Free Printable 2020 Math 1 (CORE) Final

1.

Write 46,479 correct to 3 significant figures

a)

46,480

b)

4,647

c)

465

d)

46,500

2.

The thickness of a sheet of aluminium is measured to be $1.25312\times10^{-6}\ cm$ . Five sheets of the aluminium are placed on top of each other without any air-spaces between the sheets, to make one new sheet. What is the total thickness of the new sheet of aluminium? Give your answer in standard form.

a)

$6.2656\times10^{-12}$

b)

$6.2656\times10^{-6}$

c)

$6.2656\times10^{+6}$

d)

$6.2656\times10^{12}$

3.

The height, h metres, of a boy is 1.72 m, correct to the nearest centimetre. Complete this statement about the value of h.

a)

$1.715\le h<1.725$

b)

$1.715\le h\le1.725$

c)

$1.715<h\le1.725$

d)

$1.715\le h\ge1.725$

4.

Workout the least common multiple $\left(LCM\right)$ of 18 and 21

a)

$144$

b)

$72$

c)

$126$

d)

$72$

5.

Write the highest common factor (HCF) of 54 and 45

a)

3

b)

9

c)

6

d)

18

6.

Troy has an apple. He gave a quarter of the apple to Oneka, and 2/3 of the apple Hewitt. How much of the apple does he have remaining?

a)

$\frac{1}{4}$

b)

$\frac{1}{3}$

c)

$\frac{1}{6}$

d)

$\frac{1}{12}$

7.

$\frac{a^{-4}\times a^2}{a^{-2}}$ Evaluate:

a)

$a^{-2}$

b)

$1$

c)

$a^2$

d)

$a$

8.

Write the number 135 as the product of its prime numbers

a)

$5\times27$

b)

$3\times3\times15$

c)

$9\times3\times5$

d)

$3^3\times5$

9.

Kaylani is baking cookies that is enough for one person. Her recipe calls for $\frac{2}{3}$ of a cup of milk. Lori decides she wants to make enough for six persons. How many cups of milk would be needed for six persons.

a)

2

b)

6

c)

8

d)

4

10.

A doctor has 24,000 patients. 9120 of these patients are male. What percentage are male?

a)

3.8%

b)

62%

c)

38%

d)

6.2%

11.

Factor completely $10t+16tw$

a)

$2\left(5t+8w\right)$

b)

$10t\left(1+6w\right)$

c)

$2t\left(5+8w\right)$

d)

$5\left(2t+8w\right)$

12.

Expand and simplify the expression $6\left(2y-3\right)-5\left(y+1\right)$

a)

$7y-13$

b)

$17y-13$

c)

$17y+23$

d)

$7y-23$

13.

$7,\ 5,\ 3,\ 1,\ -1$ represents a sequence of numbers, find the nth term for the sequence.

a)

$-2n-9$

b)

$-2n+9$

c)

$2n+9$

d)

$2n+6$

14.

Work out the value of $\frac{^3\sqrt{512}}{6^2}$ , leaving your answer in its lowest form of a fraction.

a)

$\frac{2}{9}$

b)

$\frac{1}{3}$

c)

$\frac{8}{36}$

d)

$\frac{4}{9}$

15.

A garden in the shape of a rectangle has a length of $5f+2g$ and width of $3f-4g$ . Calculate the perimeter of the garden. Give your answer in its simplest form.

a)

1 $8f-2g$

b)

1 $16f-4g$

c)

$16f+4g$

d)

$f-4g$

16.

For a universal set of numbers where $\xi=\left\{1,2,3,4,5,6,7,8,9,10,11\right\}$ , let A be the set of odd numbers and B be the set of prime numbers. Draw a Venn Diagram to represent this scenario.

a)

b)

c)

d)

17.

Write the following set in Set-Builder form: $\left\{1,4,9,16,25\right\}$

a)

{x: x is a perfect square natural number}

b)

{x: x is a perfect square natural number less than 25}

c)

{x: x is a perfect square natural number up to 25}

d)

{x: x is a prime number or even number less than 25}

18.

The diagram shows a line that has a gradient of 2. Write the equation of the line.

a)

$y=3x+2$

b)

$y=2$

c)

$y=2x+3$

d)

$y=2x-3$

19.

Rearrange the equation $q=\frac{a+2}{4}$ to make $a$ the subject of the equation.

a)

$a=4q+2$

b)

$a=4q-2$

c)

$a=2q+4$

d)

$a=2q-4$

20.

$8x-6y=-20$
$-16x+7y=30$

Solve the systems of equations and give your answer as an ordered pair

a)

$\left(2,\ -1\right)$

b)

$x=2,\ y=-1$

c)

$\left(-1,\ 2\right)$

d)

$x=-1,\ y=2$

2020 Math 1 (CORE) Final

Total questions: 20

Worksheet time: 10mins

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