five eighths of them are apples and the rest of them are pears. How many pears are there?

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16. Use the symbols +, -, ÷ , or x to make each calculation correct.

(i)5 3= 12 4

(ii) 2 3 = 12 2

(iii) 5 5= 4 4

17. All the water from these two beakers is poured into the empty beaker. Draw a line to show the level of the water in the new beaker.

18. A square has a perimeter of 8cm. Five of these squares are put together in a line to make a rectangle.

What is the area of the rectangle?

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19.

Brendan and Sophie got f0.20 change when they paid with £5 for some tomatoes, green peppers and cucumbers which they bought at a farm stand.
⦁ They bought 5 tomatoes, which weighed 2 pounds altogether.
⦁ They bought two more tomatoes than green peppers.
How many cucumbers did they buy?

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20. The following is a representation of a 3-dimensional shape, made up of cubes.

(a) Circle the shape that you would see if you were looking at it from A (from the front).

(b) Circle the shape that you would see if you were looking at it from B (from the right hand side).

(c) Circle the shape that you would see if you were looking at it from C,
(from above).

21. Three neighbouring families chose different holidays abroad this year.

Use the clues below to work out their house numbers their chosen destinations and the months during which they were away.

Clues:
1. The Browns, who don’t live at No. 8, went to Spain.
2. The Smiths took their holiday in June.
3. One family went to Potugal in July.
4. The Greens live at No. 6.

Name	House No.	Destination	Month
Brown
Green
Smith

22. A rectangle has an area of 60 \[cm^{2}\] . Its length is 11cm more than its width.

What is the perimeter of the rectangle?

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23. Here are four cards which you can use to make numbers:

Write down all the possible 4-digit even numbers you can make which are greater than 3000. Write your answers from smallest to biggest.

24. A child’s mobile (not phone!) is suspended from a ceiling and has some weights suspended so that each bar is balanced as shown.

Fill in the weights that are missing.

25. A bus started off from a bus station with 24 people.

At the lust stop 4 people got off and some people got on.
At the second stop, no one got off but 3 people got on.
There were then 34 people.

How many people got on at the first stop?

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26. Hayfield School girls’ football team played Greentops School at home last week. The final score was 3:1. (The home team is listed first.)

Below is a list of possible half time scores, but one has been missed out.
Can you find it?

2:1 0:0 2:0 1:1

3:0 3:1 1:0

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27. The Jones children take their dogs for a walk.
There are 3 times as many dogs as children.
The total number of legs is 56. How many Jones children are there?

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28.

Twelve rectangles, all the same size, are arranged to make a square, as shown in the diagram above.

Calculate the area of one of the rectangles.

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29. Fill in the missing digits in this multiplication:

3
X 7

3 6

30. Enter the numbers 2, 3, 4, 7, 8 into the boxes on the shape according to the following rules:

(a) All 3 numbers in the triangle are even

(b) The total of the 4 numbers on the square is 22.

(c) The total of numbers on the left hand edge of the square is equal to the total of numbers on the right hand edge.

(d) The number in the bottom left hand comer of the square is greater than the number in the bottom right hand corner.

31. Use the fact that 742 x 36 = 26712 to work out these sums:

742 x 360 =

26712 ÷ 36 =

742 x 72 =

743 x 36 =

32. Bernard thinks of a number.
When the number is divided by 2, the remainder is 1.
When the number is divided by 3, the remainder is 2.
When the number is divided by 4, the remainder is 3.
When the number is divided by 5, the remainder is 4.
It is less than 80. What is the number?

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33. The second pattern has four small squares and is made from six lines.
How many lines are needed to draw 64 small squares?

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34. On the planet Nodnol, the natives have a special sort of arithmetic using the symbol *.

3 * 4 means add 3 and 4 and then add on the product of 3 and 4, so 3 * 4 = 3 + 4 + ( 3 x 4 ) = 19

(a) Find the value of 5 * 7

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(b) Find the value of 2 * \[\frac{1}{2}\]

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(c) If x * 2 = 23, what number is x ?

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(d) If n * n = 99, what number is n?

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35. A bat ate 1,050 mosquitoes in four nights.
Each night she ate 25 more than the night before.
How many did she eat on the fast night?

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36. A box of chocolates contains 24 chocolates. Each chocolate is either milk chocolate or dark chocolate. All the chocolates have centres, which are either toffee or nut (not both).

There are 5 milk chocolates with a nut centre. There are 10 dark chocolates altogether, and 15 toffees altogether.

How many dark chocolate toffees are there?

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37. Ten girls live in ten different houses.

The boxes on the diagram represent the girls’ houses.

The lines joining the houses show that the two girls from these houses have met.

The girls that have met are:
Ella and Alison Hiba and Justyna
Dee and Fiona Justyna and Gita
Gita and Bella Ingrid and Hiba
Alison and Justyna Hiba and Alison
Crystal and Ingrid Dee and Hiba
Ingrid and Dee Crystal and Ella

Put the first letter of the girl’s name in the correct house.

38. (a) A school gate can be opened using the correct combination of digits in the correct order.
When 418 is tried, one digit is wrong.
When 238 is tried, one digit is wrong.
When 437 is tried, one digit is still wrong.

What is the correct combination?

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(b) Another school gate needs the correct combination of four digits in the correct order.
When 5648 is tried, two digits are wrong
When 3628 is tried, two digits are wong
When 3147 is tried, two digits are wrong
When 5629 is tried, two digits are still wrong
When 1258 is tried, ay the digits are wrong.

What is the correct combination of digits?

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39. A sweet is in the shape of a cube. It is made up of three layers of equal thickness, as shown in the diagram.

What fraction of the outside is black?

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40. Jane is trying to work out the weights of some shapes. She knows that the weights are whole numbers less than 10kg. The pictures show what Jane kinds out. For example, picture (1) shows that the square is heavier than the circle.