Mathstermind

Rules 4 teams – you choose 5 points for a correct answer Points will be deducted for poor behaviour/ interrupting the answering team If you pass on a question, it will be open to ALL teams except the one who passed. All teams will have 1 whiteboard and will write their answer. If it is correct they will get a reduced score of 3 points. If you want a “lifeline” this will cost you: 2 points for 1 answer removed 3 points to ask for a hint

Tie Breaker Question Number 1 2 3 4 5 6 7 8 9 10 Algebra Shape Data

Number 1 M is directly proportional to L3. When L = 2 M = 160 Find M when L = 3. 540 A 27 B 240 C

Number 2 Q is inversely proportional to the square of t. When t = 4, q = 8.5 Find q when t = 5 10.625 A 25 B 5.44 C

Number 3 Work out: 4×10 3 8×10 −5 Give your answer in standard form 5 x 107 A 2 x 108 B 0.5 x 108 C

Number 4 4x = 1 16 What is x? 2 A -2 B 0.5 C

Number 5 Rationalise the denominator: 1 8 8 √2/√32 A √1/16 B √2/32 C

Number 6 60 = 100 1 2 = 8 − 1 3 = 1, 10, 1/2 A 6, 50, 2 B 1, 10, 2 C

A B C Number 7 Convert 0.7 0 1 to a fraction 701/999 347/495 70101/99999 C

A B C Number 8 LB = 328ml UB = 335ml LB = 1300ml UB = 1355ml 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 = 335ml A LB = 1300ml UB = 1355ml B LB = 325ml UB = 339ml C

Number 9 Nathan got a pay rise of 5%. His new pay is £1680 a month. Work out his pay before his pay rise. £1675 A £1596 B £1600 C

Home 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? 8 A 7 B 9 C

Factorise A B C 4a2-3a-10 Algebra 1 (4a-5)(a+2) (4a+5)(a-2) 4( 𝑎 2 + 3 4 𝑎− 10 4 ) A (4a-5)(a+2) B (4a+5)(a-2) C

B Solve Algebra 2 𝑥 2 −4𝑥+2=0 x = -3.41 or -0.586 x = 3.41 or 0.586 A C x = ±2

Solve the following: 2x+3y=1 7x+8y=-4 Algebra 3 Solve the following: 2x+3y=1 7x+8y=-4 A x = 3 y = -4 B x = 4 y = -3 C x = -4 y = 3

Write this as a single fraction: 3𝑥 10 + 𝑥 5 Algebra 4 Write this as a single fraction: 3𝑥 10 + 𝑥 5 𝑥 2 A 4𝑥 15 B 3 𝑥 2 50 C

Algebra 5 Simplify 25− (𝑥−8) 2 4 (2+𝑥)(18−𝑥) 4 Correct answer only

Rearrange 1 𝑣 + 1 𝑢 = 1 𝑓 To make u the subject Algebra 6 Rearrange 1 𝑣 + 1 𝑢 = 1 𝑓 To make u the subject 𝑢= 𝑣𝑓 𝑓−𝑣 A 1 𝑢 = 1 𝑓 − 1 𝑣 B 𝑢= 𝑣𝑓 𝑣−𝑓 C

Algebra 7 Find the possible integer values for −3< 2−𝑥 3 ≤2 A -2 to 2 B -4 to 10 C -5 to 6

Algebra 8A Name the types of graph on the next 5 slides (1 point per graph) A Y=cos(x) B Y=tan(x) C Y=sin(x)

Algebra 8B Name the graph type A Y=cos(x) B Y=tan(x) C Y=sin(x)

Algebra 8C Name the graph type A Exponential B Reciprocal C Y=tan(x)

Algebra 8D Name the graph type A Cubic B Exponential C Y=tan(x)

Algebra 8E Name the graph type A Cubic B Exponential C Y=tan(x)

Algebra 9 L is parallel to the line of y=2x-3. It passes through the point (3,4). Find the equation of L. A Y=2x+3 B Y=2x-5 C Y=2x+4

Home Algebra 10 The 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. A Y=f(x-4) B Y=f(x+4) C Y=f(4x)

Shape 1 Find the missing side. Answers to 3sf. 10.1cm 7.8cm A 6.42cm B

Shape 2 Find the diagonal AG A B F C D 7cm 3cm H G 5cm A 3.87cm B

Shape 3 Find the missing angle A 22.0° B 70.0° C 20.6° 4.5cm x 12cm

Shape 4 Find the largest angle 4.2cm 5.3cm 7.6cm A 106.3° B 103.2° C 105.7° 4.2cm 5.3cm 7.6cm

Shape 5A Worth 2 points Convert 5m2 to cm2 A 50,000cm2 B 500cm2 C

Shape 5B Worth 3 points 2 cones are similar. Surface area P = 24cm2 Surface area Q = 96cm2 Height P = 4cm Volume P = 12cm3 Find the volume of cone Q A 24cm3 B 96cm3 C 48cm3

Shape 6 Find the volume of the Frustum B 𝑉= 1 3 𝜋ℎ( 𝑟 2 +𝑟𝑅+ 𝑅 2 ) A 5,100cm3 B 1,700cm3 C 6,807cm3 A 10cm 5cm 20cm B 15cm

Shape 7 Find angles u and t u O t 38o A T=48° U=96° B T=52° U=104° C

Shape 8 The triangle ABC has the following dimensions: a = 6cm b = 9cm Angle C = 25o Find the area of the triangle A 11.4cm2 B 22.8cm2 C 24.5cm2

𝑂𝑋 =2𝑎+𝑏 𝑂𝑌 =4𝑎+3𝑏 Express 𝑋𝑌 in terms of a and b Shape 9 𝑂𝑋 =2𝑎+𝑏 𝑂𝑌 =4𝑎+3𝑏 Express 𝑋𝑌 in terms of a and b A 2(a-b) B 2(a+2b) C 2(a+b) Y 4a+3b O 2a+b X

Shape 10 Home 𝑃𝑀 =4𝑝 𝑄𝑀 =𝑞 𝑀𝑅 =𝑝 𝑄𝑀 = 𝑀𝑆 Find an expression for 𝑃𝑄 Q q 4pq B 4p-q C 4p+q 4p p P M R Find an expression for 𝑃𝑄 S

Data 1 Male Female First Year 399 602 Second Year 252 198 20 B 27 C 19 The 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 2 80 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? A 5 B 6 C 3

Data 3 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 A 11kg B 7kg C 8kg

Data 4 20 30 15 10 5 Complete the table 0<w≤5 5<w≤15 15<w≤25 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 A 0.25, 0.3, 0.33.., 1, 1 B 20, 50, 65, 75, 80 C 4, 3, 1.5, 1, 1 Complete the table

Data 5 Use the box plot to find the median. A 8 B 18 C 2

Data 6 A point is chosen at random from inside the square below. What is the probability that this point is inside of the circle. 𝜋 2 A 1/8 B 𝜋 4 C

Data 7 A bag of sweets contains: 3 red sweets 2 green sweets 4 yellow sweets 2 sweets are taken from the bag at the same time. What is the probability that both sweets are red? A 1/6 B 1/12 C 1/3

Data 8 A 1/24 B 1/4 C 1/6

Data 9 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? A 7/90 B 7/30 C 7/15 B 6 9 7 10 B W B W W

Home Data 10 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) = 0.56 P(Y) = 0.28 P(Z) = 0.16 The probability the patient will not recover from each virus is: P(X) = 0.18 P(Y) = 0.22 P(Z) = 0.36 Find the probability the patient will recover. A 0.7816 B 0.2184 C 0.75

What is the world record for memorising digits of pi (π)? Tie-Breaker What is the world record for memorising digits of pi (π)? 67,890