Grade 4 Flashcards

1
Q

8^4 x 8^3

131

A

8^7

POWERS ADD TOGETHER

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2
Q

3^10 / 3^3

131

A

3^7

POWERS MINUS

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3
Q

(K^8)^2

131

A

K^16

POWERS MULTIPLY

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4
Q

(2xy)^2

131

A

4 x^2 y^2

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5
Q

(2 x^2 y^3) ^3

131

A

8 x^6 y^9

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6
Q

2x x 3y

131

A

6xy

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7
Q

Find the midpoint of A (-4,-2) and B (2,0)

133

A

Find the midpoint of the X axis -> -1
Find the midpoint of the Y axis -> -1

Answer (-1,-1)

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8
Q

The midpoint of A and B is at (3.5, 2.5)
The coordinates of A are (2, 5)
Work out the coordinates of B

(133)

A

Find the difference in X and midpoint -> 1.5
Find the difference in Y and midpoint -> -2.5

Add the differences to the midpoint -> (5,0)

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9
Q

A silver necklace weighs 123g to the nearest gram, what is the lower and upper bounds?

(132)

A

122.5g

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10
Q

A door is 125 cm to the nearest 5cm, what are the lower and upper bounds?

(132)

A

122.5g

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11
Q

A square has sides of length 7 cm, correct to the nearest centimetre.
Calculate the lower bound for the perimeter of the square.
Calculate the upper bound for the area of the square.

(132)

A

Perimeter = 6.5 x 4 = 26

Area = 7.5 x 7.5 = 56.25 ( less than or equal to 56.24 cm^2)

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12
Q

2(x + y) + 3(x – y)

134

A

2x + 2y + 3x -3y

5x -y

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13
Q

4(x^2 + 2y^2)

134

A

4x^2 + 8y^2

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14
Q

2y^2 (3y^2 + 4y)

134

A

6y^4 + 8y^3

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15
Q

(4x – 6)(2x + 1)

134

A

8 x^2 -8x -6

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16
Q

(3x – 2y)(x – 5y)

134

A

3x^2 -17xy +10 y^2

17
Q

Solve
5(x + 3) = 2(x + 6)

(135)

A

EXPAND -> 5x + 15 = 2x + 12
3x=-3
x= -1

18
Q

4x + 3 / 5 = 2x – 1 / 2

135

A

Multiply out the bottoms
2 ( 4x + 3) = 5 ( 2x -1 )

Expand
8x + 6 = 10x -5

Solve

2x = 11

x = 5.5

19
Q

Make c the subject

a = b + cd

(136)

A

a-b =cd

a-b / d = c

20
Q

Make x the subject

y = 0.5 x + 2

(136)

A

2y = x + 4

2y - 4 = x

21
Q

The sides of a rectangle are x+5 and x , give a formula for the perimeter

(137)

A

x + 5 + x + 5 +5 + 5

2x +20

22
Q

The perimeter of a rectangle is 38cm
It has sides of x + 5 and 5
What is x?

(137)

A

2x + 20 = 38

2x = 18
x = 9
23
Q

140 Simultaneous equations graphically

A

GO ON MATHS WATCH

24
Q

138 inequalities on a number line

A

MATHS WATCH