QAMT Yr 8 Quiz Round 1 2010 Sponsored by

Session 1: Estimation There will be 5 questions, each worth 1 point. After each question, there will be a time interval during which the teams may confer among themselves and write the answer on one of the sheets of paper provided. At the end of the allotted time, a gong will sound and each team must hold up its answer for the audience to see. The compère will then indicate to the scorer which teams have the correct answer. Calculators are NOT permitted. Units must be given when appropriate (half point penalty)

Session 1: Estimation A sheet will be handed to you with a Question 1 A sheet will be handed to you with a single circle drawn on it. Estimate the area in cm2 of the circle. Note that no rulers or calculators are permitted. Click to start the timer. You have 30 seconds…

Session 1: Estimation Time’s up! Hold up your answer… 14 30 17 13 16 11 9 10 18 12 15 27 19 29 28 26 25 20 21 22 23 24 2 1 3 8 7 6 5 4

Session 1: Estimation Answer: ** cm2 (accept 10% error)

Time’s up! 12 2 4 1 13 15 14 10 11 7 9 3 8 6 5 Hold up your answer… Session 1: Estimation Question 2 Estimate the time of this sound clip in seconds. (Note that watches must be covered.) Time’s up! Hold up your answer… 12 2 4 1 13 15 14 10 11 7 9 3 8 6 5 Click here to start the sound clip → Once the clip stops, you have 15 seconds…

Session 1: Estimation Answer: 23 seconds (accept 22-24 seconds)

Session 1: Estimation Question 3 Two people are identified within the room. To the nearest metre, what is the direct distance between these two people? Click to start the timer. You have 30 seconds… Time’s up! Hold up your answer… 10 11 9 13 8 12 5 2 1 3 4 6 14 7 17 26 25 27 28 30 29 24 23 18 16 19 20 22 21 15

Session 1: Estimation Answer: ** m (accept  1m)

Session 1: Estimation Question 4 On the following slide is a picture of a balloon release. You have also been given a hard copy of this picture. Estimate the number of balloons visible in the picture. Click to see the picture and start the timer. You have 30 seconds…

Time’s up! Hold up your answer… 9 8 10 12 13 7 11 6 2 1 3 4 5 14 15 25 24 26 27 29 28 23 22 17 16 18 19 21 20 30

Answer: 270 balloons (coloured in groups of 30) (accept 245-295)

Session 1: Estimation Question 5 Time’s up! Hold up your answer… Estimate the capacity (in mL) of this vase. Click to start the timer. You have 30 seconds… 10 9 11 13 8 12 5 2 1 3 4 6 14 7 17 26 25 27 28 30 29 24 23 18 16 19 20 22 21 15

Session 1: Estimation Answer: ** mL (accept  10%)

That concludes Session 1: Estimation

Session 2: Speed Each team will be asked the same set of questions. Teams will be asked to wait outside until it is their turn. There are a maximum of 12 questions to be answered orally by the team within two minutes. A team may ask for a question to be repeated, though should be aware that their time is limited. A team may pass on any question and this question may be repeated if time permits. Calculators and writing paper/pens are NOT permitted. The time starts at the end of the first question. If the team calls out more than one response, the team captain must decide which one is the team answer. All talking must cease when the gong sounds. Units must be given when appropriate (half point penalty).

Time’s up! 1:37 1:38 1:39 1:40 1:36 1:42 1:32 1:31 1:33 1:44 1:34 1:35 Session 2: Speed Team 1: *** Time’s up! Click to start the timer. You have 2 minutes… 1:37 1:38 1:39 1:40 1:36 1:42 1:32 1:31 1:33 1:44 1:34 1:35 1:43 1:53 1:52 1:54 1:55 1:57 1:56 1:51 1:50 1:46 1:45 1:47 1:48 1:49 1:41 29 10 9 11 12 14 13 8 7 2 1 3 4 6 5 15 16 25 24 26 27 1:58 28 23 22 18 17 19 20 21 30 1:59 39 38 41 42 44 43 37 35 40 31 32 33 36 34 45 46 55 54 56 57 59 58 53 52 48 47 49 50 51 1:30 1:29 1:12 1:08 1:09 1:10 1:13 1:11 1:07 1:06 1:01 2:00 1:02 1:03 1:05 1:04 1:14 1:15 1:24 1:23 1:25 1:26 1:28 1:27 1:22 1:21 1:17 1:16 1:18 1:19 1:20 1:00

Time’s up! 1:37 1:38 1:39 1:40 1:36 1:42 1:32 1:31 1:33 1:44 1:34 1:35 Session 2: Speed Team ….: *** Time’s up! Click to start the timer. You have 2 minutes… 1:37 1:38 1:39 1:40 1:36 1:42 1:32 1:31 1:33 1:44 1:34 1:35 1:43 1:53 1:52 1:54 1:55 1:57 1:56 1:51 1:50 1:46 1:45 1:47 1:48 1:49 1:41 29 10 9 11 12 14 13 8 7 2 1 3 4 6 5 15 16 25 24 26 27 1:58 28 23 22 18 17 19 20 21 30 1:59 39 38 41 42 44 43 37 35 40 31 32 33 36 34 45 46 55 54 56 57 59 58 53 52 48 47 49 50 51 1:30 1:29 1:12 1:08 1:09 1:10 1:13 1:11 1:07 1:06 1:01 2:00 1:02 1:03 1:05 1:04 1:14 1:15 1:24 1:23 1:25 1:26 1:28 1:27 1:22 1:21 1:17 1:16 1:18 1:19 1:20 1:00

Answers: Questions Answer 1 What is 150 ÷ 5? 30 2 What is 0.8 as a fraction in simplest form? 4/5 3 Subtract 8.2 from 34 25.8 4 How many millilitres are in 2.5 litres? 2500 5 How many faces are on a triangle-based pyramid? 6 How many 20c pieces would make $9.60? 48 7 The side of a square is 2.3cm. What is its perimeter? 9.2cm 8 Does 3 divide evenly into 423? yes 9 What is the sum of 14, 12 and 19? 45 10 What is one quarter of 360? 90 11 How many days are there in March? 31 12 What is the value of 33? 27

That concludes Session 2: Speed

Session 3: Written Problems All contestants will be given the same 5 questions, and must work on them individually. Only the answer on the line next to the original question is required. Contestants are at liberty to use the working paper given to them, but the answers must be on the official sheet handed to them. Calculators ARE permitted in this session. Each question is worth one point so a team may achieve a maximum of 15 points in this session. There is a time limit of 15 minutes. For the benefit of the audience, the questions will be displayed on the screen. Click to see the questions and start the timer.

Session 3: Written Problems At McDonalds you can order Chicken McNuggets in boxes of 6, 9, and 20. What is the largest number of McNuggets that you cannot order using any combination of the above boxes to achieve exactly the number you want? Hint: less than 50. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive? In the following correctly worked addition sum, A,B,C and D represent different digits, and all the digits in the entire sum are different. What is the sum of A,B,C and D? Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set? Amy has to visit towns B and C in any order. The roads connecting these towns with her home (A) are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip? 5A +BC D43 Time’s up! 11 mins remaining 1 min remaining 12 mins remaining 10 mins remaining 13 mins remaining 9 mins remaining 2 mins remaining 14 mins remaining 3 mins remaining 8 mins remaining 6 mins remaining 7 mins remaining 5 mins remaining 4 mins remaining 9 8 10 7 11 12 4 1 13 2 3 5 6 21 26 25 24 27 28 30 29 23 22 16 15 17 18 20 19 14

Session 3: Written Problems Answers: 43 nuggets 100 22 12 8 ways

Session 3: Written Problems That concludes Session 3: Written Problems

Session 4: Individual Short Answer Three questions will be asked, one at a time. For each team, the team member on the compère's left will write down the answer to the first question on the paper provided. Assistance from other team members is not allowed. Calculators ARE NOT permitted. There will be a 20 second interval to write the answer down and hold it up for the audience to see. The compère will then indicate to the scorer which teams have the correct answer. Each question in this session is worth 2 points so each team can score a maximum of 6 points in this session. These steps will be repeated with the second question being asked of the team member sitting in the middle, the third question of the team member sitting on the compère's right.

Session 4: Individual Short Answer Click to see the first question and then click again to start the timer. You have 20 seconds… Question 1 A certain animal in the zoo has consumed 12kg of food in four days. If it continues to eat at the same rate, in how many more days will its total consumption be 21kg? Time’s up! Hold up your answer… 6 7 5 8 3 1 2 9 4 12 17 18 19 20 16 15 11 13 14 10

Session 4: Individual Short Answer Answer: 3 more days

Session 4: Individual Short Answer Question 2 Jason works 7 hours per day on Monday, and Wednesday, and 3 hours per day on Tuesday and Thursday. He does not work on other days. He earns $220 per week. How much does he earn in dollars per hour? Click to see the second question and then click again to start the timer. You have 20 seconds… Time’s up! Hold up your answer… 6 7 5 8 3 1 2 9 4 12 17 18 19 20 16 15 11 13 14 10

Session 4: Individual Short Answer Answer: $11 per hour

Session 4: Individual Short Answer Question 3 A solid cube of side 6cm is first painted blue and then cut into smaller cubes of side 2cm. How many of the smaller cubes have paint on exactly 2 sides? Click to see the third question and then click again to start the timer. You have 20 seconds… Time’s up! Hold up your answer… 6 7 5 8 3 1 2 9 4 12 17 18 19 20 16 15 11 13 14 10

Session 4: Individual Short Answer

Individual Short Answer That concludes Session 4: Individual Short Answer

Session 5: General Knowledge There will be 5 questions, each worth one point. The compère will ask a question and there will be a 20 second interval during which a team may confer among itself and write the answer on one of the sheets of paper provided. At the gong, each team must hold up its answer for the audience to see. The compère will then indicate to the scorer which schools have the correct answer. Calculators are NOT permitted.

Session 5: General Knowledge Time’s up! Hold up your answer… Question 1 Write “the cubed root of 38” in symbols. Click to see the first question and then click again to start the timer. You have 20 seconds… 6 7 8 5 3 1 2 9 4 12 17 18 19 20 16 15 11 13 14 10

Session 5: General Knowledge Answer:

Session 5: General Knowledge Time’s up! Hold up your answer… Click to see the second question and then click again to start the timer. You have 20 seconds… Question 2 What rule could be used to find the area of a semicircle? 6 7 8 5 3 1 2 9 4 11 17 18 19 20 16 15 12 13 14 10

(or something equivalent) Session 5: General Knowledge Answer: πr2÷2 (or something equivalent)

Session 5: General Knowledge Time’s up! Hold up your answer… Question 3 What word, beginning with T, is defined in geometry as "a straight line that touches a curve but continues on without crossing it“? Click to see the third question and then click again to start the timer. You have 20 seconds… 6 7 8 5 3 1 2 9 4 11 17 18 19 20 16 15 12 13 14 10

Session 5: General Knowledge Answer: Tangent

Session 5: General Knowledge Time’s up! Hold up your answer… Question 4 Draw an example of a rhombus. Click to see the fourth question and then click again to start the timer. You have 20 seconds… 6 7 8 5 3 1 2 9 4 12 17 18 19 20 16 15 11 13 14 10

Session 5: General Knowledge Answer: e.g.

Session 5: General Knowledge Time’s up! Hold up your answer… Click to see the fifth question and then click again to start the timer. You have 20 seconds… Question 5 What geometrical shape forms the hole that fits an allen key? 6 7 8 5 3 1 2 9 4 11 17 18 19 20 16 15 12 13 14 10

Session 5: General Knowledge Answer: A hexagon

Session 5: General Knowledge That concludes Session 5: General Knowledge

TIE BREAKER (if needed) There will be one estimation question, worth 1 point. There will be a time interval during which the teams may confer among themselves and write the answer on one of the sheets of paper provided. At the end of the allotted time, a gong will sound and each team must hold up its answer for the audience to see. The compère will then indicate to the scorer which team has the closer answer, and that team will be awarded the point. Calculators are NOT permitted.

TIE BREAKER Estimate the number of jellybeans in this jar. Click to start the timer. You have 30 seconds… Time’s up! Hold up your answer… 10 9 11 13 8 12 6 2 1 3 4 14 5 7 16 26 25 27 28 30 29 24 23 18 17 19 20 22 21 15

Answer: ** jellybeans (closest team wins)

Yr 8 Quiz Round 1