Top 10 Difficult Questions for Grade 7 Mathematics
Question Number: 1
Jasmin takes three walks a day. If her walks last 30 minutes, 47 minutes, and 1 hour,
respectively, and she walks a total of 4 miles a day, which of the following reflects the
approximate pace she walks?
A)
B)
C) Correct Answer
D)
two and a quarter miles per hour
two and a half miles per hour
one half mile per hour
one quarter mile per hour
Explanation:
First, determine the total number of minutes Jasmine walks: 30 minutes + 47 minutes + 1
hour = 2 hours, 17 minutes. This is approximately 2 and a quarter hour or 2.25 hours.
Next, since Jasmin walked a total of 4 miles, divide the distance travelled by time. 4
miles/(9/4) hours. The result is approximately equal to one and half mile per hour.
standard: 7.RP.1
Question Number: 2
You are going to a movie, and your friend says it is showing some time on the weekend
between noon and 8, but won't say when, exactly.
What are the chances it is playing on Sunday between 6 and 8?
A) Correct Answer
B)
C)
D)
12.5%
25%
37.5%
50%
Explanation:
Rationale:
There are two days on the weekend, so P(Sunday) = 0.5
There are 8 hours between noon and 8, but you are only interested in the hours between 6
and 8 which is 2 hours. Therefore:
P(Your Time) = 2/8 = 0.25
And:
P(Sunday and Your Time) = P(Sunday) × P(Your Time) = 0.5 × 0.25 = 0.125
Or a 12.5% chance
7.SP.6
Question Number: 3
Todd ran three-fourths of a half mile and dropped out of the 800 meter race. His pace was
12 miles an hour until the point he dropped out of the race. About how many minutes did
he run?
A)
B)
C)
D) Correct Answer
1 minute
1.5 minutes
3 minutes
2 minutes
Explanation:
We know that speed * time = distance travelled
Todd's speed was 12 miles/hour.
The distance travelled = 3/4 * half a mile = 3/8 of a mile
Therefore t = distance / speed
1 hour = 60 minutes
t = (3*60)/(8*12) mins
t = 180/96
t = 1.875 approximately = 2 minutes.
CCSS: 7.RP.A.1.
Question Number: 4
Bill is working out by running up and down steps at the local stadium. He runs a different
number of steps in a random order.
Which of the following is his best time?
A)
B) Correct Answer
C)
D)
25 steps in 5 minutes
30 steps in 5.5 minutes
20 steps in 4.5 minutes
15 steps in 4 minutes
Explanation:
To answer the question we must find in which case he ran the most steps per minute.
Since he is running up and down, we double the number of steps; so
50/5 = 10 steps per minute
60/5.5 = 10.9 steps per minute *
40/4.5 = 8.9 steps per minute
30/4 = 7.5 steps per minute
30 steps in 5.5 minutes gives an average of 10.9 steps per minute which is his best time.
30 steps in 5.5 minutes is the correct answer.
CCSS: 7.RP.A.1.
Question Number: 5
Joel rolls two dice at the same time. What is the probability that he will roll a sum of
eleven?
A)
2
24
B) Correct Answer
1
18
C)
11
36
D)
1
6
Explanation:
There are two possible ways to roll a total of 11 on two dice (5 + 6, or 6 + 5). There are 36
possible rolls in all. Therefore, the probability of rolling a sum of 11 on two dice is 2/36, or
1/18.
standard 7.SP.7b
Question Number: 6
Danny rolls two number cubes (dice), one red and one blue. What is the probability that
he will roll a 2 on the red cube and a 6 on the blue cube?
A)
1
6
B)
2
15
C)
1
18
D) Correct Answer
1
36
Explanation:
The probability of both events happening is the product of the probabilities of each event
happening individually. The probability of rolling a 2 on the red cube is 1/6. The probability
of rolling a 6 on the blue cube is 1/6. The probability of both events happening is 1/6 x 1/6 =
1/36.
standard: 7.SP.6
Question Number: 7
Which of the following statements about inversely proportional relationships is Not true?
A)
B) Correct Answer
C)
D)
As one quantity increases, the other decreases.
If a = 1, b = 2,and c = 3, then d = 6 in a/b = c/d.
As elevation increases, air pressure decreases.
2/1 = 1/ (1/2)
Explanation:
If a = 1, b = 2,and c = 3, then d = 6 in a/b = c/d.
This would mean that 1/2 = 3/6 is an inverse proportion; but it is not inverse. It is a direct
proportion.
Since we are looking for a statement that is NOT true, "If a = 1, b = 2,and c = 3, then d = 6 in
a/b = c/d" is the correct choice.
7.RP.A.2.
Question Number: 8
How much water will fill a pool shaped as a triangular prism given its length is 13m, a
height of 6m and base of 2m?
A) Correct Answer
B)
C)
D)
78 m3
156 m3
21 m3
19 m3
Explanation:
Volume of a triangular prism = 1/2bhl
V = 1/2(2)6(13)
V = 1/2 (12)13
V = 1/2 156
V = 78 m3
Standard: 7.G.6
Question Number: 9
Mary swam five and one-half laps in four minutes.
Which of the following would represent an improvement in her speed?
A) Correct Answer
B)
C)
D)
1.5 laps per minute
1.375 laps per minute.
0.73 minutes per lap
1 minute per lap
Explanation:
5.5 laps / 4 min = 1.375 laps / min
1.5 laps per minute would be faster than 1.375 laps / min.
0.73 min / lap
CCSS: 7.RP.A.1.
Question Number: 10
Bill eats 30 small meals every 7 days. In 4 and a half days, about how many meals did Bill
eat?
A)
B) Correct Answer
C)
D)
21 meals
20 meals
18 meals
24 meals
Explanation:
To solve this problem, set up a proportion:
(Meals)/(days) = (Meals)/(days)
Plug in the numbers (you can convert to decimals to simplify the process):
(30 meals)/(7 days) = (x meals)/(4.5 days)
Using cross products a/b = c/d is ad = bc
(30)(4.5) = (7)(x)
135 = 7x (solve for x by dividing each side by 7)
19.28 = x (round up to the nearest whole meal).
Therefore, Bill ate 20 meals in 4.5 days.
CCSS: 7.RP.A.1.