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Calculations - Factorials - Introduction

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Calculations - Factorials - Introduction

This Math quiz is called 'Calculations - Factorials - Introduction' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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Ah yes, here we are being hit with yet another new math vocabulary word - factorials. You’ll probably be very happy to learn that factorials are really very easy and even fun. Later on as you progress in your math classes such as in trigonometry or calculus, or even physics, you will learn how to use factorials in several different formulas. However, for this quiz, we are just going to get comfortable with understanding the very basics of factorials.

1.
11! ÷ 5! = ?
332,640
332,620
332,600
332,580
Working the problem we have
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5,040
5,040 x 8 = 40,320
40,320 x 9 = 362,880
362,880 x 10 = 3,628,800
3,628,800 x 11 = 39,916,800
- and then -
1 x 2 x 3 x 4 x 5
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
Solution: 11! ÷ 5! = 39,916,800 ÷ 120 = 332,640
11! ÷ 5! = 332,640
Answer (a) is the correct answer
2.
8! = ?
35,320
40,320
40,040
404,020
Working the problem we have
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5,040
5,040 x 8 = 40,320
Solution: 8! = 40,320
Answer (b) is the correct answer
3.
5! = ?
120
125
130
135
Working the problem we have
1 x 2 x 3 x 4 x 5
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
Solution: 5! = 120
Answer (a) is the correct answer
4.
4! + 9! = ?
5,660,910
362,904
362,928
566,091
Working the problem we have
1 x 2 x 3 x 4
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
- and then -
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5,040
5,040 x 8 = 40,320
40,320 x 9 = 362,880
Solution: 4! + 9! = 24 + 362,880 = 362,904
4! + 9! = 362,904
Answer (b) is the correct answer
5.
6! x 2! = ?
1,442
722
732
1,440
Working the problem we have
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
- and then -
1 x 2
1 x 2 = 2
Solution: 6! x 2! = 720 x 2 = 1,440
6! x 2! = 1,440
Answer (d) is the correct answer
6.
10! = ?
3,428,800
342,880
3,628,800
362,880
Working the problem we have
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5,040
5,040 x 8 = 40,320
40,320 x 9 = 362,880
362,880 x 10 = 3,628,800
Solution: 10! = 3,628,800
Answer (c) is the correct answer
7.
3! = ?
8
4
12
6
Working the problem we have
1 x 2 x 3
1 x 2 = 2
2 x 3 = 6
Solution: 3! = 6
Answer (d) is the correct answer
8.
8! ÷ 4! x 2! = ?
3,160
3,260
3,360
3,460
Working the problem we have
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5,040
5,040 x 8 = 40,320
- and then -
1 x 2 x 3 x 4
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
- and then
1 x 2 = 2
Solution: 8! ÷ 4! x 2!= 40,320 ÷ 24 = 1,680 x 2 = 3,360
8! ÷ 4! x 2!= 3,360
Answer (c) is the correct answer
9.
7! - 6! = ?
3,420
4,320
2,430
4,540
Working the problem we have
1 x 2 x 3 x 4 x 5 x 6 x 7
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5,040
- and then -
1 x 2 x 3 x 4 x 5 x 6
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
Solution: 7! - 6! = 5,040 - 720 = 4,320
7! - 6! = 4,320
Answer (b) is the correct answer
10.
7! = ?
4,050
4,250
5,040
5,080
Working the problem we have
1 x 2 x 3 x 4 x 5 x 6 x 7
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5,040
Solution: 7! = 5,040
Answer (c) is the correct answer
Author:  Christine G. Broome

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