**Question 06 **

__Answer__** 06**

**Question 07 **

__An__swer** 07**

**Question 08 **

** Answer** 08

**Question 09**

** Answer** 09

** Question 10**

** Answer** 10

**Question 11**

**How many months have 30 day.**

Simplify 9^{5} ÷ 9^{-3}

**Answer 50**

Use the law of exponents x^{m} ÷ x^{n} = x^{m − n}

In this case m = 5 and n = -3 ⇒ m − n = 5 − (-3) = 5 + 3 = 8

So 9^{5} ÷ 9^{-3} = 9^{8}

^{Question 51}

^{Question 51}

^{What is (7 + 3) ÷ (8 − 3) ?}

^{Answer 51}

^{Work out the brackets (parentheses) first:7 + 3 = 108 − 3 = 5Therefore (7 + 3) ÷ (8 − 3) = 10 ÷ 5 = 2}

^{Question 52}

^{Question 52}

^{Multiply 3.25 by 0.22}

^{Answer 52}

^{Answer 52}

^{}^{Start with: 3.25 × 0.22}^{Multiply without decimal points: 325 × 22 = 7,1503.25 has 2 decimal places,and 0.22 has 2 decimal places,so the answer has 4 decimal places: 0.7150 The final zero is not necessary, so: 0.715}

^{Question 53}

^{Question 53}

^{Which one of the following is not an integer?}

^{Answer 53}

^{Answer 53}

^{The set of integers includes all whole numbers, their negatives and zero.Integers = {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...}√2 = 1.414..., therefore, is not an integer.}

^{Question 54}

^{Question 54}

^{The diagram shows two adjacent sides of a regular polygon. What is the name of the polygon?}

^{Answer 54}

^{Answer 54}

**Method 1**:

The total of all Exterior Angles is 360°, and 360°/40° = 9

So it is a 9-sided polygon, or nonagon.

**Method 2**:

The Exterior Angle is 40°, so the Interior Angle is (180° − 40°) = 140°

If one interior angle of the polygon is 140°, and n is the number of sides, then

(n − 2) × 180°/n = 140°

⇒ 180(n − 2) = 140n

⇒ 180n − 360 = 140n

⇒ 180n − 140n = 360

⇒ 40n = 360

⇒ n = 360/40 = 9

So it is a 9-sided polygon, or nonagon

^{Question 55}

^{Question 55}

What value of x makes the sentence x + 8 = 11 true?

^{Answer 55}

^{Answer 55}

3 + 8 = 11 is true.

So, x = 3

^{Question 56}

^{Question 56}

Add the decimal numbers 2.7 and 4.1

^{Answer 56}

^{Answer 56}

Put the decimals one under the other, keeping the decimal points in line. Add just like you would add whole numbers:

2.7+4.1=6.8

^{Question 57}

^{Question 57}

Divide (4x^{2} − 6x) by 2x

^{Answer 57}

^{Answer 57}

^{Question 58}

^{Question 58}

What is 219,376 rounded to the nearest 1,000?

^{Answer 58}

^{Answer 58}

The digit in the hundreds place (3) is less than 5, so the 9 (in the thousands place) is rounded down to 9.

So 219,378 rounded to the nearest 1,000 is 219,000

^{Question 59}

^{Question 59}

^{}

^{}

^{Answer 59}

^{Answer 59}

^{Question 60}

^{Question 60}

How far has the ant walked?

^{Answer 60}

^{Answer 60}

Answer to the nearest centimeter.

Distance walked = Circumference = 2 × π × 20 cm

= 125.66... cm

= 126 cm to the nearest cm

^{Question 61}

^{Question 61}

Use (22/7) as an approximation for π

^{}

^{}

^{Answer 61}

^{Answer 61}

If the diameter is 14 cm, then the radius is 7 cm.

So the area of the largest circle, A is given by

And so the area of the largest circle would be 154 cm

^{2}

^{}

^{Question 62}

^{Question 62}

^{How many acute angles are there in this pentagram?}

^{}

^{Answer 62}

^{Answer 62}

^{Each of the five triangles at the points of the pentagram has three acute angles.So there are 5 × 3 = 15 acute angles altogether in the pentagram.(All other angles are not acute)}

^{}

^{Question 63}

^{Question 63}

Kyle started with 9,000 coins and gave away 1,000 every day until he had 4,000 left.

How many days did that take?

^{Answer 63}

Kyle started with 9,000^{Answer 63}

After 1 day he had 8,000

After 2 days he had 7,000

After 3 days he had 6,000

After 4 days he had 5,000

After 5 days he had 4,000

So it took 5 days.

^{Question 64}

^{Question 64}

^{Answer 64}

The last digit is less than 5, so we round the 5 down^{Answer 64}

And so, 151 rounded to the nearest ten is 150

^{Question 65}

^{Question 65}

How many twelfths does Grace have?

^{Answer 65}

^{Answer 65}

Altogether one whole cake is equal to twelve twelfths.

^{Question 66}

^{Answer 66}

^{Answer 66}

However, -8x and 7x are like terms, so can be simplified:

-8x + 7x = -1x = -x

Similarly, 11y and -2y are like terms, so can be simplified:

11y − 2y = 9y

Therefore

-8x + 11y − 2y + 7x = -x + 9y

^{Question 67}

^{}

^{}

^{Answer 67}

^{Answer 67}

6 + 4 = 10, so x = 6

^{Question 68}

What is the perimeter of this shape?

^{Answer 68}

^{Answer 68}

Remember to add all the numbers shown.

3 + 3 + 3 + 3 + 3 + 3

Six 3s are 18

^{Question 69}

How long is the pencil according to the ruler?

^{Answer 69}

^{Answer 69}

"cm" means centimeters.

The pencil starts at 2 cm, and ends at the 11 cm mark.

11 - 2 = 9

So it is 9 cm long.

^{Question 70}

5 − 4 + 3 − 2 + 1 = ?