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Multiplication and division illustration | Number 50
To divide a number by 50, divide by 100, then multiply by 2.

Multiplication and Division 3 (Medium)

Multiplication and division connect to speed, growth, and measurement. In 11 Plus Maths, they reveal how numbers behave in patterns, sequences, and real-world applications.

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Fascinating Fact:

A light bulb flashing twenty times per second multiplies into one thousand two hundred flashes per minute, too fast for the human eye to count.

In 11 Plus Maths, multiplication and division are explored through problem solving and reasoning. Pupils learn how to apply these operations in situations involving time, speed, and scaling, all of which build logical thinking and mathematical fluency.

Key Terms

  • Frequency: The number of times an event happens in a given period, often measured in seconds or minutes.
  • Quotient: The result you get when one number is divided by another.
  • Factor: A number that divides exactly into another number without leaving a remainder.

Parents can find extra guidance and practice materials in our 11 Plus sample questions guide.

Frequently Asked Questions (Click to see answers)

How can multiplication help when solving time problems?

Multiplication helps find totals over longer periods, such as calculating how many times something happens per minute or hour from a smaller sample.

What is the easiest way to check a division answer?

You can multiply the quotient by the divisor. If the result matches the dividend, then the division was calculated correctly.

Why do we use factors in multiplication and division?

Factors make calculations simpler by breaking numbers into smaller, manageable parts that help identify patterns and relationships between numbers.

Try These Related Quizzes

1 .
What is the correct answer to the given calculation?
3,846 ÷ 200 = ?
19.23
38.46
192.3
384.6
To divide a number by 200, first divide by 2 then divide your answer by 100
3,846 ÷ 2 = 1,923 ÷ 100 = 19.23
2 .
What is the correct answer to the given calculation?
1,275 ÷ 50 = ?
2.55
25.5
255
0.255
To divide a number by 50: divide by 100, then multiply by 2: 1,275 ÷ 50 = (1,275 ÷ 100) x 2 = 12.75 x 2 = 25.5
3 .
What is the correct answer to the given calculation?
17 x 90 = ?
1,270
1,450
1,530
1,610
To multiply a number by 90: first multiply the number by 10, then subtract the original number from it, and finally multiply your answer by 10:
17 × 90 = ((17 x 10) - 17) x 10 = (170 - 17) x 10 = 153 x 10 = 1,530
4 .
What is the correct answer to the given calculation?
406 x 12 = ?
4,836
4,848
4,860
4,872
To multiply a number by 12, first multiply the number by 10, then add twice the original number to it:
406 × 12 = (406 x 10) + (406 x 2) = 4,060 + 812 = 4,872
5 .
What is the correct answer to the given calculation?
24 x 800 = ?
19,200
1,920
192,000
192
To multiply a number by 800, multiply the number by 2, then by 2 again, and again by 2, and finally by 100:
24 × 800 = (24 x 2 x 2 x 2) x 100 = (48 x 2 x 2) x 100 = (96 x 2) x 100 = 192 x 100 = 19,200
6 .
What is the correct answer to the given calculation?
138 x 50 = ?
690
6,900
69,000
690,000
To multiply a number by 50: first divide by 2, then move the digits 2 places to the left:
138 × 50 = (138÷ 2) x 100 = 69 x 100. Move the d.p. 2 places to the right gives 6,900
7 .
What is the correct answer to the given calculation?
16.5 x 25 = ?
420.5
416.5
412.5
408.5
To multiply a number by 25: multiply by 100, then divide by 4:
16.5 × 25 = (16.5 x 100) ÷ 4 = 1,650 ÷ 4 = 412.5
8 .
What is the correct answer to the given calculation?
34 x 110 = ?
364
374
3,640
3,740
To multiply a number by 110, first multiply by 100, then multiply by 10 and just add your two answers together:
34 x 110 = (34 x 100) + (34 x 10) = 3,400 = 340 = 3,740
9 .
What is the correct answer to the given calculation?
14.72 ÷ 5 = ?
2.875
2.894
2.972
2.944
To divide a number by 5: first multiply by 2 and then move the digits to the right:
14.72 ÷ 5 = (14.72 × 2) ÷ 10 = 29.44 ÷ 10 . Move the d.p. 1 place to the left gives 2.944
10 .
What is the correct answer to the given calculation?
18 x 13 = ?
123
234
345
456
To multiply a number by 13, first multiply the number by 10, then multiply it by 3 and finally, add your two answers together:
18 x 13 = (18 x 10) + (18 x 3) = 180 + 54 = 234
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
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