2.2.2 Number Patterns and Sequences, PT3 Practice

Question 6:
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 7:
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 8:
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 9:
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

Question 10:
Diagram below shows several number cards.
$$\boxed{\begin{array}{l}\boxed{49}\boxed{39}\boxed{29}\\ \boxed{87}\boxed{97}\boxed{77}\\ \boxed{5}\boxed{15}\boxed{\text{2}5}\end{array}}$$ List three prime numbers from the diagram.

Solution:
Prime number card from the diagram = 5, 29 and 97.