Math Additions

Question 1

Given the formula v=u-9.8t
Find the value of v when u = 4 and t= -7

Answer 1

V= u-9.8t
v=4−9.8(−7)
v= 4 + 68.6
v=72.6v

Question 2

At the end of the day a shop keeper has 12 tins of cat food left this is 3/13 of the number he had at the beginning of the day. Calculate the number of tins he had at the beginning of the day

Answer 2

13/3 × 12
4.333333333×12
=52

Question 3

Workout 3 1/2+ 2 3/4

Answer 3

6 1/4

Question 4

Workout 5 2/3 - 3 1/4

Answer 4

2 5/12

Question 5

4 2/3 ÷ 2 1/5

Answer 5

2 4/33

Question 6

2 1/4 × 1 2/3

Answer 6

3 3/4 or 15/4 if they said as an improper fraction

Question 7

3 1/2 × 2 2/5

Answer 7

42/5 or as a mixed fraction 8 2/5

Question 8

spinner has five sides. Each side is painted red, blue, green, yellow, and purple. The table shows some of the probabilities of the spinner landing on each color:
Red: 0.2
Blue: 0.15
Green: 0.25
Yellow: 0.3
Purple: blank
Complete the table and find the probability that the spinner lands on red or yellow.

Answer 8

0.2+0.15+0.25+0.3+purple= 1
1-0.9= 0.1
Table Complete
red+yellow =0.2+0.3=0.5
The probability it lands on red or yellow is 0.5

Question 9

Solve the equation x²+5x-7=0 you must show all your working and give answers correct to 2 decimal places

Answer 9

x= 1.14 x= -6.14

Question 10

Simplify 2x²+5x-12/4x²-9

Answer 10

Factorise numerator which is (2x−3)(x+4).
(4x²-9) this is a difference of two square (2x-3)(2x+2)
(2x-3)(x+4)/(2x-3)(2x+4)
= x+4/2x+3

Question 11

x²-9/x²+6x+9

Answer 11

x-3/x+3

Question 12

11x−3≥2(2x+9)

Answer 12

x≥3

Question 13

8x−5≥3(3x+7)

Answer 13

x≤−26
When you divide or multiply an inequality by a positive number, the inequality sign stays the same. But when you divide or multiply by a negative number, the inequality sign flips.