Divisibility and percentages – practice for Years 7–9

Sample questions on Divisibility and percentages with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject

Maths

Year

Years 7–9

Curriculum area

Number and algebra

Question types: Decide YES/NO

Sample questions

1. Question 1 Easy

   Decide whether each statement is true (YES) or not (NO).

   1. 907 is divisible by 3.
   2. √168 is a whole number.
   3. 10% of 200 is 20.
   Show the solution

   Answer:

   1. 907 is divisible by 3. – no
   2. √168 is a whole number. – no
   3. 10% of 200 is 20. – yes

   How it works: the digit sum 16 is not divisible by 3; 13² = 169; 10% of 200 = 20

2. Question 2 Normal

   Decide whether each statement is true (YES) or not (NO).

   1. 310 is divisible by 3.
   2. √100 is a whole number.
   3. 10% of 120 is 12.
   Show the solution

   Answer:

   1. 310 is divisible by 3. – no
   2. √100 is a whole number. – yes
   3. 10% of 120 is 12. – yes

   How it works: the digit sum 4 is not divisible by 3; 10² = 100; 10% of 120 = 12

3. Question 3 Hard

   Decide whether each statement is true (YES) or not (NO).

   1. 775 is divisible by 3.
   2. √25 is a whole number.
   3. 50% of 200 is 120.
   Show the solution

   Answer:

   1. 775 is divisible by 3. – no
   2. √25 is a whole number. – yes
   3. 50% of 200 is 120. – no

   How it works: the digit sum 19 is not divisible by 3; 5² = 25; 50% of 200 = 100

All Maths topics