Y7 Term 1, 2021

Number

100

783 + 192 =

975

200

-3 x 5 x -7 =

105

300

52 - 4(17 - 12) + 4 x 7 =

52 - 4(5) + 28

= 52 - 20 + 28

= 32 + 28

= 60

400

Find the HCF of 36 and 81

HCF = 9

500

2[2 + 2(39 - 2(17 + 2))]

2[2 + 2(39 - 2(19))]

= 2[2 + 2(39-38)]

= 2[2 + 2(1)]

= 2 x 4

= 8

Indices

100

Simplify y x y x y

y³

200

Express 4 x 4 x 6 x 6 x 6 x 8 in index notation

4² x 6³ x 8

300

List the first 5 cube numbers

1, 8, 27, 64, 125

(1³, 2³, 3³, 4³, 5³)

400

Express 750 as a product of its prime factors using index notation.

750 = 2 x 3 x 5³

500

4m²n x 2m⁴n³ x - m

-8m⁷n⁴

Substitution

100

Evaluate 2x + y if x = 2, y = 6

2(2)+6

=4+6

=10

200

Evaluate 5x + y + 8 if x = 3 and y = 4

5(3)+4+8

=15+4+8

=27

300

Evaluate 3p² + t if p = 4 and t = 5

3(4)²+5

=3(16)+5

=48+5

=53

400

Evaluate 10 - (2xy + y) if x = 3 and y = 4

10-(2x3x4+7)

=10-(24+7)

=10-31

=-21

500

Evaluate 6(x-y)²+3 if x = 3 and y = - 4

6(3--4)²+3

=6(7)²+3

=6(49)+3

=294+3

=297

Algebra

100

12a - 3b + 4a + 9b

16a + 6b

200

Simplify 4 x a x b x a x 3

12a²b

300

6ab² - 8b²a + a²b +5a²b - 4

-2ab² + 6a²b - 4

400

Simplify 56ab/7b

8a

500

12xy²/-9x³y

-4y/3x²

Expanding Brackets

100

Expand 8(x + 7)

8x + 56

200

Expand 10(8 - y)

80 - 10y

300

Expand and simplify 6(k+5) +3k

6k + 30 + 3k

=9k + 30

400

Expand 3a(2a + b - 3)

6a² + 3ab - 9a

500

Expand & simplify (2a - 1)²

(2a - 1)(2a - 1)

=4a² - 2a - 2a + 1

=4a² - 4a + 1