**Question 6**:

How many prime numbers are there between 10 and 40?

*Prime numbers between 10 and 40*

**Solution**:*= 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.

$$\overline{)13,\text{}17,\text{}x,\text{}y,\text{}29}$$ Find the value of

*x*+

*y*.

*Value of*

**Solution**:*x*+

*y*

= 19 + 23

= 42

**Question 8**:

The following data shows a sequence of prime numbers in ascending order.

$$\overline{)\text{}5,\text{}7,\text{}x,\text{}13,\text{}17,\text{19},\text{23},\text{}29,\text{}y,\text{}z\text{}}$$ 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.

$$\overline{)\text{}p,\text{6}1,\text{6}7,\text{}q,\text{73},\text{}r,\text{83}}$$ Find the value of

*p*,

*q*and of

*r*.

**Solution**:*p*= 59,

*q*= 71,

*r*= 79

**Question 10**:

Diagram below shows several number cards.

$$\overline{)\begin{array}{l}\text{}\overline{)49}\text{}\overline{)39}\text{}\overline{)29}\text{}\\ \text{}\overline{)87}\text{}\overline{)97}\text{}\overline{)77}\text{}\\ \text{}\overline{)\text{}5\text{}}\text{}\overline{)15}\text{}\overline{)\text{2}5}\text{}\end{array}}$$ List three prime numbers from the diagram.

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

**Solution**: