Free Printable Year 9 Interhouse Competition

1.

In the number 3, 567, what place value is the 5 in?

a)

3,000

b)

7

c)

500

d)

60

2.

How many f’s are in the box below?

a)

6 F's

b)

7 F's

c)

8 F's

d)

9 Fs

3.

What is 1,457,011 rounded to

the nearest ten thousand?

a)

1,450,000

b)

1,460,011

c)

1,460,000

4.

If 5 people shake hands with each other once, how many handshakes will there be? (the handshake between 2 people counts as one handshake)

a)

9 handshakes

b)

10 handshakes

c)

11 handshakes

d)

12 handshakes

5.

Multiply the number of colours in the British flag by the number of colours in the Canadian flag

a)

6

b)

8

c)

9

d)

10

6.

A plane leaves Sydney at 10 pm on a Tuesday and flies to London. If the flight takes 27 hours and the time in London is 9 hours behind (earlier) Sydney, what is the time and day in London when the plane lands?

a)

4 pm Wednesday

b)

4 am Wednesday

c)

4 pm Thursday

d)

4 am Thursday

7.

If 12 people take 6 days to build 2 identical walls, how long will it take 4 people to build one wall?

a)

7 days

b)

8 days

c)

9 days

d)

10 days

8.

A frog is at the bottom of a 11 metre deep well.

Each day the frog can climb up 3 metres, but at night when the frog gets tired, it falls back down 1 metre.

On which day does the frog finally climb out of the well?

a)

4th day

b)

3rd day

c)

6th day

d)

5th day

9.

John can eat a sixth of a pizza in two minutes. It takes 3 minutes for Billy to eat one quarter of the same pizza. If John and Billy start eating one pizza each, who will finish first?

a)

Bob

b)

John

c)

Same time

d)

Neither - both will get sick from too much pizza.

10.

Four people are suspected of stealing a diamond from a museum. Each make two statements. If one of their statements is true, and one is false, who is the thief?

Bo said: It was Bo. It wasn't Roman.

Roman said: It was Kate. It wasn't Bo.

John said: It was Roman. It wasn't Kate.

Kate said: It was John. It was Bo.

a)

John

b)

Bo

c)

Roman

d)

Kate

11.

What is the maximum number of triangles in this picture?

a)

33

b)

34

c)

36

d)

37

12.

Using the numbers 1, 9, 9 and 6 in this order and any of the operations $+,\ -,\ \times,\ \div,\ \sqrt{ }$ , which of the following is a number sentence that equals 28. Remember the order of operations!

a)

$9\times\sqrt{9}+6-1$

b)

$9\div\sqrt{9}\times6\ +1$

c)

$1\times9+\sqrt{9}+6$

d)

$19+\sqrt{9}+6$

13.

What is 17,967 rounded to the

nearest ten thousand?

a)

18,000

b)

18,070

c)

20,000

d)

180,000

14.

A boy has as many sisters as brothers and his sister has half as many sisters than brothers. How many boys and girls are in the family?

a)

2 boys and 3 girls

b)

4 boys and 3 girls

c)

5 boys and 3 girls

d)

3 boys and 3 girls

15.

Which of the following is correct if you were to put a math symbol between 2 and 3 to get a number bigger than 2 and smaller than 3.

a)

$\div$

b)

$\times$

c)

$\cdot$

d)

$\ge$

16.

Each letter below (A,B, C, D, E) represents one of the digits 1, 2, 3, 4 and 5.

Which of the following is correct if you write out the expression, replacing the letters with their respective numbers.

AB $\times$ C = DE

a)

$13\times4=52$

b)

$12\times3=54$

c)

$12\times4=35$

d)

it is not doable

17.

A swimming pool is 6 feet wide, 8 feet deep, ad 10 feet long. What is the volume

a)

480 ft cubed

b)

380 ft cubed

c)

430 ft cubed

d)

511 ft cubed

18.

If $x\times y=x^y+y^x-2xy$ find the value of $2\times3$

a)

10

b)

5

c)

4

d)

1

19.

Which of the following 2 scrambled words relate to consumer arithmetic:

a)

IVNISOID DMIELCAS

b)

ILKE RTEMS

c)

RNNOEDIOCPSGR GENALS

d)

CIADONEPRETI TERNESIT

20.

a)

y=3x-1

b)

y=4x+2

c)

y=2x+5

d)

y=4x-1

21.

Find two numbers x and y that satisfy

$x+y=-5$

$xy=-24$

a)

x = -2 and y = 3

b)

x = 4 and y = 6

c)

x = -8 and y = 3

d)

x = 5 and y = 4

22.

What is the 10^th number in this series?

1, 2, 3, 6, 11, 20, 37, 68, ____ , _____

Hint: similar to the Fibonacci sequence.

a)

105

b)

125

c)

230

d)

423

23.

How many minutes are in one week?

a)

10,080 minutes

b)

11,200 minutes

c)

13,420 minutes

d)

14,060 minutes

24.

a)

12

b)

10

c)

8

d)

7

25.

a)

1 6 4 4 6 1

b)

1 4 6 6 4 1

c)

1 6 10 10 6 1

d)

1 5 10 10 5 1

26.

Which expression shows 10 more than the "quotient" of 72 "divided" by 8?

a)

b)

c)

none of them

d)

27.

Add together the number of sides a trapezium and a hexagon have and subtract the lines of symmetry a rectangle has?

a)

8

b)

6

c)

4

d)

10

28.

If $750\ \times45\ =\ p$ then $750\ \times44\ =$

a)

p - 45

b)

p - 750

c)

p - 1

d)

44p

29.

How many days would there be in 2020 if April hadn't existed?

a)

334

b)

337

c)

335

d)

336

30.

It was $24\degree C$ on Tuesday and the temperature is dropping by $5\degree C$ every day. On what day of the week will the temperature first hit a negative?

a)

Saturday

b)

Sunday

c)

Monday

d)

Tuesday

31.

What does XXXIV represent in Roman numerals?

a)

36

b)

34

c)

46

d)

44

32.

What am I?

I am a two digit number

The number minus the sum of its digits is 36. The sum of the digits plus the product of the digits equals 39.

a)

27

b)

47

c)

31

d)

34

33.

Which of these is NOT a surd?

a)

$\sqrt{4}$

b)

$\sqrt{5}$

c)

$\sqrt{10}$

d)

$\sqrt{2}$

34.

A jogger runs the one kilometre from her home to the shop at 12 km/h. When she gets there she finds it closed and walks back home at 4 km/h.

What is her average speed?

a)

6 km/h

b)

7 km/h

c)

8 km/h

d)

10 km/h

35.

a)

5/10

b)

5/12

c)

5/14

d)

5/16

36.

Which of the following graphs matches this equation

Y=4x+2

a)

b)

c)

d)

37.

There is a water-cask with three different water-taps. With the smallest tap, the water-cask can be filled in 20 minutes. With the middle tap, the water-cask can be filled in 12 minutes. With the largest tap, the water-cask can be filled in 5 minutes.

How long does it take to fill the water-cask with the three taps together?

a)

1 min

b)

2 min

c)

3 min

d)

4 min

38.

I can ride my bike 3 times as fast as Anna can jog. Anna starts 40 minutes before me and then I chase her.

How long does it take me to catch Anna?

a)

10 minutes

b)

15 minutes

c)

20 minutes

d)

25 minutes

39.

The data distribution has a minimum value of 13, a maximum value of 42, a median of 37, a first quartile value of 23, and a third quartile value of 40. Which box plot shows this?

a)

b)

c)

d)

40.

Find the value of the ?

a)

5

b)

3

c)

8

d)

4

41.

A piece of string is 40 cm long. It is cut into three pieces. The longest piece is 3 times as long as the middle-sized piece and the shortest piece is 23 cm shorter than the longest piece. Find the lengths of the three pieces.

a)

21 cm, 12 cm, 7 cm

b)

20 cm, 14 cm, 6 cm

c)

24 cm, 8 cm, 8 cm

d)

27 cm, 9 cm, 4 cm

42.

Jenny said that the number that best represented the following set of data is 27. Which measure of center is he referring to?

28, 32, 21, 25, 33, 32, 20, 26

a)

mean

b)

median

c)

mode

d)

all of the above

43.

The circle has AB as diameter and centre C. What are the co-ordinates of A?

a)

(-2, 5)

b)

(-4, 2)

c)

(-3, 3)

d)

(-1, 4)

44.

a)

432

b)

324

c)

234

d)

342

45.

How do you spell Mr D's and Mr P's surnames?

a)

Mr Dialetakis & Mr Pirshel

b)

Mr Dialetakis & Mr Pirschel

c)

Mr Dialekakis & Mr Pirshel

d)

Mr Dialektakis & Mr Pirschel

Year 9 Interhouse Competition

Total questions: 45

Worksheet time: 2hrs 13mins

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