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Cambridge Stage 7 : Quiz 1

Total questions: 22

Worksheet time: 40mins

Name
Class
Date
1.

What is the base in a power?

a)

The number that shows how many times the base is used as a factor.

b)

A letter that stands for an unknown number.

c)

The number that is used as a repeated factor.

d)

A particular point or step in the development of something.

2.

Write 3 x 3 x 3 x 3 using an exponent.

a)

81

b)

34

c)

43

d)

12

3.

3 × ( 5 × ? ) = 30

a)

5

b)

2

c)

10

d)

450

4.

Expand and simplify.

5(2y−3)−2(7−3y)5\left(2y-3\right)-2\left(7-3y\right)  

4 lines
5.

If 5600=2x×5y×7z5600=2^x\times5^y\times7^z  , find the value of z.

4 lines
6.

Round off 42.59867 to 2 decimal places.

4 lines
7.

Without using calculator, evaluate 179\sqrt[]{1\frac{7}{9}}  .

4 lines
8.

Evaluate (−2)3×83+(−3)2\left(-2\right)^3\times\sqrt[3]{8}+\left(-3\right)^2  .

4 lines
9.

Without using calculator, evaluate 8−1.3×58-1.3\times5  

4 lines
10.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
11.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
12.
Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. On what date will she do both classes and go to the library?
a)
24 days
b)
36 days
c)
42 days
d)
52 days
13.

Simplify the following.

- (4 - x)

a)

-4 - x

b)

-4 + x

c)

4 - x

d)

4 + x

14.

112g=1341\frac{1}{2}g=1\frac{3}{4}  Solve the following equation for g.

a)

g =  76\frac{7}{6}  

b)

g =  187\frac{18}{7}  

c)

g =  45\frac{4}{5}  

d)

g =  218\frac{21}{8}  

15.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

1 hour

b)

2 hours

c)

3 hours

d)

4 hours

16.

Solve the equation.

3x - 2 = x + 10

17.

Solve the linear equation for x:

3x - 7 = 8

a)
2x = 15
b)
10
c)
5
d)
-1
18.

Solve the equation for y:

2y - 6 = 10

a)
-2
b)
4
c)
12
d)
8
19.

FInd the value of x:

3(2x +1) = 27

a)
6
b)
4
c)
5
d)
7
20.

What is the solution to the equation?

2(x-3) = 14

a)
5
b)
10
c)
7
d)
12
21.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
22.
Solve:
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4