math

Question 1

how to find hcf

Question 2

how to find lcm

Question 3

Work out (4 × 10 to the power of 3
) × (6 × 10 to the power of −5)
Give your answer in standard form

Answer 3

Step 1: Multiply the numbers

Step 2: Multiply the powers of 10

Step 3: Combine the result

This is not yet in standard form because in standard form, the number must be between 1 and 10.

Step 4: Convert to standard form

24=2.4×10

Question 4

how to divide standard form

Answer 4

divide numbers then minus the powers - then put into standard form

Question 5

simplify the surd 48

Answer 5

square root 4 x square root 12

square root 2 x squre root 12

square root 2 x square root4 square root3

2 x 2 square root 3
4 square root 3

Question 6

can you multiply surds

Answer 6

yes

Question 7

hwo to rationalise a denominator

Answer 7

A: Multiply the top and bottom of the fraction by the same surd.

How do you rationalise a denominator with two terms, one of which is a surd?

A: Multiply the top and bottom by the conjugate of the denominator (same terms, opposite sign).

Question 8

The triangle is 10 cm² greater than the rectangle.”

Answer 8

This tells us:

Triangle’sarea=Rectangle’sarea+10

Question 9

When triangles are similar:

Answer 9

Ratioofareas

(
Ratioofcorrespondingsides
)
2
Ratioofareas=(Ratioofcorrespondingsides)
2

Question 10

how to calclate speed

Answer 10

speed= distance divided time

Question 11

hwo to figure out distance

Answer 11

speed x time

Question 12

hwo to find mass

Answer 12

density x volume