GRADE 7
ENTRANCE EXAM REVIEWER
MATHEMATICS
1. What is the simplest form of
a.
b.
c.
d.
1. Ans. c.
2
7
12
42
?
1
3
3
5
2
7
4
7
- To find the simplest form
of fraction, divide both the numerator
and denominator by their greatest
common divisor (GCD).
12
42
÷ 𝑏𝑜𝑡ℎ 𝑏𝑦 6 =
2
7
2. Which of these lies between 5.3 and
5.6?
a. 5.2
b. 5.9
c. 5.04
d. 5.42
2. Ans. d. 5.42
3. The teacher bought some cookies
for her class. After giving three cookies
each to 15 students who had
completed their assignments, she has
60 cookies left with her. How many
cookies did she bring to the class?
a. 45
b. 78
c. 105
d. 150
3. Ans. c. 105
3 x 15 = 45 cookies
45 cookies + 60 cookies = 105 cookies
4. There are 300 students in a school.
40 percent of the students are boys,
and 20 percent of the girls like to
swim?
a. 36
b. 60
c. 120
d. 180
4. Ans. a. 36 girls
60% girls
Number of girls in the school
= 60% of 300
=0.60 x 300
= 180 girls
Number of girls like to swim
=20% of 180
=0.20 x 180
=36
5. Simplify the following expression:
3 + 6 × (5 + 4) ÷ 3 − 7
a.
b.
c.
d.
11
12
14
15
5. Ans. c. 14
PEMDAS
● Parenthesis
● Exponent
● Multiplication/ Division
● Addition/Subtraction
= 3 + 6 × (5 + 4) ÷ 3 − 7
=3 + 6 × 9 ÷ 3 − 7
=3 + 6 × 3 − 7
= 3 + 18 − 7
= 3 + 18 − 7
= 21 − 7
= 14
6.Simplify:
150 ÷ ( 6 + 3 × 8) − 5
a. 0
b. 2
c. 5
d. 7
6. Ans. a. 0
PEMDAS
= 150 ÷ ( 6 + 3 × 8) − 5
= 150 ÷ ( 6 + 24) − 5
= 150 ÷ 30 − 5
=5 − 5
=0
7. How many digits answer will we get
when we add 99 + 1?
a. 1
b. 3
c. 99
d. 100
7. Ans. b. 3
99 + 1= 100
100 is a 3-digit number
8. Find the value of N in the sequence
85, 70, 55, N, 25.
a. 35
b. 40
c. 45
d. 50
8. Ans. b. 40
85, 70, 55, N, 25
-15 -15 -15 -15
55- N= 15
55-40 =15
N=40
9. What is ⅓ of the
between 35 and 8?
a. 5
b. 7
c. 9
d. 11
difference
9. Ans. c. 9
= ⅓ of (35-8)
=⅓ x 27
=9
10. What is ¼ of the sum of 800 and
24?
a. 206
b. 260
c. 310
d. 324
10. Ans. 206
= ¼ of (800+24)
=¼ x (800 + 24)
= ¼ x (824)
= 206
GRADE 7
ENTRANCE EXAM REVIEWER
NUMBER SERIES
A number series is a collection of
numbers that follow a pattern.
Candidates must locate the missing or
incorrect number in the given series.
1. Look at this series: 2, 1, (1/2), (1/4),
... What number should come next?
a. ⅓
b. ⅛
c. 2/8
d. 1/16
1. Ans. b. ⅛
This is a simple division series; each
number is one-half of the previous
number. In other terms to say, the
number is divided by 2 successively to
get the next result.
4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.
2. Look at this series: 7, 10, 8, 11, 9,
12, ... What number should come
next?
a. 7
b. 13
c. 12
d. 10
2. Ans. d. 10
This is a simple alternating addition
and subtraction series. In the first
pattern, 3 is added; in the second, 2 is
subtracted.
3. Look at this series: 36, 34, 30, 28,
24, ... What number should come
next?
a. 20
b. 22
c. 23
d. 26
3. Ans. b. 22
This is an alternating number
subtraction
series. First, 2 is
subtracted, then 4, then 2, and so on.
4. Look at this series: 22, 21, 23, 22,
24, 23, ... What number should come
next?
a. 22
b. 24
c. 25
d. 26
4. Ans. c. 25
In this simple alternating subtraction
and addition series; 1 is subtracted,
then 2 is added, and so on
5. Look at this series: 53, 53, 40, 40,
27, 27, ... What number should come
next?
a. 12
b. 14
c. 27
d. 53
5. Ans. b. 14
In this series, each number is
repeated, then 13 is subtracted to
arrive at the next number.
6. Look at this series: 2,5,8,11,14, __
What number should come next?
a. 15
b. 16
c. 17
d. 18
6. Ans. c. 17
Common difference is 3
An arithmetic sequence is an ordered
set of numbers that have a common
difference between each consecutive
term.
7. Look at this series: 5,9,13,17, __
What number should come next?
a. 23
b. 22
c. 21
d. 20
7. Ans. c. 21
Common difference is 4
8. Look at this series: 27, 21, 15, 9, __
What number should come next?
a. 2
b. 5
c. 1
d. 3
8. Ans. d. 3
Common difference is 6
9. Look at this series: 3, 6, 12, 24, __
What number should come next?
a. 40
b. 54
c. 48
d. 36
9. Ans. c. 48
Common ratio 2 (geometric sequence)
- A geometric sequence has a
constant ratio between each pair of
consecutive terms. This would create
the effect of a constant multiplier.
10. Look at this series: 4, 12, 36 __
What number should come next?
a. 120
b. 108
c. 168
d. 112
10. Ans. 108
Common ratio is 3