THE PERSE SCHOOL Paper 1

Welcome to your THE PERSE SCHOOL Paper 1

1. Write the missing number in the space provided.

56 ÷ = 8

2. Here is a number sequence. Write in the missing number.

3 6 10 15

3. The diagram below shows a triangle [not drawn to scale].

Calculate each of the angles marked x and y.

Answer: x=

y=

4. Change 0.72 to a fraction leaving your answer in its simplest form

Answer:

5. Calculate each of the following

(a) 3-2 \[\frac{5}{9}\]

Answer:

(b) 2+4 x \[\frac{3}{5}\]

Answer:

6. My garden centre sells Summer bedding plants at 85p each. I have £30 to spend. How many plants can I buy? Show your working.

Answer:

7. Write in what the two missing digits could be:

34 + 97 = 631

8. Brian has 7 dominoes in a bag. He takes out one domino and finds the total of the two numbers. He then puts the domino back in the bag. His 7 dominoes are shown below, together with a graph of his results after doing this experiment 100 times.

(a) Explain why the total 7 never came up.

Answer:

(b) Explain why the total of 6 came up most often.

Answer:

9. Write in the missing numbers to each of the following:

(a) 93 - - 18 = 36

(b)( 8 + ) x 7 = 91

10. Which of the following fractions is closet to \[\frac{1}{4}\]

\[\frac{11}{40}\] \[\frac{16}{60}\] \[\frac{21}{80}\] \[\frac{26}{100}\] \[\frac{31}{120}\]

Answer:

11. Susan is making a necklace of beads, using red and yellow beads in the ratio 2 : 3. She has 56red beads altogether.

How many yellow beads will she need:

Answer: yellow beads

How many beads will she use altogether?

Answer: beads

12. The three numbers missing from these boxes are all prime numbers. Write in the missing numbers.

X X = 385

13. Brian is looking at the schedule of TV programmes for that evening.

Brian watches the film on ITV but after 1/2 an hour he changes channel to BBC 1. What is showing on BBC 1 when he changes channel?

Answer:

The Drama on BBC 1 lasts for 1 hour and 40 minutes. At what time does it end?

Answer:

14. Make a list of all the whole numbers which leave a remainder of 7 when divided into 46.

Answer:

15. The charge £C made by a caterer for arranging a birthday party for n people is given by theformula:

C = 3n +40

(a) What is the charge, in £, for a party of 20 people?

Answer: £

(b) What is the average cost per person for a party of 20 people?

Answer: £

16. Study the graph below:

The co-ordinates of A, B and C are: A (3 , 1) ; B (6 , 2) ; C (12 , 4)

The value of D (not shown) also lies on this line. If D is (15 , a), what is the value of a?

Answer: a =

E is another point (not shown) o this line and E is (b , 8).

What is the value of b?

Answer: b =

If (p , q) is another point on this same line, write down a relationship (equation) between p and q.

Answer:

17. Find the value of each of the following:

(a) 68.9 + 9.86

Answer: (a)

(b) 321 - 268

Answer: (b)

(c) 391 x 7

Answer: (c)

(d) 656 ÷ 8

Answer: (d)

18. Brian starts with 1000 and subtracts 11 each time. The first four numbers in his sequence are:

1000, 989, 978, 967

If he continues in this way, what will be the first negative number in his sequence?

Answer:

19. Find the missing numbers so that the answer is always 56