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You know what a square is, but what is a square number?
Pick a Figure 4
Congratulations – you’ve made it to the last of our Eleven Plus Verbal Reasoning quizzes on Picking a Figure to Fulfil Criteria. Give yourself a pat on the back! I’m sure that you've got the hang of these questions by now, but have a go at this final quiz just to make sure.
Times tables are very useful things to memorise. In fact, if you know your times tables you will find spotting factors and multiples very easy indeed. Why? Because factors are numbers which divide into another number without leaving a remainder (e.g. 3 is a factor of 6 because 6 is in the 3 times table), and multiples are numbers which appear in another number’s times table (e.g. 6 is a multiple of 3 because 6 appears in the 3 times table).
Now you know why your teachers are so keen for you to learn your times tables! In fact, the more familiar you are with them, the easier you will find most parts of maths.
Example:
Which of the following is not a factor of 24?
2, 6, 4, 48, 12 Answer:
‘Factor’ means a number which fits exactly into another. The numbers 2, 4, 6 and 12 all fit into 24 whereas 48 does not, so the correct answer is 48.
Which of the following is not a factor of 24?
2, 6, 4, 48, 12 Answer:
‘Factor’ means a number which fits exactly into another. The numbers 2, 4, 6 and 12 all fit into 24 whereas 48 does not, so the correct answer is 48.
1.
Which of the following is a square number?
8000, 1000, 4000, 2000, 10000
8000, 1000, 4000, 2000, 10000
1,000
8,000
10,000
4,000
Square numbers are what we get when we multiply a number by itself. 10,000 is the square of 100 because 100 x 100 = 10,000. None of the other options are square numbers
2.
Which of the following is a multiple of 15?
70, 95, 35, 135, 65
70, 95, 35, 135, 65
135
65
95
70
Multiples are numbers you find after multiplying another number. More simply, if a number is in another number’s times table, then it is a multiple of that number. To quickly see if a number is a multiple of another, divide it by the other number and, if there is no remainder, it is a multiple.
The only one of the options which can be divided by 15 with no remainder is 135
The only one of the options which can be divided by 15 with no remainder is 135
3.
Which of the following is not a prime number?
103, 107, 109, 111, 113
103, 107, 109, 111, 113
103
113
107
111
Prime numbers can only be divided by two numbers (one and themselves) without leaving a remainder. They will only appear in the 1 times table and their own times table, but in no others. All of the options, except 111 (which appears in the 3 and 37 times tables) meet these requirements
4.
Which of the following is a prime number?
49, 69, 25, 43, 39
49, 69, 25, 43, 39
69
39
25
43
Prime numbers can only be divided by two numbers (one and themselves) without leaving a remainder. They will only appear in the 1 times table and their own times table, but in no others. The number 43 is the only option which can meet these requirements
5.
Which of the following is a factor of 91?
7, 14, 9, 11, 21
7, 14, 9, 11, 21
7
11
14
9
Factors are numbers which divide into another number without leaving a remainder. The factors of 91 are 1, 7, 13 and 91. The only one of these which appears amongst the options is 7
6.
Which of the following is not a multiple of 14?
126, 72, 28, 84, 56
126, 72, 28, 84, 56
126
72
28
56
Multiples are numbers you find after multiplying another number. More simply, if a number is in another number’s times table, then it is a multiple of that number. To quickly see if a number is a multiple of another, divide it by the other number and, if there is no remainder, it is a multiple.
All of the options, except 72, can be divided by 14 with no remainder
All of the options, except 72, can be divided by 14 with no remainder
7.
Which of the following is not a multiple of 17?
34, 17, 170, 51, 66
34, 17, 170, 51, 66
51
66
34
170
Multiples are numbers you find after multiplying another number. More simply, if a number is in another number’s times table, then it is a multiple of that number. To quickly see if a number is a multiple of another, divide it by the other number and, if there is no remainder, it is a multiple.
All of the options, except 66, can be divided by 17 with no remainder
All of the options, except 66, can be divided by 17 with no remainder
8.
Which of the following is not a square number?
196, 168, 144, 25, 121
196, 168, 144, 25, 121
196
121
168
25
Square numbers are what we get when we multiply a number by itself. All of the options are square numbers (5 x 5 = 25, 11 x 11 = 121, 12 x 12 = 144, 14 x 14 = 196) but 168 is not
9.
Which of the following is not a factor of 80?
10, 80, 1, 160, 40
10, 80, 1, 160, 40
80
1
160
40
Factors are numbers which divide into another number without leaving a remainder. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. The number 160 is not a factor of 80, but 80 is a factor of 160
10.
Which of the following is a factor of 97?
3, 17, 13, 97, 7
3, 17, 13, 97, 7
13
3
17
97
Factors are numbers which divide into another number without leaving a remainder. The factors of 97 are 1 and 97 (which means it is a prime number). The only one of these amongst the options is 97 – every number is a factor and a multiple of itself
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