Mathletics QuizMathletics Quiz

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Jasamrit SinghJasamrit Singh

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80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below.

BBC 1BBC 1 ITVITV CH 4CH 4 TotalTotal

MaleMale 1616 99 3030

FemalFemalee

1010 2020

TotalTotal 8080

80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below.

BBC 1 ITV CH 4 Total

Male 16 9 30

Female

10 20

Total 80

5

5020

2926 25

Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers?

900900 540540

22 x 32 x 52 22 x 33 x 5

Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers?

Both numbers are divisible by 22, 32 and 5. So the HCF = 22 x 32 x 5 = 180

900900 540540

22 x 32 x 52 22 x 33 x 5

180

$140.00

A portable television has 15% off its original price and is on offer in a shop for $140. What was the original price of the television? (nearest $)

$165

If p is the original price of the television then:

0.85p = 140 p = 140/ 0.85 = 165

£140.00

A portable television has 15% off its original price and is on offer in a shop for £140. What was the original price of the television? (nearest £)

0 1 2 3 4 5 6-1-2-3-4-5-6

What is the inequality shown on the number line below? (Use n as the variable)

What is the inequality shown on the number line below? (Use n as the variable)

0 1 2 3 4 5 6-1-2-3-4-5-6

Full circles include the number.

Open circles exclude the number.

Remember:

whereas:

-3 < n 3

ab

The shape below is a regular hexagon. Calculate the angles shown.

ab

The shape below is a regular hexagon. Calculate the angles shown.

Angle a = 60o Angle b = 120o

Exterior angle (a) = 360/6 = 60o

Interior angle (b) = 180 - 60 = 120o

Here is an old recipe for savoury oat cakes for 4 people. How much self raising flower would be needed in a recipe for 20 people?

150 g oatmeal

80 g self raising flour

50 g grated cheese

30 g margarine

10 ml yeast extract

40 ml of boiling water

150 g oatmeal

80 g self raising flour

50 g grated cheese

30 g margarine

10 ml yeast extract

40 ml of boiling water

20 = 5 x 4

So

5 x 80 g = 400 g

Here is an old recipe for savoury oat cakes for 4 people. How much self raising flower would be needed in a recipe for 20 people?

400 g

109876543212019181716151413121130292827262524232221403938373635343332315049484746454443424160595857565554535251706968676665646362618079787776757473727190898887868584838281100999897969594939291

How are the numbers in red related to each other?

109876543212019181716151413121130292827262524232221403938373635343332315049484746454443424160595857565554535251706968676665646362618079787776757473727190898887868584838281100999897969594939291

How are the numbers in red related to each other?

They are all prime numbers.

7n + 2

3n - 1

The heights of the Russian dolls are measured in cm. Find the difference in their heights.

4n + 3 7n + 2

3n - 1

The heights of the Russian dolls are measured in cm. Find the difference in their heights.

7n + 2 - (3n - 1) = 7n + 2 - 3n + 1 = 4n + 3

A

B C

D

Which shapes below are enlargements of

shape A?

A

B C

Which shapes below are enlargements of

shape A?

D

A survey of 120 students asked how they arrived at school one morning. The results are shown in the pie chart.

How many of these students came to school on a bus?

3/8 of 120 = 45

A survey of 120 students asked how they arrived at school one morning. The results are shown in the pie chart.

How many of these students came to school on a bus?

45

Caramel

Milk Chocolate

Strawberry

Beaky offered Prof one of her chocolates from the box. Prof chose one at random. What is the probability that he did not choose a milk chocolate flavour?

Caramel

Milk Chocolate

Strawberry

9/14

9 of the chocolates are not milk chocolate flavoured out of a total of 14 chocolates.

Beaky offered Prof one of her chocolates from the box. Prof chose one at random. What is the probability that he did not choose a milk chocolate flavour?

A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.2 calculate the mean score for the girls.

7.2 ?

7.2 ?

Total marks scored on test = 30 x 7.5 = 225

Marks for girls 225 - 16 x 7.2 = 109.8

Mean for girls 109.8/14 = 7.8

A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.2 calculate the mean score for the girls.

7.8 (1 dp)

Estimate the size of the angle shown.

a

Estimate the size of the angle shown.

160o

a

Room Only Bed and Breakfast Half Board

No of Nights 7 14 7 14 7 14

March 200 240 225 290 295 430

April 220 260 245 310 315 450

May 240 280 265 330 335 470

June 260 300 285 350 355 490

July 300 400 325 445 395 585

August 350 500 375 550 445 690

The table shows prices in £’s for staying at a guest house in Cornwall between March and August. How much more do you pay for 14 nights Bed and Breakfast in August than in June?

Room Only Bed and Breakfast Half Board

No of Nights 7 14 7 14 7 14

March 200 240 225 290 295 430

April 220 260 245 310 315 450

May 240 280 265 330 335 470

June 260 300 285 350 355 490

July 300 400 325 445 395 585

August 350 500 375 550 445 690

The table shows prices in $’s for staying at a guest house in Tauranga between March and August. How much more do you pay for 14 nights Bed and Breakfast in August than in June?

$200

The cards below are shuffled before being turned over one at a time and placed side by side as shown. In how many different ways can the cards be ordered?

JQK, JKQ, QJK, QKJ, KJQ, KQJ 6

The cards below are shuffled before being turned over one at a time and placed side by side as shown. In how many different ways can the cards be ordered?

The aeroplane below is a scale model of a jumbo jet. The scale used is 1: 250. How long is the real aeroplane?

28 cm

70 m250 x 28 = 7000 cm

The aeroplane below is a scale model of a jumbo jet. The scale used is 1: 250. How long is the real aeroplane?

28 cm

17 18 19 20

22

27

23

28

2421

2625

I am one of a kind, being trapped between a square number and a cube number. Who am I?

17 18 19 20

22

27

23

28

2421

2625

I am one of a kind, being trapped between a square number and a cube number. Who am I?

26 sits between 52 and 33. About 200 years ago the Swiss mathematician Leonhard Euler proved that there is no other number that is 1 more than a square and 1 less than a cube.

Trapezium

Kite

Square

Only one of the quadrilaterals shown has rotational symmetry of order 2. Which one?

Parallelogram

Kite

Square

Parallelogram

Only one of the quadrilaterals shown has rotational symmetry of order 2. Which one? Trapezium

Walk Bus Bike Car

4

8

12

16

20

The bar chart shows how some children came to school on Monday morning. What percentage of pupils came by bus?

Walk Bus Bike Car

4

8

12

16

20

The bar chart shows how some children came to school on Monday morning. What percentage of pupils came by bus?

14 28%

14/50 = 28/100

Jenny has a bag containing an unknown number of beads. The beads are coloured red, green and blue. The probability of Jenny selecting a red or green bead is 0.36

What is the probability of Jenny selecting a blue bead?

Jenny has a bag containing an unknown number of beads. The beads are coloured red, green and blue. The probability of Jenny selecting a red or green bead is 0.36

What is the probability of Jenny selecting a blue bead?

P(blue)

= 1 - P(red or green)

0.64

2 5 3

107 0

1 6 4

?

Input Output

Calculate the Rule for this input/output table.

10 22 14

4230 2

6 26 18Rule

2 5 3

107 0

1 6 4

Input Output

Calculate the Rule for this input/output table.

Rule

x 4 + 210 22 14

4230 2

6 26 18

2n - 3

Input Output

Rule

Calculate the input values from the given output values.

9 15 7

4519 21

17 11 13

Input Output

2n - 3

Rule

9 15 7

4519 21

11 13

Apply the inverse rule to each output value.

Add 3 then halve.

17

6 9 5

2411 12

10 7 8

Red Blue White Silver Black

20 14 10 28 8

Prof did a survey about the colour of cars passing underneath a motor way bridge. He recorded the information in the table below. (a) Estimate the probability that the next car to pass underneath the bridge will be silver. (b) How many black cars would you expect if 300 cars passed underneath the bridge?

Prof did a survey about the colour of cars passing underneath a motor way bridge. He recorded the information in the table below. (a) Estimate the probability that the next car to pass underneath the bridge will be silver. (b) How many black cars would you expect if 300 cars passed underneath the bridge?

(a) Since the table shows a total of 80 cars and 28 are silver, we can use this relative frequency, 28/80 as an estimate for the probability of the next car being silver.

(b) 8/80 = 1/10 and 1/10 of 300 = 30.

RedRed BlueBlue WhiteWhite SilverSilver BlackBlack

2020 1414 1010 2828 88

(a) 28/80 =7/20 (b) 30

Simplify the fractionSimplify the fraction

2 + 4 + 6 + … + 1002 + 4 + 6 + … + 100

3 + 6 + 9 + … + 1503 + 6 + 9 + … + 150

2 / 32 / 3

What is whole number n in the What is whole number n in the equality:equality:

332n-12n-1 = 243 = 243

n = 3n = 3

Knowing that Knowing that

x 3x 3

4 y4 y

evaluateevaluate

xx22yy22 - 44 - 44

=

100100

Find a,b,c as whole numbers to check Find a,b,c as whole numbers to check the relationshipthe relationship

a + 1 b + 2 a + 1 b + 2 5 5

4 3 c + 34 3 c + 3= =

a = 3, b = 1, c = 2a = 3, b = 1, c = 2

Three shops sell notebooks at the same Three shops sell notebooks at the same price. The first shop increased the price. The first shop increased the price by 20% and then decreased the price by 20% and then decreased the price by the same percentage. The price by the same percentage. The second shop decreased the price by second shop decreased the price by 20% and then increased the price by 20% and then increased the price by the same percentage. The third shop the same percentage. The third shop left the price unchanged. Where would left the price unchanged. Where would you buy your notebook from and why?you buy your notebook from and why?

One of the two shops that changed the One of the two shops that changed the price, the shop that did not change price, the shop that did not change the price is the most expensivethe price is the most expensive