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Mathematics 7: 3rd Quarterly Assessment Test

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3rd QUARTERLY ASSESSMENT TEST in Mathematics 7
School Year: 2024 – 2025
NAME: ____________________________ GR.& SEC._________ SCORE:________
Directions: Read the sentences below and identify what they refer to from the given choices below each. Encircle the
letter of the correct answer.
1. Which of the following sets includes all the integers?
A. {…, -3, -2, -1, 0, 1, 2, 3, …}
B. {1, 2, 3, 4, …}
C. {0, 1, 2, 3, …}
D. {…, -4, -2, 0, 2, 4, …}
2. On a number line, where are positive integers located relative to zero?
A. To the left of zero
B. To the right of zero
C. At the same position as zero
D. Above zero
3. What does it mean for an integer to be "greater than" another integer on a number line?
A. The greater integer is located to the left of the smaller integer.
B. The greater integer is located to the right of the smaller integer.
C. The greater integer is further away from zero, regardless of direction.
D. The greater integer is closer to zero, regardless of direction.
4. How can integers be used to represent real-life situations involving opposite directions?
A. By using positive integers for one direction and negative integers for the opposite direction.
B. By using different colors to represent opposite directions.
C. By using fractions to represent distances in opposite directions.
D. By using only positive integers and indicating the direction separately.
5. A submarine dives 50 metres below sea level. What integer represents the submarine's depth?
A. +50
B. -50
C. 0
D. 5
6. The temperature in a city rises by 7 degrees Celsius from -3 degrees Celsius. What is the final temperature?
A. -10 degrees Celsius
B. 4 degrees Celsius
C. 10 degrees Celsius
D. -4 degrees
Celsius
7. A set of integers is arranged in increasing order: -8, -6, x, 1, 5. What is a possible value for the integer represented
by 'x'?
A. -10
B. 6
C. -5
D. 8
8. Two integers, a and b, are compared. It is known that a < b. Which of the following statements must also be true?
A. a is positive and b is negative.
B. a is negative and b is positive.
C. b is located to the right of a on a number line.
D. a is located to the right of b on a number line.
9. A student claims that -10 is greater than -5 because 10 is greater than 5. Is the student's reasoning correct? Explain
why or why not.
A. Yes, the student is correct because the same rules of comparison apply to both positive and negative integers.
B. No, the student is incorrect. In the realm of negative integers, values further away from zero are smaller. -10 is
further to the left on the number line than -5, making it smaller.
C. It depends on the context of the situation being represented by the integers.
D. The student is partially correct, but further clarification is needed.
10. Which representation is more suitable for comparing the relative positions of -2, 0, and 3: a number line or a bar
graph? Justify your choice.
A. A bar graph, as it effectively shows the magnitudes of the numbers.
B. A number line, as it clearly displays the order and relative positions of the integers.
C. Both representations are equally suitable.
D. Neither representation is suitable for this purpose.
11. What is an integer?
A. Any whole number.
B. A number that can be written as a fraction.
C. A number that includes natural numbers, their opposites, and zero.
D. A number that is always positive.
12. When multiplying two integers with the same sign, what is the sign of the product?
A. Negative
B. Positive
C. Zero
D. It depends on the magnitude of the numbers.
13. What is the result of dividing zero by any non-zero integer?
A. Undefined
B. The same non-zero integer.
C. Zero
D. One.
14. What is the rule for adding two integers with different signs?
A. Add their absolute values and keep the sign of the larger integer.
B. Subtract their absolute values and keep the sign of the larger integer.
C. Add their absolute values and keep the sign of the smaller integer.
D. Subtract their absolute values and keep the sign of the smaller integer.
15. When using integer chips, what does a pair of one yellow chip and one red chip represent?
A. +1
B. -1
C. 0
D. It depends on the value assigned to each colour.
16. What is the definition of 'statistics'?
A. The study of collecting, organising and interpreting data to address a certain phenomenon.
B. The science of collecting and analysing numerical data.
C. The practice of using data to make predictions about the future.
D. The process of gathering information through surveys and experiments.
17. What is 'sampling' in the context of data collection?
A. The process of collecting data from an entire population.
B. The process of selecting a subset of a population for study.
C. The process of analysing data to draw conclusions.
D. The process of organising data into charts and graphs.
18. Why is it important to choose an appropriate sampling technique?
A. To ensure that the sample is representative of the population.
B. To make data collection easier and faster.
C. To guarantee that the results of the study are accurate.
D. To avoid the need for statistical analysis.
19. What is the key difference between simple random sampling and stratified sampling?
A. Simple random sampling is more accurate, while stratified sampling is more efficient.
B. Simple random sampling selects individuals randomly, while stratified sampling divides the population into
subgroups before random selection.
C. Simple random sampling is used for small populations, while stratified sampling is used for large populations.
D. Simple random sampling is used for qualitative data, while stratified sampling is used for quantitative data
20. A researcher wants to study the opinions of students in a school about a new school uniform policy. The school
has 1000 students divided into 4 year groups. The researcher decides to use stratified sampling and wants a
sample size of 100. How many students should be selected from each year group?
A. 10
B. 25
C. 50
D. 100
21. A company wants to survey customers who visit their store on a particular day. They decide to use systematic
sampling and survey every 5th customer who enters the store. This is an example of:
A. Simple random sampling
B. Stratified sampling
C. Cluster sampling
D. Systematic sampling
22. A study finds a correlation between the number of hours students spend studying and their exam scores. What
can be concluded from this finding?
A. Studying directly causes higher exam scores.
B. Students who score well on exams are more likely to study more.
C. There is no relationship between studying and exam scores.
D. Studying and exam scores are related, but more research is needed to determine causality.
23. What are the two main components of a simple frequency distribution table?
A. Mean and Median
B. Range and Standard Deviation
C. Category and Frequency
D. Independent and Dependent Variables
24. What is the key characteristic of a pie chart that makes it distinct from other types of graphs?
A. It uses bars of varying heights to represent data.
B. It shows the trend of data over time.
C. It represents data as slices of a circle, with each slice proportional to the category's share of the whole.
D. It uses dots to represent individual data points.
25. In the context of data representation, what does a 'sector' in a pie chart represent?
A. A specific data point.
B. A segment of the circle representing a category.
C. The total number of data points.
D. The average value of the data.
II. Classify the following examples into QUALITATIVE or QUANTITATIVE data. Write your answer in the space
provided.
_____________ 26. Determining the heights of students in a class.
_____________ 27. Classifying fruits as "tropical" or "temperate".
_____________ 28. Counting the number of flowers in a garden.
_____________ 29. Describing the texture of different fabrics.
_____________ 30. Measuring the weight of bags in a grocery store.
_____________ 31. Categorizing books based on their authors.
_____________ 32. Rating a restaurant's service on a scale of 1 to 5.
_____________ 33. Identifying the types of clouds in the sky.
_____________ 34. Giving the ages of family members in a household.
_____________ 35. Describing the mood of a piece of music.
III. Answer the questions below as indicated.
Eight teams joined a quiz competition. Their
final scores are shown below. Study the graph, answer
the questions.
36. Which team won the contest? ____________
37. How many points did Team F score?
38. How many more points did Team D get than Team G?
______
39. Which teams scored equally? ________
40. What is the difference in the amount of points Team E
scored and the amount Team H scored? _________
41. How many teams scored fewer than 100 points?
_______
42. What are the average points of the top 3 highest teams? _____
IV. Write the following as an integer.
43. 25 feet below the surface __________
44. An altitude of 12,000 feet __________
45. A loss of 10 kilos ________
46. 15 degrees below zero ________
47. An increase of 2,000 pesos ________
48. A profit of 250 pesos _________
49. A descent of 20 meters __________
50. A rise of 8 feet ___________
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