1. Mathstermind

2. 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

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

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

5. 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

6. 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

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

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

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

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

11. 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

12. 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

13. 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

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

15. B Solve Algebra 2 𝑥 2 −4𝑥+2=0 x = -3.41 or -0.586 x = 3.41 or 0.586 AC
x = ±2

16. 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

17. 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

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

19. 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

20. 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

21. 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)

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

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

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

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

26. 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

27. 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)

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

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

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

31. 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

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

33. 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

34. 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

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

36. 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

37. 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

38. 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

39. Data 1 Male Female First Year 399 602 Second Year 252 19820 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?

40. 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

41. 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

42. 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, , 1, 1 B
20, 50, 65, 75, 80 C
4, 3, 1.5, 1, 1
Complete the table

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

44. 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

45. 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

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

47. 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

48. 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

49. 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