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Entrance Examination Grade 7

Total questions: 20

Worksheet time: 1hrs 2mins

Name
Class
Date
1.

Write 12/25 as a decimal.

a)

0.52

b)

12.04

c)

2.083 (3 repeating)

d)

0.48

2.

Which of the following is a true statement?

a)

-5/6 > -4/9

b)

4.3 > 4 3/4

c)

13 5/8 = 13.625

d)

4/7 > 0.57(repeating)

3.

Maria spent 3/4 of an hour studying on Wednesday and 1 1/3 hours studying on Thursday. How much total time did she spend tutoring?

a)

2 1/12 hours

b)

1 4/7 hours

c)

1 1/4 hours

d)

1 hour

4.

Evaluate 63

a)

18

b)

186

c)

216

d)

729

5.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
6.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
7.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

8.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
9.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
10.
Find the area.
a)
60 in
b)
60 in2
c)
50 in
d)
50 in
11.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
12.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
13.

If the area of a circle is 25π inches², what is the diameter?

a)

10 inches

b)

5 inches

c)

25 inches

d)

25π inches

14.

If a circle has a diameter of 10 feet, which statement is true?

a)

The radius is 5 feet.

b)

The diameter is 20 feet

c)

The radius is 5π feet.

d)

The diameter is 20π feet.

15.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
16.
Solve for x.
a)
16
b)
11
c)
50
d)
6
17.
Simplify the algebraic expression:
5(2 - 3m) + 6(-2m +3)
a)
28 - 3m
b)
- 27m + 28
c)
-3m - 28
d)
None of these are correct
18.
Which of the following expressions are NOT equivalent?
a)
2s2 + (3s)2 - 8s
b)
8s(s - 1) + 3s2
c)
(4s)2 + (-8s) - 5s2
d)
All three are equivalent
19.
Find the Volume of the given figure.
a)
30 ft3
b)
36 ft3
c)
96 ft3
d)
11 ft3
20.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2