Mathstermind

Rules

0 4 teams – you choose0 5 points for a correct answer0 Points will be deducted for poor behaviour/ interrupting

the answering team0 If you pass on a question, it will be open to ALL teams

except the one who passed. 0 All teams will have 1 whiteboard and will write their answer.

If it is correct they will get a reduced score of 3 points. 0 If you want a “lifeline” this will cost you:

0 2 points for 1 answer removed0 3 points to ask for a hint

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Algebra

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Tie Breaker Question

Number 1

•540A•27B•240C

M is directly proportional to L3. When L = 2 M = 160Find M when L = 3.

Number 2

Q is inversely proportional to the square of t. When t = 4, q = 8.5Find q when t = 5

• 10.625A• 25B• 5.44C

Number 3

Work out:

Give your answer in standard form

• 5 x 107A• 2 x 108B• 0.5 x 108C

Number 4

4x = What is x?

•2A•-2B•0.5C

Number 5

Rationalise the denominator:

• √2/√32A• √1/16B• √2/32C

Number 6

a) 60 = • 1, 10, 1/2A• 6, 50, 2B• 1, 10, 2C

Number 7

Convert to a fraction

• 701/999A• 347/495B• 70101/99999C

Number 8

A cylindrical can has a label saying “Contents 330ml” printed on it.It has a diameter of 6.5cm (to the nearest mm) and a height of 10.0cm (to the nearest mm).Find the lower and upper bounds of the volume of the can to determine of the label is accurate.

• LB = 328ml• UB = 335mlA• LB = 1300ml• UB = 1355mlB• LB = 325ml• UB = 339mlC

Number 9

Nathan got a pay rise of 5%. His new pay is £1680 a month.Work out his pay before his pay rise.

•£1675A•£1596B•£1600C

Number 10

Janet deposits £3000 into a bank account which pays compound interest of 4% per annum. She wants to leave it until there is at least £4000 in the account.How many years should she leave it?

•8A•7B•9C

Home

Algebra 1

Factorise4a2-3a-10

• 4A

• (4a-5)(a+2)B

• (4a+5)(a-2)C

Algebra 2

Solve • x = 3.41 or 0.586A

• x = -3.41 or -0.586B

•x = ±2C

Algebra 3

Solve the following:2x+3y=17x+8y=-4

•x = 3•y = -4A•x = 4•y = -3B•x = -4•y = 3C

Algebra 4

Write this as a single fraction:

𝑥2A

4𝑥15B

3𝑥

2

50C

Algebra 5

Simplify (2+𝑥

)(18−

𝑥)

4

Correct answer

only

Algebra 6

Rearrange

To make u the subject

𝑢=

𝑣𝑓𝑓

−𝑣

A

1𝑢=

1𝑓−

1𝑣

B 𝑢=

𝑣𝑓𝑣

−𝑓

C

Algebra 7

Find the possible integer values for •-2 to 2A

•-4 to 10B•-5 to 6C

Algebra 8A

•Y=cos(x)A•Y=tan(x)B•Y=sin(x)C

Name the types of graph on the next 5 slides (1 point per graph)

Algebra 8B

•Y=cos(x)A•Y=tan(x)B•Y=sin(x)C

Name the graph type

Algebra 8C

•ExponentialA•ReciprocalB•Y=tan(x)C

Name the graph type

Algebra 8D

•CubicA•ExponentialB•Y=tan(x)C

Name the graph type

Algebra 8E

•CubicA•ExponentialB•Y=tan(x)C

Name the graph type

Algebra 9

L is parallel to the line of y=2x-3.

It passes through the point (3,4).

Find the equation of L.

•Y=2x+3A•Y=2x-5B•Y=2x+4C

Algebra 10The graph below shows the function y=f(x).The point (0,0) has been translated to (4,0).Find an equation of the new curve.

•Y=f(x-4)A•Y=f(x+4)B•Y=f(4x)C

Home

Shape 1

Find the missing side. Answers to 3sf. •6.42cmA

•4.23cmB•1.52cmC

10.1cm

7.8cm

Shape 2

Find the diagonal AG•3.87cmA•9.11cmB•8.60cmC

7cm

5cm

3cm

A B

CDF

GH

Shape 3

Find the missing angle •22.0°A•70.0°B•20.6°C

4.5cm

12cm

x

Shape 4

Find the largest angle

•106.3°A•103.2°B•105.7°C

4.2cm5.3cm

7.6cm

Shape 5A

Worth 2 points

Convert 5m2 to cm2

•50,000cm2A•500cm2B•5,000cm2C

Shape 5B

Worth 3 points2 cones are similar.Surface area P = 24cm2

Surface area Q = 96cm2

Height P = 4cmVolume P = 12cm3

Find the volume of cone Q

•24cm3A•96cm3B•48cm3C

Shape 6Find the volume of the Frustum B

•5,100cm3A•1,700cm3B•6,807cm3C

𝑉=13𝜋 h(𝑟2+𝑟𝑅+𝑅2)

B

A

5cm

15cm

20cm

10cm

Shape 7Find angles u and t

•T=48°•U=96°A•T=52°•U=104°B•T=52°•U=26°C

O

38o

t

u

Shape 8

The triangle ABC has the following dimensions:a = 6cmb = 9cmAngle C = 25o

Find the area of the triangle

•11.4cm2A•22.8cm2B•24.5cm2C

Shape 9

Express in terms of a and b •2(a-b)A•2(a+2b)B•2(a+b)C

4a+3b

2a+b

O

Y

X

Shape 10

•4pqA•4p-qB•4p+qC

Home

P

Q

S

M R

q

p4p

Find an expression for

Data 1Male Female

First Year

399 602

Second Year

252 198

•20A

•27B

•19CThe table shows the number of students in 2 years at college.Mike wants to interview a random sample of 70 students.How many first year males should he interview?

Data 280 children went to London or York on a school trip.23 boys and 19 girls went to London.14 boys went to York.Penny wants to take a stratified sample of 20 students.How many girls who went to York should she ask?

•5A•6B•3C

Data 3

•11kgA•7kgB•8kgC

Here are the weights in kg of some young children.42, 40, 45, 47, 50, 48, 39, 47, 42, 50, 49

Find the Interquartile range of this data

Data 4

•0.25, 0.3, 0.33.., 1, 1A•20, 50, 65, 75, 80B•4, 3, 1.5, 1, 1C

Complete the table

Weight(w kg)

Frequency Frequency Density

0<w≤5 20

5<w≤15 30

15<w≤25 15

25<w≤35 10

35<x≤40 5

Data 5

Use the box plot to find the median. •8A

•18B•2C

Data 6A point is chosen at random from inside the square below.What is the probability that this point is inside of the circle.

𝜋2A

• 1/8B

𝜋4

C

Data 7A bag of sweets contains:• 3 red sweets• 2 green sweets• 4 yellow sweets2 sweets are taken from the bag at the same time.What is the probability that both sweets are red?

•1/6A•1/12B•1/3C

Data 8

•1/24A•1/4B•1/6C

Data 9

•7/90A•7/30B•7/15C

The tree diagram shows the probability of drawing a black or white counter from a bag. What is the probability of drawing one of each?

B

B

B

W

W

W

710

69

Data 10

•0.7816A•0.2184B•0.75C

Home

A Doctor has diagnosed a patient with a virus (either X, Y or Z). The doctor does not know which virus.The probability the patient has each virus is:P(X) = 0.56P(Y) = 0.28P(Z) = 0.16The probability the patient will not recover from each virus is:P(X) = 0.18P(Y) = 0.22P(Z) = 0.36Find the probability the patient will recover.

Tie-Breaker

What is the world record for memorising digits of pi (π)?

67,890