Master mind , Year 9, 300604

1
Master mind , Year 9, 30/06/04
Consumer 1
Rationals 1
Measurement 1
Equations 1
Mystery 1
Quadratics 1
Consumer 2
Rationals 2
Measurement 2
Equations 2
Mystery 2
Quadratics 2
Consumer 3
Rationals 3
Measurement 3
Equations 3
Mystery 3
Quadratics 3
Consumer 4
Rationals 4
Measurement 4
Equations 4
Mystery 4
Quadratics 4
Consumer 5
Rationals 5
Measurement 5
Equations 5
Mystery 5
Quadratics 5
Consumer 10
Rationals 10
Measurement 10
Equations 10
Mystery 10
Quadratics 10
2
The END

• Have a good holiday
• Catch up on any missing work
• Summarise your work

3
RULES

• The group that answered the last correct question
  picks the category and dollar amount
• All groups are able to have ONE attempt at each
  question.
• The groups first answer will be accepted.
• Answers will be taken in the order that the
  teacher sees hands go up
• The answer needs to be supplied within 3 seconds
  of the hand going up or another group will be
  selected
• Answer from more than 1 group may be taken for a
  particular question
• ONLY the first correct answer will be awarded the
  dollar amount of the question
• All incorrect answers will lose half the dollar
  amount.

4
Rationals, 1
Round 856 748 962 off to 3 significant figures.
857 000 000
5
Rationals, 2
6
Rationals, 3
Evaluate 42?67 of 7?38
0?4267 7?38 3?149046 3?15
7
Rationals, 4
Divide 42 into the ratio 59.
Plus, Divide, Times method 1) Add all of the
terms 5 9 14 2) Divide the number by the
answer from step 1 42 14 3 3) Multiply the
answer from step 2 by each term. 3 5 15 3
9 27 4) Check 15 27 42 5) Answer the
question 1527
8
Rationals, 5
Write TWO fractions that add to give

9
Rationals, 10
The ratio of A to B is 45. The ratio of C to B
is 67. What is the ratio of ABC.
AB 45 and BC 76 AB 2835 and BC
3530 ? 283530
10
Consumer arithmetic, 1
How much interest does Anna get if she invests
4000 at 6pa for 3 years?
I PRN I 4000 0?06 3 I 720
11
Consumer arithmetic, 2
Jessica invested 9000 at 6?1pa compounded
annually for 15 years. How much money does she
have at the end of 15 years?
A P(1 r)n 9000(1 0?061)15 21
876?27
12
Consumer arithmetic, 3
Rosa the real estate agent earns 250 per
fortnight plus her commission on all sales. She
receives no commission on the first 100 000, 1
on the next 150 000 and 1?5 on the balance. How
much does Rosa earn if in a fortnight she sells
houses to the value of 220 000.
220 000 100 000 120 000 120 000 0?01
1200 1200 250 1450
13
Consumer arithmetic, 4
Krystal earns 13?04 per hour and an additional
1?27 per hour if she is working in confined
spaces. How much does Krystal earn if she works
for 7 hours, three of which were in a confined
space?
13?04 7 91?28 1?27 3
3?81 91?28 3?81 95?09 Or 13?04
7 1?27 3 95?09
14
Consumer arithmetic, 5
Calculate the tax owed on an income of 45 000
45 000 20 000 25 000 25 000 0?36
9000 9000 2800 11 800 Or (45 000 20
000) 0?36 2800 11 800
15
Consumer arithmetic, 10

• Bianca buys a Don Bradman cricket bat for 11
  000. She pays 1500 deposit the balance over 3
  years at 16 flat interest.
• Calculate the amount Bianca borrows.
• Calculate the interest she pays.
• What was the total amount Bianca still has to pay
  for the bat?
• What are her monthly repayments?

a) 11 000 1500 9500 b) I PRN I 9500
0?16 3 I 4560
c) 9500 4560 14 060 d) 14060 36 390?56
per month.
16
Equations, 1
4a 3 17
3 3 4a 20 4
4 a 5
17
Equations, 2
2c 4(3 5c) 7 (3c 6)
Solve.
Expand
2c 12 20c 7 3c 6
Collect
22c 12 13 3c
(3c)
25c 12 13
(12)
25c 25
(25)
c 1
18
Equations, 3
Solve.
5 3c gt 11
(5)
3c gt 6
(3)
Remember Change the direction of the inequality
sign
c lt 2
19
Equations, 4
C2 A2 B2, if C 17 when A 8, find B.
B 15
20
Equations, 5
Which tile will be the 64th in this pattern?
Arrow
21
Equations, 10
v 2½
22
Measurement, 1
State the precision of 234m
1m
23
Measurement, 2
State the absolute error of 234?56m
0?005m
24
Measurement, 3
State the limits of accuracy of 234?5m
234?5 0?05 ? 234?45m and 234?55m
25
Measurement, 4
State the percentage error of 2?3 102m to 3
significant figures.
26
Measurement, 5
Bianca wants to fence her paddock. If the fencing
costs 42 per metre how much does Bianca spend n
fencing?
P 2 (14 15) 58m
Cost 42 58 2436
27
Measurement, 10
Convert 0?036m3 to cm3.
1m3 100cm 100cm 100cm 1 000
000cm3 0?036m3 0?036 1 000 000 36 000
28
Quadratics, 1
Expand and simplify (2d 7)(3d 5)
(2d 7)(3d 5)
6d2 10d 21d 35 6d2 11d 35
29
Quadratics, 2
Fully factorise 2x 2y ax ay
2x 2y ax ay
2(x y) a(x y)
Take out a negative factor
(x y)(2 a)
30
Quadratics, 3
Fully factorise 45x2 80y4
45x2 80y4
5(9x2 16y4)
3(3x 4y2)(3x 4y2)
31
Quadratics, 4
Factorise 12x2 5x 2
No common factor.
Write two sets of brackets etc.
8 3

Add the appropriate signs Here, largest is
positive and the signs are different
Multiply the leading coefficient and the
constant term Here, 12 2 24
Two numbers that multiply to give 24 and
subtract to give 5
Factorise each term
Simplify
32
Quadratics, 5
Fully factorise a3 2a2 4a 8
a2(a 2) 4(a 2) (a 2)(a2 4) (a
2)(a 2)(a 2) (a 2)2(a 2)
a3 2a2 4a 8
33
Quadratics, 10
Simplify
34
Mystery, 1
What is the y-intercept of the line y 2x 5?
Using y mx b, remembering that b is the
y-int The y-int of y 2x 5 is 5.
35
Mystery, 2
Find the distance travelled in 1min 20s at 13m/s
80 13 1040m 1?04km
36
Mystery, 3
What is the 10th Fibonacci number?
1, 1, 2, 3, 5, 8, 13, 21, 34,
55
37
Mystery, 4
Mr Jones is five times as old as his son and was
36 years old when his son was born. How old is Mr
Jones?
Son is x years old. Mr Jones is x 36 years
old. Mr Jones is five times as old as his son, ?x
36 5 x x 36 5x 4x 36 x
9 How old is Mr Jones? x 36 9 36
45 years old
38
Mystery, 5
Caitlin has averaged 18 points in her last 5
basketball games. What does she need to average
in her next two games to raise her overall
average to 20 points per game?
Want 20 7 140 Scored 18 5 90 Need 140
90 50 Average 50 2 25
39
Mystery, 10
What is the next term in the pattern O, T, T, F,
F?
O (one), T (two), T (three), F (four), F
(five) ?S, for six.