Midterm Review

• Mathematics
• Secondary Education

Find the square root of 121

Answer:

11

Find the cube root of 343.

Answer:

7

Without using a calculator, estimate, by rounding each number correct to 1 significant figure,

​19.78−9.8​​​​​√​10006.25​​​​​

Answer:  10

Without using a calculator, estimate, by rounding each number correct to 1 significant figure,

​1.78−0.89​​​​​√​9.25​​​​​

Answer: 3

Write the number 0. 123463 in standard form.

Answer:

1.23463 x 10^-1

Write the number 239.054 in standard form.

Ans: 2.39054 x 10^2

Ans.

2.39054 x 10^2

Write 200 as a product of its prime factors.

Ans:

2 x 2 x 2 x 5 x 5

Simplify.

(32y​5​​)​​5​​3​​​​

Ans.8y​3​​

Expand and simplify.
(5r -2s)(r + 3s)

Ans5r​2​​+13rs−6s​2​​

Factorise completely.

30n​2​​m​4​​−6p​3​​n​5​​m

100x​5​​y−x​4​​

6n​2​​m(5m​3​​−p​3​​n​3​​)

x​4​​(100xy−1)

Solve the equation

​z​​z−2​​=​10​​5​​

z = 4

Text

Answer:

a = 110 degrees

Ans:  x = 60

y = 40

Ans: x = 68 degrees

interior angle = 160 degrees

Ans: n = 15

Ans : 4140 degrees

Ans: a = 105 degrees

Ans :

170 cm^2

Ans:

 BC = 10.5 cm

Find the volume.

Ans: 

V = 64 x 5 = 320 cm^3

Ans: 

v = 32.7 cm^3

Ans: 

A = 2.47 cm^2

Work out 5/6 of 126kg.

A pair of shoes is on sale for $102.00. This is a reduction of 15% on the original price. What is its original price?

Find the area of the shaded region.

Expand and simplify.
(m -5n)(3m -2n)