Math

Question 1

Solve 4(3x-5)= 22

Answer 1

12x-20=22
+20
12x=42
X=3.5

Question 2

Expand and Simplify 3(2x-1)+2(x-3)

Answer 2

6x+2x. -3,-6

8x-9

Question 3

How do you work out the exterior angle of ANY shape?

Answer 3

360÷number of sides

Question 4

How do you tackle a shape angle question?

Answer 4

Corresponding angles for an equal/ parallel sides and pay attention to the arrows showing its parallel!

Question 5

Laura buys VBucks in the UK for £850. Steve buys some VBucks in France for €990 with €15 delivery. £1 = €1.18 Who’s VBucks are cheaper?

Answer 5

990+15=1005
1005÷1.18= 851.69
UK VBucks are cheaper

Question 6

Grid Question! The graph must be curved . Reflect on your points of they don’t make a curved graph. Draw the line y= -3

Answer 6

Take the first big of advice. Draw a line going across the -3 Y axis.X= -3 the line would go through -3 x axis going DOWN

Question 7

A drink is made by mixing 650ml of water and 150ml of juice. What percentage of the drink is juice?

Answer 7

150÷800 (150+650) =18.75%

Question 8

Divide £720 I not the ratio 5:1

Answer 8

720÷6 120
120x5=600.

600:120

Question 9

The arrow on the spinner is equally likely to land on each section. The arrow is spun 72 times. numbers 1,2,3,3,4,4. How many times should it land on 4?

Answer 9

1/3 chance. 72÷3=24

24

Question 10

How do you work out:
Circumference
Diameter

Answer 10

Circumference= 2x πx Radius
Diameter= 2R or Circumference/π

Question 11

A diagram shows a quadrilateral. In each corner degree they read: 2x, x+25°, 2x+30° and 2x-10°. Work out the Value of X…

Answer 11

2x+2x+30+x+25+2x-10
7x+45°=360
360-45=315
315÷7=45
X=45°

Question 12

Pen=p Ruler=r protractor= 30p Calculator= £1.20. Write an expression for the cost of y protractor and w calculators. Give your answer in pence.

Answer 12

30y +120w

Question 13

Two pens and a ruler cost £2.65. One pen and five rulers cost £2. What is the cost of a pen. What is the cost of a ruler?

Answer 13

2p+r=£2.65
P+5r=£2.  (X2)
2p+10r= £4    (Subtract)
2p+r.   = £2.65              
9r= £1.35. 
R=15p.         Put this in the formula given to work out P.     P=£1.25

Question 14

What is cumulative Frequency?

Answer 14

The total frequency so far. Eg 12,11,25,39,13 the C.F. is 12,23,48,87,100

Question 15

Boxplot.yay… The youngest supporter is 8. The oldest is 69. Draw a boxplot. Do you know how to?

Answer 15

On the graph to up from the two ages and find a midpoint. Then draw a line at the upper and lower bearing. The start of the box should be the lower. The ages should link to the middle of the box with a line.
_____
8—|___|_|—-69

Question 16

What is 0.21°3°. ( the ° is recurring) as a fraction?

Answer 16

X=0.213
10x=2.13
100x=213.13. (Subtract)
90x=211

211/990

Question 17

What is the difference between simple and compound interest?

Answer 17

Simple= always use the original amount and add on the percentage of the original amounta
Compound=add on each year the percentage of the last year as the amount increases, they use the new amount next year.