2.2.1 Factors and Multiples, PT3 Practice

Question 1:
How many prime numbers are there between 10 and 40?

Solution:
Prime numbers between 10 and 40
= 11, 13, 17, 19, 23, 29, 31, 37
There are 8 prime numbers between 10 and 40.

Question 2:
Diagram below shows a sequence of prime numbers.
$$\boxed{13,17,x,y,29}$$ Find the value of x + y.

Solution:
Value of x + y
= 19 + 23
= 42

Question 3:
The following data shows a sequence of prime numbers in ascending order.
$$\boxed{5,7,x,13,17,\text{ 19},\text{ 23},29,y,z}$$ Find the value of x, y and of z.

Solution:
x = 11, y = 31, z = 37

Question 4:
The following data shows a sequence of prime numbers in ascending order.
$$\boxed{p,\text{ 6}1,\text{ 6}7,q,\text{ 73},r,\text{ 83 }}$$ Find the value of p, q and of r.

Solution:
p = 59, q = 71, r = 79