Year 8 Term 1

Question 1

What is the number at the bottom of an indices?

Answer 1

The base number

Question 2

What is the number at the top of an indices?

Answer 2

The index or Power

Question 3

How to multiply indices with the same base?

Answer 3

You add the power.

Question 4

How to divide indices with the same base?

Answer 4

You subtract the powers?

Question 5

How to raise the power?

Answer 5

You multiply the power in the bracket to the one outside the bracket.
i.e. (a^b)^c=a^bc

Question 6

What is z^1?

Answer 6

z

Question 7

What is z^0?

Answer 7

1

Question 8

What is z^-a?

Answer 8

1/z^a

Question 9

What is z^1/y?

Answer 9

yth root of z

Question 10

How to change the base of an index number?

Answer 10

Dividing each period’s value by the desired base period value, and then multiplying by its base scale

Question 11

How to expand double brackets?

Answer 11

1. Multiply the first number in each of the brackets
   together.
2. Multiple the fist number of the first bracket and
   the second number of the second bracket
   together.
3. Multiple the second number of the first bracket
   and the first number of the second bracket
   together.
4. Multiply the seconds of the the fist and second
   brackets together.
5. Simplify the equation.

Question 12

How to expand triple brackets?

Answer 12

1. Multiply the first number in each of the brackets
   together.
2. Multiple the fist number of the first bracket and
   the second number of the second bracket
   together.
3. Multiple the second number of the first bracket
   and the first number of the second bracket
   together.
4. Multiply the seconds of the the fist and second
   brackets together.
5. Simplify the equation.
6. Multiply the product of that and the thirst bracket
   the same way as the first time
7. Simplify the equation

Question 13

How to factorise triple brackets?

Answer 13

Find the HCF of the numbers of the numbers in the bracket

Question 14

How to factorise quadratics?

Answer 14

T=times
E= end
A= add for the
M=middle

Question 15

How to do difference of two squares?

Answer 15

( a + b ) ( a − b ) = a 2 − b 2
(a+b)(a-b)=a^2-b^2
(a+b)(a−b)=a2−b2.

Question 16

What is Pythagoras’s theorem?

Answer 16

The square on the hypotenuses is equal to the sum of the other two sides.

Question 17

What is the formula for Pythagoras’s theorem?

Answer 17

a^2+b^s=c^2
c^2-a^2= b^2
c^2-b^2=a^2

Question 18

How to do 3d Pythagoras?

Answer 18

• If the base of the prism has dimensions x and y, and
  the diagonal along the base is represented by c,
  then x² + y² = c². The longest diagonal in the solid, s,
  is the hypotenuse of the triangle formed by the
  sides c and the height of the solid, z. So we know
  that, c² + z² = s².
• You to the triangle on the base and then use that number as the base to find out the diagonal.

Question 19

How to change a number in to standard form?

Answer 19

To convert a number into standard form, split the number into two parts - a number between 1 and 10 multiplied by a power of 10.

Question 20

How to add fraction of the same denominator?

Answer 20

You add the numerators and keep the denominators the same.

Question 21

How to add fraction of the different denominator?

Answer 21

-First you find a common denominator.
- Then you change the denominators to the the same
number
- What you did to the bottom of one fraction you do
the same to the top of the fraction.
-You add the numerators and keep the denominator
the same

Question 22

How to subtract fractions

Answer 22

Step 1: Take the LCM of the denominator.
Step 2: Convert the denominators to the LCM Value
by multiplying the numerator and the
denominator by the same number.
Step 3: Once the denominator becomes equal,
subtract the numerator.
Step 4: Simplify the resulting fraction, if necessary.