Quiz
MM2 MID UNIT TEST REVISION
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Questions in this quiz (58)
12 6-sided dice are tossed. Find the probability that sum of the values of the uppermost face is 7.
Pr(sum of the values of the uppermost face is 7) = [blank_start]answer[blank_end]- A1/6
22 6-sided dice are tossed. Find the probability that the sum is not 7.
2 6-sided dice are tossed. Find the probability that sum of the values of the uppermost face is 7.
Pr(sum of the values of the uppermost face is NOT 7) = [blank_start]answer[blank_end]- A5/6
3The probability that a computer chip is operational is 0.993. The probability is is NOT operational is [blank_start]answer[blank_end].
- A0.007
4A whole number between 1 and 300 (inclusive) is chosen at random. Find the probability that the number is divisible by 3.
Pr(divisible by 3) = [blank_start]answer[blank_end]- A1/3
5A whole number between 1 and 300 (inclusive) is chosen at random. Find the probability that the number is divisible by 4.
Pr(divisible by 4) = [blank_start]answer[blank_end]- A1/4
6A whole number between 1 and 300 (inclusive) is chosen at random. Find the probability that the number is divisible by 3 or 4.
Pr(divisible by 3 or 4) = [blank_start]answer[blank_end]- A1/2
7A drawer contains 30 red socks and 20 blue socks. If a sock is chosen at random, its colour noted, replaced, and a second sock withdrawn, what is the probability both are red?
Pr(both red) = [blank_start]answer[blank_end]- A0.36
8A drawer contains 30 red socks and 20 blue socks. If a sock is chosen at random, not replaced, and a second sock is drawn, what is the probability they are both red?
Pr(both red) = [blank_start]answer[blank_end]- A87/245
9Box A contains five pieces of paper labelled 1, 3, 5, 7, 9.
Box B contains three pieces of paper labelled 1, 4, 9.
One piece is removed from both boxes at random. Find the probability the the two numbers have a sum that is divisible by 3.
Pr(sum divisible by 3) = [blank_start]answer[blank_end]- A4/15
10A 3-digit number is formed by arranging the numbers 1, 5, and 6 in a random order.
a) The sample space is [blank_start]answer[blank_end].
b) Pr(number is larger than 400) = [blank_start]answer[blank_end].
c) Pr(even number) = [blank_start]answer[blank_end].- A[156, 165, 516, 561, 615, 651]
- B2/3
- C1/3
11A letter is chosen at random from the word STATISTICIAN.
Pr(letter is a vowel) = [blank_start]answer[blank_end]
Pr(T) = [blank_start]answer[blank_end]- A5/12
- B1/4
12Ivan and Joe are chess players. In any game the probabilities of Ivan beating Joe, Joe beating Ivan, or the game resulting in a draw are 0.6, 0.1, or 0.3 respectively. They play a series of 3 games. The probability that they win alternate games, with Ivan winning the first one, is [blank_start]answer[blank_end].
- A0.036
13Ivan and Joe are chess players. In any game the probabilities of Ivan beating Joe, Joe beating Ivan, or the game resulting in a draw are 0.6, 0.1, or 0.3 respectively. They play a series of 3 games. The probability that the three games are drawn is [blank_start]answer[blank_end].
- A0.027
14Ivan and Joe are chess players. In any game the probabilities of Ivan beating Joe, Joe beating Ivan, or the game resulting in a draw are 0.6, 0.1, or 0.3 respectively. They play a series of 3 games. The probability that exactly two games are drawn is [blank_start]answer[blank_end].
- A0.189
15Ivan and Joe are chess players. In any game the probabilities of Ivan beating Joe, Joe beating Ivan, or the game resulting in a draw are 0.6, 0.1, or 0.3 respectively. They play a series of 3 games. The probability that Joe doesn't win a game is [blank_start]answer[blank_end].
- A0.729
16If Pr(A) = 0.6 and Pr(B) = 0.5, can A and B be mutually exclusive? [blank_start]Answer[blank_end].
- ANo
17Events A and B are such that Pr(A) = 0.6, Pr(B) = 0.5, and Pr(A' [upside down U] B) = 0.4. Construct a probability table and use it to find:
a) Pr(A [upside down U] B') = [blank_start]answer[blank_end]
b) Pr(A' [upside down U] B') = [blank_start]answer[blank_end]
c) Pr(A U B) = [blank_start]answer[blank_end]- A0.5
- B0
- C1
18In M's class, 18 students study math, 14 study music, and 7 study math and music. Given that a student in his class studies music, what is the probability they also study math?
Pr = [blank_start]answer[blank_end]- A1/2
19In M's class, 18 students study math, 14 study music, and 7 study math and music. Given that a a student in his class studies math, what is the probability they also study music?
Pr =[blank_start]answer[blank_end]- A7/18
20Given Pr(B) = 1/3, Pr(A|B) = 2/3 and Pr(A|B') = 3/7, determine:
a) Pr(A [upside down U] B') = [blank_start]answer[blank_end]
b) Pr(A) = [blank_start]answer[blank_end]
c) Pr(B'|A) = [blank_start]answer[blank_end]- A2/7
- B32/63
- C9/16
21If the probability of Chris scoring 50 or more marks in the exam is 0.7, then the probability he scores less than 50 marks is
- A0
- B0.3
- C0.4
- D0.7
- E0.8
22A spinner is coloured red, yellow, blue and green. When spun the probability that it lands on red is 0.1, yellow is 0.2 and blue is 0.4. The probability of it landing on green is
- A0.1
- B0.2
- C0.3
- D0.4
- E0.5
23P is making a sign, and has cut the letters of the word THEATRETTE out of wood and placed them in a toolbox. If a letter is selected at random, then the probability it is a T is
- A2/5
- B3/10
- C1/5
- D1/6
- E3/5
24Of a group of 25 people in a restaurant, 3 chose a vegetarian meal, 5 chose fish, ten chose beef and the rest chose chicken. What is the probability a randomly chosen diner chose chicken?
- A3/25
- B6/25
- C7/25
- D2/5
- E7/18
25Suppose a card is drawn a random from a well-shuffled pack of 52 cards. What is the probability that the card is a spade or a jack?
- A1/4
- B1/13
- C17/52
- D4/13
- E9/26
26An experiment consists of tossing a coin and then rolling a fair 6-sided die. What is the probability of observing a head and a 6?
- A1/2
- B1/4
- C1/35
- D1/12
- E7/12
27If A and B are events such that Pr(A) = 0.35, Pr(A []upside down U] B) = 0.18 and Pr(B) = 0.38, then Pr(A U B) is equal to
- A0.73
- B0.133
- C0.15
- D0.21
- E0.55
28The following applies to a class:
- The probability that a student studies math is 2/3
- The probability that a student studies German is 3/10
- The probability that a student studies math and NOT German is 7/15
The probability that a student does not study either German or math is- A4/5
- B7/30
- C7/15
- D7/10
- E1/3
29For his holiday reading Geoff has selected 8 detective novels, 3 bibliographies and 4 sci-fi books, but he only has room in his case for 3. If he selects one book from each group, how many combinations are possible?
- A15
- B28
- C56
- D20
- E96
30G is choosing her 5 subjects for year 12. She has already chosen 3. For the remaining 2, she will chose 1 of 3 maths and either 1 of 3 sciences or 1 of 5 languages. How many combinations are possible?
- A11
- B15
- C9
- D24
- E45
31In how many ways can 10 people be arranged in a queue in a bank?
- A10!
- B10!/2!
- C10!/2!8!
- D10!/8!
- E10C1
32How many different licence plates can be made using 2 letters followed by 4 digits, if neither letters nor numbers can be repeated?
- A8
- B720
- C5690
- D3276000
- E6760000
3321C3 is equal to
- A21!
- B21!/3!
- C21!/18!3!
- D21!/18!
- E18!3!/21!
34In how many ways can a hand of 6 cards be dealt from a pack?
- A6!
- B52C6
- C46C6
- D52!/6!
- E52!
35In how many ways can 3 DVDs be chosen from a group of 12 DVDs?
- A12
- B36
- C220
- D1320
- E79833600
36A class consists of 10 girls and 14 boys. In how many ways could a committee of two
girls and two boys be chosen?- A10C2 × 14C2
- B24C4
- C10! x 14!
- D10 x 9 x 14 x 13
- E10!14!/4!
37Three-letter ‘words’ are to be made by arranging the letters of the word METHODS. What is the probability that the word begins with a vowel?
- A1/105
- B1/21
- C1/2
- D5/26
- E2/7
38What is the probability that a team of four chosen at random from a group of eight friends, four males and four females, would consist of three women and one man?
- A1/2
- B3/4
- C3/8
- D3/64
- E8/35
39Evaluate:
1000C998 = [blank_start]answer[blank_end]- A499500
40Evaluate:
1000000C999999 = [blank_start]answer[blank_end]- A1000000
41Evaluate:
1000000C1 - [blank_start]answer[blank_end]- A1000000
42How many integers from 100 to 999, inclusive, have three different digits?
[blank_start]answer[blank_end]- A648
43How many different three-digit house numbers can be constructed from six brass numerals 1, 2, 3, 4, 5, 6?
[blank_start]answer[blank_end]- A120
44A supermarket sells n different brands of dishwashing liquid. Each brand offers four
different sized bottles (small, medium, large and economy), and each is available as
either lemon-scented or pine-scented. How many different types of dishwashing liquid
bottles are available at this supermarket?
[blank_start]answer[blank_end]- A8n
45Of the integers from 1000 to 9999, how many have at least one digit a 5 or 7?
[blank_start]answer[blank_end]- A5416
46A bushwalking club has 80 members: 50 men and 30 women. A committee consisting of two men and one woman is to be selected. How many different committees are possible?
[blank_start]answer[blank_end]- A36750
47There are five vowels and 21 consonants in the English alphabet. How many different four-letter ‘words’ can be formed that contain two different vowels and two different consonants?
[blank_start]answer[blank_end]- A50400
48A pizza restaurant offers the following toppings: onions, green peppers, mushrooms, anchovies and pepperoni.
a) How many different kinds of pizza with three different toppings can be ordered?
[blank_start]answer[blank_end]
b) How many different kinds with any number of toppings (between none and all five) can be ordered?
[blank_start]answer[blank_end]- A10
- B32
49Seven people are to be seated in a row. Calculate the number of ways in which this can be done so that two particular persons, A and B, always have exactly one of the others between them.
[blank_start]answer[blank_end]- A1200
50Three letters are chosen at random from the word OLYMPICS and arranged in a row. What is the probability that the letter O is first?
[blank_start]answer[blank_end]- A1/8
51Three letters are chosen at random from the word OLYMPICS and arranged in a row. What is the probability that the letter Y is chosen?
[blank_start]answer[blank_end]- A3/8
52Three letters are chosen at random from the word OLYMPICS and arranged in a row. What is the probability that both vowels are chosen?
[blank_start]answer[blank_end]- A3/28
53Using Pascal’s triangle and the binomial theorem, expand (x − 1)^6
[blank_start]answer[blank_end]
.- Ax^6-6x^5+15x^4-20x^3+15x^2-6x+1
54The triangle shown has sides AB = 4, BC = 6 and CA = 5. Find cos(∠BAC).
[blank_start]answer[blank_end]
- A1/8
55In triangle ABC, AB = 8, AC = 10 and
∠ABC = 30◦. Find sin(∠ACB).
[blank_start]answer[blank_end]
- A2/5
56The diagram shows part of a circle with centre O
and radius r cm. The length of arc AB is 1.4 cm
and the length of arc BC is 2.4 cm. The magnitude
of ∠BOC is 1.2 radians. Calculate:
a) the value of r
[blank_start]answer[blank_end]
b) the magnitude of ∠AOB in radians.
[blank_start]answer[blank_end]
- A2
- B0.7
57Triangle ABC has AB = BC = 10 cm and ∠ABC = 120◦. Find AC.
[blank_start]answer[blank_end]- A10 square root 3 cm
58If sin x = sin 37◦ and x is obtuse, find x.
[blank_start]answer[blank_end]- A143
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- Year 10 Mathematics Quiz on MM2 MID UNIT TEST REVISION, created by Jade Buck on 21/06/2018.
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- Jade Buck
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- English
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