Mathematics 7
Quiz by Marny Bulac
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- Q1
Sarah is participating in a charity event where she can either walk or jog to raise money. The charity will donate based on how far she travels and the speed at which she moves. The donation rules are as follows:
For every kilometer Sarah walks (at a speed of 5 km/h), the charity will donate $2.
For every kilometer Sarah jogs (at a speed of 10 km/h), the charity will donate $3.
Sarah has two hours to complete the event. She needs to decide how much time to spend walking and how much time to spend jogging to maximize the total donation.
Question:
Based on the donation rules, which of the following best explains how the time spent?
The total donation is higher if Sarah splits her time equally between walking and jogging because it balances the speed and donation rate.
The total donation is the same whether Sarah walks or jogs because the time spent on each activity is the only factor that matters.
The more time Sarah spends walking, the higher the total donation will be, because walking covers more distance over time.
The more time Sarah spends jogging, the higher the total donation will be, because jogging has a higher donation rate per kilometer and allows her to cover more distance in less time.
30s - Q2
Francis is planning to fill a cylindrical tank with water. The tank has a radius of 2 meters and a height of 5 meters. He initially wants to know the volume of water the tank can hold. After calculating, Francis realizes that if he doubles the radius of the cylinder but keeps the height the same, the tank can hold significantly more water.
Question:
What will be the effect on the volume of thecylinder if Francis doubles the radius, and how does this relate to theoriginal volume?
The volume will triple.
The volume will quadruple.
The volume will double.
The volume will remain the same.
30s - Q3
A student named Alex conducted an experiment by rolling a standard six-sided die 60 times. The results are recorded as follows:
1: 12 times
2: 8 times
3: 10 times
4: 10 times
5: 14 times
6: 6 times
Based on the experiment's results, Alex plans to roll the die 30 more times. Alex wonders how many times each number might appear in the next 30 rolls. Predict the number of times the number 4 will appear in the next 30 rolls based on the experiment's results.
7 times
10 times
5 times
3 times
30s - Q4
A school's math club is organizing a fundraiser. They plan to sell t-shirts and caps. The profit from selling t-shirts is given by the expression:
Pt =5x + 3
Where:
Pt is the profit from selling t-shirts in dollars.
x is the number of t-shirts sold.
Theprofit from selling caps is given by the expression:
Pc = 4y + 2
Where:
Pc is the profit from selling caps in dollars.
y is the number of caps sold.
Theclub has a goal of raising $100 in profit. Based on the expressions provided,which of the following is thebest strategy to reach their goal?
Sell 8 t-shirts and 10 caps.
Sell 5 t-shirts and 12 caps.
Sell 12 t-shirts and 5 caps.
Sell 10 t-shirts and 8 caps.
30s - Q5
Question No. 5
Juan is incorrect because he uses the formula for the volume of a rectangular prism, which is not applicable to pyramids.
Juan is correct as he applies the formula for the volume of a pyramid, including multiplying by 1/3, which is necessary for pyramids.
Pedro is correct since he uses the correct formula while Juan uses the volume of a prism rather than a pyramid.
Pedro is incorrect because heuses the formula of the volume of a prism rather than a pyramid.
30s - Q6
A group of four students are given the following word problem to solve: A store is having a sale on all its items. The original price of a jacket is $80.
During the sale, the price of the jacket is increased by 25%. What is the new price of the jacket?
Audric, the group’s leader, shows his solution to the problem:
1. Calculate the amount of the increase:
Increase = Original Price x Percentage Increase
Increase= 80 x 0.25 = 20
2. Add the increase to the original price:
New Price = Original Price + Increase
New Price =80+20= 100
So, the new price of the jacket is $100.
Audric then asked the group to show an alternative solution to the problem. Here are the 2 different solutions:
Method 2 has an incorrect solution, but it arrives with the same correct answer
Method 1 has an incorrect solution, but it arrives with the same correct answer.
Method 1 has the correct solution, and it arrives with the same correct answer.
Method 2 has the correct solution, and it arrives with the same correct answer.
30s - Q7
Alex is working on a math problem where he needs to find the number of apples and oranges in two baskets. He knows the following information:
The total number of apples and oranges in both baskets is 50.
The number of apples in the first basket is twice the number of oranges in that basket.
The number of apples in the second basket is 10 less than the number of oranges in that basket.
Alexsets up the following algebraic expressions based on the given information:
x=2y (apples in the first basket)
z=w−10 (apples in the second basket)
The total number of apples and oranges is x+y+z+w=50.
Question: Which of the following equations correctlyrepresents the relationship between the number of oranges in the first basket(y) and the number of oranges in the second basket (w)?
30s - Q8
Maria bought a toy for $50. The toy was on sale, and the price was reduced by 20%.
After the sale, Maria decided to buy another toy of the same kind at the same reduced price. To find the total amount that Maria will pay on both toys, she came up with an initial understanding about the problem and generate an incorrect hypothesis:
1. Initial Price: The original price of the toy is $50.
2. Percentage Decrease: The price is reduced by 20%.
Incorrect Hypothesis: If the price of an item is reduced by a certain percentage, the total amount spent on two items will be equal to the original price of one item multiplied by two.
Question: If you will modify the hypothesis which of the following is correct?
If the price of an item is reduced by a certain percentage, the total amount spent on two items is the reduced price of one item plus the original price of one item.
If the price of an item is reduced by a certain percentage, the total amount spent on two items is the reduced price of one item minus the reduction amount
If the price of an item is reduced by a certain percentage, the total amount spent on two items is the same as the reduced price of one item multiplied by two.
If the price of an item is reduced by a certain percentage, the total amount spent on two items is the original price of one item multiplied by two, regardless of the reduction
30s - Q9
A school is planning to build a monument in the shape of a rectangular pyramid to celebrate its anniversary. The base of the pyramid is a rectangle with a length of 12 meters and a width of 8 meters. The height of the pyramid (the perpendicular distance from the base to the apex)will be 10 meters.
However, the school principal is considering a design change to make the base of the pyramid a square, with each side of the square equal to the width of the rectangular base. The height of the pyramid remains the same.
Question:Which of the following istrue about the volume of the two pyramids?
The volume of the pyramid with a rectangular base is greater
It is impossible to determine the volume difference without more information.
The volume of the pyramid with a square base is greater.
The volumes of both pyramids are the same.
30s - Q10
A website features a diagram of two intersecting lines with the following angle measurements:
Angle ∠A = 50°
Angle ∠B = 130°
Angle ∠C = 50°
Angle ∠D = 130°
The website states: "Angles that are opposite each other when two lines intersect are always equal."
Which of the following statements best explains the relationship between the angles, confirming the website's statement?
Angle ∠A is equal to Angle ∠C because they are vertically opposite angles, which always have equal measures.
Angle ∠A and Angle ∠B are supplementary because their measures add up to180°, not because they are opposite.
Angle ∠Bis not equal to Angle ∠C because they are not opposite each other when two lines intersect.
Angle ∠C and Angle ∠D are supplementary because their measures add up to180°, which is the reason they are equal.
30s - Q11
A student is studying the properties of polygons and finds a diagram of a regular hexagon with marked exterior angle and its adjacent interior angle.
The student reads the following information in a textbook:
"The exterior angle of a polygon is the angle formed between one side of the polygon and the extension of an adjacent side. In any polygon, the sum of an exterior angle (x) and its adjacent interior angle (y) is always 180 degrees."
Usingthe information provided, which of the following equations correctly representsthe relationship between the exterior angle x and the adjacent interior angle yof the polygon?
x –y = 90º
x +y = 180º
x +y = 360º
x ×y = 180º
30s - Q12
A Grade 7 class conducted a survey on the number of books their classmates read over the summer. The results are as follows:
3 students read 1 book
5 students read 2 books
8 students read 3 books
2 students read 4 books
4 students read 5 books
3 students read 6 books
Question:
Based on the data provided, which of the following is the correct frequency distribution table?
30s - Q13
A teacher asked the class to roll a standard six-sided die 30 times and record the number of prime numbers obtained. The numbers on a standard die are 1, 2, 3, 4, 5, and 6.
The following is a list of the results from one student's experiment:
4, 2,6, 5, 3, 1, 4, 5, 2, 6, 3, 2, 5, 1, 4,6, 2, 5, 3, 1, 4, 6, 2, 3, 5, 4, 2, 1, 6, 5
Based on the data collectedby the student, What percentage ofthe rolls resulted in a prime number?
53%
40%
33%
47%
30s - Q14
A teacher is conducting a survey to find out how many hours students in Grade 7 spend on homework each week. She decides to collect data from a random sample of students.
Which of the methods below is the best way tocollect a representative sample of Grade 7 students' homework habits?
Select a random group of students from the whole school.
Ask students from the math club only.
Interview every student in the class.
Survey students sitting in the front row of each class.
30s - Q15
The bar graph below shows the number of books read by students in Grade 7 during the summer break:
Based on the graph, which statement correctlyinterprets the information?
Most students read 1–2 books.
Half of the students read at least 3 books.
More students read 3–4 books than 1–2 books.
No students read more than 6 books.
30s
