iGCSE Revision Grade 6 | Baamboozle - Baamboozle

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What is A∩B on the Venn diagram?

Section of circles that is common for both.

Find the equation of the line perpendicular to 5y=2x-4 which passes through (0,7)

y=-5/2 x +7

Factorise n² – 3n – 18

(n - 6)(n + 3)

Find the value of 100 in a power of 1/2

10

P = 3a + 3b , make a a subject

a = (P - 3b) / 3

Write 5√27 in the form k√3 , where k is an integer.

15√3

A shop decreases prices by 10% and then by a further 20%. Rachel says: “Prices have now decreased by 30%”. Is Rachel correct? Why?

Price have decreased by 28% (1 - 0.9*0.8)

Expand and Simplify (2 + √3)(2 – √3)

4 - 3 = 1

Jon plays a game where he can win, draw or lose. The probability Jon wins any game 0.5. The probability Jon draws any game is 0.3. What is the probability he'll not lose both games?

0.64 [ (0.5+0.3)×(0.5+0.3) ]

Rationalise the denominator 6/√3

6√3/3 = 2√3

In a bag there are blue sweets, red sweets and green sweets. The ratio of blue sweets to red sweets to green sweets is 2:4:5 What fraction of the sweets are red?

4/11

In a bag there are blue sweets, red sweets and green sweets. The ratio of blue sweets to red sweets to green sweets is 5:3:2 What fraction of the sweets are green (simple)?

1/5

Line A passes through the points (2, 1) and (5, 10) Find the equation of the line parallel to A that passes through (0,-5)

y = 3x - 5

Expand and simplify (5h + 2)(h + 4)

5h² + 22h + 8

What is A' on the Venn diagram?

All other elements that are not members of set A

Each day Paul wears either a black tie or a red tie to work. On any day the probability he wears a black tie is 5/9. Work out the probability Paul wears different coloured ties on Monday and Tuesday.

40/81 [5/9 × 4/9 + 4/9 × 5/9 ]

Alex invests some money for 3 years in a savings account. She gets 4% per annum compound interest. Alex has £5680.56 at the end of 3 years, work how much she invested.

£5050

Rachel has two bags. In the 1st bag: 4 red and 6 green balls. In the 2nd bag: 3 red and 5 green balls. Rachel takes at random a ball from each bag. What are the chances that she takes two green balls?

3/8 or 37.5% [ 6/10 × 5/8 = 30/80 ]

The diagram shows a sector, centre O. The radius of the circle is 8 cm. The angle of the sector is 150°. Calculate the area of the sector in terms of π

150/360 × π × 8² = 80π/3 (accept not simple answer)

Rationalise the denominator (1+√5)/√2

(√2+√10)/2

What is 8 in a power of -2/3 ?

1/2^2 = 1/4

Jo is going to play one tennis match and match of squash. The probability she will win the tennis match is 4/5, the squash: 7/10. Work out the probability that Jo will win both matches.

28/50 OR 14/25 OR 56% [4/5 × 7/10]

Make h the subject of the formula. d = sqrt [ 3h / 2 ]

h = 2d² / 3

AOB is a sector of a circle, centre O and radius 6 cm. The angle of the sector is 60°. Find the length of the arc AB in terms of π.

60/360 × 2π × 6 = 2π

Factorise 25x² - 196

(5x - 14) (5x + 14)

Factorise x² + 10x + 25

(x+5)²

Find 8 in a power of 1/3

2

Factorise x² – 8x + 7

(x-7)(x-1)

Make n the subject of: m = n² + 3

n = sqrt [m - 3]

Charlie invests £2500 for 3 years in a savings account. She gets 3% per annum compound interest in the first year, then x% for 2 years. Charlie has £2705.36 at the end of 3 years, work out the value of x .

2.5% ( sqr [2705.36/(2500*1.03)] -1 )

m = 5n + 2p , Make p a subject.

p = (m-5n) / 2

Find the value of (4/5) in a power of -2

25/16 or 1.5625

What is -125 in a power of 1/3 ?

-5

Work out 64 in a power of -1/3

1/4

Make b the subject of the formula: a = (3+c) / b

b = (3 + c) / a

Expand and simplify (m + 3)(m + 4)

m²+7m+12

Write 7√20 in the form k√5 , where k is an integer

14√5

What is A∪B on the Venn diagram?

Union (joint circles)

In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blue?

5 / 8