Free Printable Dalton Summative A1.1-D2.3

1.

Which of the following equations represents a proportional relationship between $x$ and $y$ ?

a)

$y = 3x + 2$

b)

$y = 5x$

c)

$y = x^2$

d)

$y = \frac{1}{x}$

2.

What is the constant of proportionality in the equation $y = 7x$ ?

a)

1

b)

7

c)

0

d)

$x$

3.

Which of the following graphs represents a proportional relationship?

a)

A line passing through the points (0, 2) and (2, 4)

b)

A line passing through the points (0, 0) and (3, 6)

c)

A parabola opening upwards

d)

A horizontal line

4.

If a car travels 60 miles in 1 hour, what is the unit rate of speed in miles per hour?

a)

30 miles per hour

b)

60 miles per hour

c)

120 miles per hour

d)

15 miles per hour

5.

Which of the following tables represents a proportional relationship? | x | y | |---|---| | 1 | 3 | | 2 | 6 | | 3 | 9 |

a)

Yes, it is proportional

b)

No, it is not proportional

6.

A recipe requires 4 cups of flour for every 2 cups of sugar. What is the ratio of flour to sugar?

a)

1:2

b)

2:1

c)

4:2

d)

2:4

7.

If $y = \frac{1}{2}x$ , what is the slope of the line?

a)

1

b)

$\frac{1}{2}$

c)

2

d)

0

8.

Which of the following situations describes a non-proportional relationship?

a)

The cost of apples is $2 per apple.

b)

A car travels at a constant speed of 50 miles per hour.

c)

A taxi charges a flat fee of $5 plus$ 2 per mile.

d)

A recipe uses 3 cups of water for every 2 cups of rice.

9.

If a graph of a relationship passes through the origin and the point (4, 8), what is the constant of proportionality?

a)

1

b)

2

c)

4

d)

8

10.

Which of the following statements is true about proportional relationships?

a)

They always have a y-intercept of 1.

b)

They can be represented by a quadratic equation.

c)

Their graphs are straight lines that pass through the origin.

d)

They have a variable rate of change.

11.

What is the circumference of a circle with a diameter of 10 units, in terms of $\pi$ ?

a)

$5\pi$ units

b)

$10\pi$ units

c)

$20\pi$ units

d)

$15\pi$ units

12.

If the circumference of a circle is $31.4$ units, what is the approximate diameter of the circle using $\pi \approx 3.14$ ?

a)

5 units

b)

10 units

c)

15 units

d)

20 units

13.

Calculate the area of a circle with a radius of 7 units, using $\pi \approx 3.14$ .

a)

154 square units

b)

44 square units

c)

49 square units

d)

100 square units

14.

Which of the following represents the proportional relationship between the diameter and circumference of a circle?

a)

$\frac{C}{d} = 2$

b)

$\frac{C}{d} = \pi$

c)

$\frac{C}{d} = \frac{1}{2}$

d)

$\frac{C}{d} = 4$

15.

Convert 5 kilograms to grams.

a)

50 grams

b)

500 grams

c)

5000 grams

d)

50000 grams

16.

Solve the equation $3x + 5 = 20$ for $x$ .

a)

$x = 3$

b)

$x = 5$

c)

$x = \frac{15}{3}$

d)

$x = \frac{20}{3}$

17.

Which of the following inequalities represents the statement: "The sum of a number $x$ and 7 is less than 15"?

a)

$x + 7 > 15$

b)

$x + 7 < 15$

c)

$x - 7 < 15$

d)

$x - 7 > 15$

18.

Simplify the expression using the distributive property: $4(2x + 3)$ .

a)

$8x + 12$

b)

$8x + 3$

c)

$8x + 7$

d)

$8x + 6$

19.

Evaluate the expression $3^2 + (4 \times 2) - 5$ using the order of operations.

a)

15

b)

16

c)

17

d)

18

20.

Which of the following expressions is equivalent to $5(x + 2) - 3x$ ?

a)

$5x + 10 - 3x$

b)

$2x + 10$

c)

$5x + 2 - 3x$

d)

$2x + 2$

21.

What is the surface area of a rectangular prism with dimensions 3 cm by 4 cm by 5 cm?

a)

94 cm $^2$

b)

54 cm $^2$

c)

60 cm $^2$

d)

72 cm $^2$

22.

If a rectangular prism has a surface area of 150 cm $^2$ , which of the following could be its dimensions?

a)

5 cm by 5 cm by 5 cm

b)

3 cm by 10 cm by 5 cm

c)

6 cm by 5 cm by 4 cm

d)

7 cm by 3 cm by 6 cm

23.

How many 1 cm $^3$ cubes are needed to completely fill a rectangular prism with dimensions 2 cm by 3 cm by 4 cm?

a)

12

b)

18

c)

24

d)

30

24.

Which of the following statements is true about the surface area of rectangular prisms?

a)

Rectangular prisms with the same volume always have the same surface area.

b)

Rectangular prisms with different dimensions can have the same surface area.

c)

The surface area of a rectangular prism is always greater than its volume.

d)

The surface area of a rectangular prism is always less than its volume.

25.

A rectangular prism has a length of 8 cm, a width of 3 cm, and a height of 2 cm. What is its volume?

a)

24 cm $^3$

b)

48 cm $^3$

c)

36 cm $^3$

d)

16 cm $^3$

26.

Calculate the area of a trapezoid with bases of lengths 8 cm and 5 cm, and a height of 4 cm.

a)

26 cm²

b)

32 cm²

c)

20 cm²

d)

52 cm²

27.

Which of the following is the correct formula to calculate the area of a trapezoid?

a)

$\frac{1}{2} \times \text{base} \times \text{height}$

b)

$\frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height}$

c)

$\text{base}_1 \times \text{base}_2 \times \text{height}$

d)

$\text{base}_1 + \text{base}_2 + \text{height}$

28.

Find the perimeter of a rectangle with a length of 10 cm and a width of 7 cm.

a)

34 cm

b)

24 cm

c)

17 cm

d)

70 cm

29.

A composite figure is made up of a rectangle and a semicircle. The rectangle has a length of 12 cm and a width of 6 cm. The diameter of the semicircle is equal to the width of the rectangle. Calculate the total area of the composite figure. (Use $\pi \approx 3.14$ )

a)

108.84 cm²

b)

100.68 cm²

c)

96.84 cm²

d)

112.68 cm²

30.

A composite figure consists of a square with a side length of 5 cm and a triangle with a base of 5 cm and a height of 4 cm. Find the total area of the composite figure.

a)

25 cm²

b)

35 cm²

c)

45 cm²

d)

30 cm²

31.

A triangle with vertices at $(1, 2)$ , $(3, 4)$ , and $(5, 6)$ is translated 3 units to the right and 2 units down. What are the new coordinates of the vertices?

a)

$(4, 0)$ , $(6, 2)$ , $(8, 4)$

b)

$(4, 4)$ , $(6, 6)$ , $(8, 8)$

c)

$(4, 0)$ , $(6, 2)$ , $(8, 6)$

d)

$(4, 0)$ , $(6, 2)$ , $(8, 4)$

32.

What is the result of reflecting the point $(3, -5)$ across the x-axis?

a)

$(3, 5)$

b)

$(-3, -5)$

c)

$(-3, 5)$

d)

$(3, -5)$

33.

A rectangle has a length of 8 units and a width of 4 units. If the rectangle is dilated by a scale factor of 2, what is the area of the new rectangle?

a)

32 square units

b)

64 square units

c)

128 square units

d)

16 square units

34.

Which of the following transformations will map the point $(2, 3)$ to $(-3, 2)$ ?

a)

Rotation of $90^\circ$ clockwise about the origin

b)

Rotation of $90^\circ$ counterclockwise about the origin

c)

Reflection across the y-axis

d)

Reflection across the x-axis

35.

Two triangles are similar. The sides of the first triangle are 3, 4, and 5 units. If the longest side of the second triangle is 10 units, what is the scale factor?

a)

$\frac{1}{2}$

b)

2

c)

$\frac{5}{3}$

d)

$\frac{3}{5}$

36.

A figure is rotated $180^\circ$ about the origin. If the original coordinates of a point are $(x, y)$ , what are the coordinates after the rotation?

a)

$(-x, -y)$

b)

$(y, x)$

c)

$(-y, -x)$

d)

$(x, y)$

37.

A scale drawing of a park has a scale of 1:200. If the length of the park in the drawing is 5 cm, what is the actual length of the park?

a)

1000 cm

b)

100 cm

c)

200 cm

d)

500 cm

38.

Which of the following properties is true for similar figures?

a)

They have the same area.

b)

They have the same perimeter.

c)

They have the same shape but not necessarily the same size.

d)

They have the same angles and side lengths.

39.

A line graph shows the number of books read by students over five months: January (5), February (8), March (12), April (7), and May (10). What is the mean number of books read per month?

a)

8

b)

9

c)

10

d)

11

40.

A dataset consists of the following numbers: 3, 7, 7, 2, 9, 10, 3, 8. What is the mode of this dataset?

a)

3

b)

7

c)

8

d)

9

41.

Consider the following data: 4, 8, 6, 5, 3, 7, 9. What is the median of this dataset?

a)

5

b)

6

c)

7

d)

8

42.

A circle graph shows the distribution of favorite fruits among students: 30% apples, 25% bananas, 20% oranges, and 25% grapes. Which fruit is the least popular?

a)

Apples

b)

Bananas

c)

Oranges

d)

Grapes

43.

A histogram displays the ages of participants in a workshop: 10-12 (5 participants), 13-15 (8 participants), 16-18 (12 participants), 19-21 (4 participants). Which age group has the highest frequency?

a)

10-12

b)

13-15

c)

16-18

d)

19-21

44.

Given the data: 15, 18, 22, 20, 25, 30, 28, what is the range of this dataset?

a)

10

b)

12

c)

15

d)

18

45.

A box plot shows the following data: minimum = 5, Q1 = 10, median = 15, Q3 = 20, maximum = 25. What is the interquartile range (IQR)?

a)

5

b)

10

c)

15

d)

20

46.

A dataset is represented in a histogram with the following intervals: 1-5 (3), 6-10 (7), 11-15 (5), 16-20 (2). What is the total number of data points?

a)

15

b)

17

c)

18

d)

20

47.

A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. What is the theoretical probability of drawing a red marble from the bag?

a)

$\frac{1}{5}$

b)

$\frac{3}{10}$

c)

$\frac{1}{3}$

d)

$\frac{3}{8}$

48.

If the probability of raining on any given day in a city is $\frac{1}{4}$ , what is the probability that it will not rain on a randomly chosen day?

a)

$\frac{1}{4}$

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

49.

A spinner is divided into 8 equal sections numbered 1 to 8. What is the probability of the spinner landing on an even number?

a)

$\frac{1}{2}$

b)

$\frac{3}{8}$

c)

$\frac{1}{4}$

d)

$\frac{5}{8}$

50.

A die is rolled 60 times, and the number 4 comes up 15 times. What is the experimental probability of rolling a 4?

a)

$\frac{1}{6}$

b)

$\frac{1}{4}$

c)

$\frac{1}{3}$

d)

$\frac{1}{5}$

51.

In a class of 30 students, 18 are girls. If a student is chosen at random, what is the probability that the student is a boy?

a)

$\frac{1}{3}$

b)

$\frac{3}{5}$

c)

$\frac{2}{5}$

d)

$\frac{1}{2}$

52.

A jar contains 10 candies: 4 are red, 3 are green, and 3 are yellow. What is the probability of picking a yellow candy?

a)

$\frac{1}{3}$

b)

$\frac{3}{10}$

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

53.

If the probability of an event happening is $\frac{2}{5}$ , what is the probability of the event not happening?

a)

$\frac{3}{5}$

b)

$\frac{1}{5}$

c)

$\frac{2}{5}$

d)

$\frac{4}{5}$

54.

A coin is flipped 100 times and lands on heads 55 times. What is the experimental probability of the coin landing on heads?

a)

$\frac{1}{2}$

b)

$\frac{11}{20}$

c)

$\frac{9}{20}$

d)

$\frac{3}{5}$

Dalton Summative A1.1-D2.3

Total questions: 54

Worksheet time: 27mins

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