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Worksheets

ISEE Math Upper Level

Total questions: 47

Worksheet time: 12hrs 45mins

Name
Class
Date
1.

Use the diagram to answer the question. Which type of quadrilateral best describes ABCD?

a)

Square

b)

Rhombus

c)

Trapezoid

d)

Rectangle

2.

What is the value of the expression 2.3 + 0.32 + 1.9 + 0.78?

a)

3.71

b)

4.18

c)

4.42

d)

5.30

3.

The graph shows the scores that 5 friends earned on a math test. What is the difference between Maria’s test score and the average of Rebecca’s and Joe’s test scores?

a)

5

b)

8

c)

85

d)

90

4.

Joe measures the height of all the students in his class. If the shortest student is 44 inches tall and the range of the students’ heights is 16 inches, what is the height of the tallest student?

a)

50 inches

b)

58 inches

c)

60 inches

d)

66 inches

5.

 Which of the answer choices is equivalent to the expression? 100(39+46)5\frac{100\left(39+46\right)}{5}  

a)

1300

b)

1500

c)

1700

d)

1900

6.

If A = 2B + PS, what is A when B = 18, P = 14, and S = 4?

a)

92

b)

90

c)

82

d)

80

7.

9 chocolate bars cost the same as 15 lollipops. If the price of one lollipop is 3 dollars, what is the price of 1 chocolate bar?

a)

$3

b)

$4

c)

$5

d)

$6

8.

According to the scatter plot, what is the newest model year car a person could afford to buy for $12,500?

a)

2008

b)

2009

c)

2010

d)

2012

9.

Which of the answer choices is divisible by 3?

a)

43

b)

143

c)

2156

d)

42,618

10.

Timo goes on a run. In the first minute, Timo covers 100 feet. After the next minute he covers a total of 200 feet. After the third minute he has covered a total of 300 feet. If this pattern continues, how many feet will Timo cover in 10 minutes?

a)

700 feet

b)

800 feet

c)

900 feet

d)

1000 feet

11.

If (8x+4)9=4\frac{\left(8x+4\right)}{9}=4  , x must equal?

a)

1

b)

2

c)

3

d)

4

12.

The circle shown is divided into equal parts. What fraction of the circle is shaded?

a)

15\frac{1}{5}

b)

14\frac{1}{4}

c)

13\frac{1}{3}

d)

12\frac{1}{2}

13.

A stack of 8 cards is numbered 1 - 8. A card is selected, not replaced, and a second card is selected. Using this scenario, which of the answer choices is an impossible event?

a)

The first card is a 3, and the second card is a 4.

b)

The first card is a 7, and the second card is a 7.

c)

The first card is a 1 or 5, and the second card is a 7.

d)

The first card is a 2, and the second card is a 5 or 6.

14.

8.975×0.001=8.975\times0.001=  ?

a)

0.0008975

b)

0.008975

c)

0.08975

d)

0.8975

15.

A candy store manager recorded the prices of jars of candies in the stem-and-leaf plot shown below. 3  \parallel   50 represents $3.50. What is the range of the prices?

a)

$0.40

b)

$1.91

c)

$2.31

d)

$2.36

16.

Mr. Holloway asked his class to estimate the answer for the expression 92×88÷60092\times88\div600 . Which is the best estimate?

a)

13

b)

16

c)

130

d)

160

17.

If 1218=D30\frac{12}{18}=\frac{D}{30} , What is the value of D?

a)

20

b)

21

c)

22

d)

24

18.

35% of 10,200 =

a)

35.7

b)

357

c)

3,570

d)

35,700

19.

Carrie conducted a survey to find out what her classmates’ favorite after-school activities were. She found 8 preferred sports, 7 preferred clubs, and 5 preferred music. Which of the following shows the percent of his classmates who prefer each activity?

a)

40% sports, 35% clubs, 25% music

b)

40% sports, 35% clubs, 30% music

c)

36% sports, 34% clubs, 30% music

d)

36% sports, 24% clubs, 12% music

20.

What is the perimeter of a square whose area is 169 in2?

a)

48 inches

b)

52 inches

c)

54 inches

d)

56 inches

21.

Using the equation 6 – c = d – 2, what is the value of (c + d)?

a)

-8

b)

-4

c)

4

d)

8

22.

Triangle JKL is similar to triangle RST. What is the ratio of the length of a side of triangle JKL to the corresponding side of triangle RST?

a)

1 to 2

b)

4 to 5

c)

5 to 4

d)

2 to 1

23.

The water in a tank is 6 feet deep and increasing at a rate of 0.30 feet per hour. Which equation can be used to find d, the depth of the tank after t hours?

a)

d = 0.30t - 6

b)

d = 0.30t + 6

c)

d = 6t – 0.30

d)

d = 6t + 0.30

24.

What is the quotient of 315÷2183\frac{1}{5}\div2\frac{1}{8}  ?

a)

1185\frac{11}{85}  

b)

143851\frac{43}{85}  

c)

56405\frac{6}{40}  

d)

7587\frac{5}{8}  

25.

There are 8 fewer fifth graders than sixth graders in the water polo team. If there are 24 sixth graders in the water polo team, what fraction of the water polo team is sixth graders?

a)

25\frac{2}{5}

b)

23\frac{2}{3}

c)

35\frac{3}{5}

d)

716\frac{7}{16}

26.

The two pentagons shown are similar (12 cm corresponds with 90 cm, 10 cm corresponds with x, etc.). What is the value of X?

a)

50 cm

b)

65 cm

c)

75 cm

d)

80 cm

27.

A deck of cards contains 4 cards labeled 1 – 4. A bag of 5 marbles contains one of each color: red, yellow, blue, green and orange. Selina wants to find the probability of selecting an even numbered card and selecting a blue marble. Which outcome table is shaded in a way that will help Selina find her answer?

a)

Table A

b)

Table B

c)

Table C

d)

Table D

28.

Chelsea and Lucy recorded the average time it took them to run 1 mile each week for 4 weeks. The data is shown in the table. Starting with Week 2, how much time did Lucy subtract from her average time each week?

a)

0:21

b)

0:46

c)

1:21

d)

1:46

29.

A ladder is placed against a vertical wall of a building. It makes a 23 degree angle with the wall. In the triangle formed by the ladder, building, and ground, what is the angle between the ladder and the flat ground in degrees?

a)

23

b)

67

c)

90

d)

157

30.

The figure is made up of 2 squares. What is the area of the shaded region?

a)

8 cm2

b)

16 cm2

c)

32 cm2

d)

64 cm2

31.

A change purse contains 6 pennies, 7 dimes, and 8 quarters. If a coin is randomly selected from the change purse, what is the probability the coin selected is worth more than 10 cent?

a)

13\frac{1}{3}

b)

715\frac{7}{15}

c)

57\frac{5}{7}

d)

1621\frac{16}{21}

32.

Which of the answer choices is equivalent to the equation shown below?

y = 7x – 3

a)

7y + 3 = x

b)

7(y + 3) = x

c)

(y+3)7\frac{\left(y+3\right)}{7} = x

d)

y7\frac{y}{7} + 3 = x

33.

A restaurant is estimating profit for a 7 day period. The profit can be calculated by estimating the cost and subtracting it from the estimated revenue. The costs are estimated to be between $600 and $700. There are expected to be 100 to 110 orders during the 7 days. If the restaurant charges an average of $50 per order, approximately what is the expected profit from this 7 day period for the restaurant?

a)

$1,800

b)

$3,900

c)

$4,600

d)

$7,000

34.

If a7=b3\frac{a}{7}=\frac{b}{3} , which of the answer choices must be true?

a)

b7=a3\frac{b}{7}=\frac{a}{3}  

b)

3b=7a\frac{3}{b}=\frac{7}{a}  

c)

ab=21ab=21  

d)

3a=7b3a=7b  

35.

Of the 25% of a class who sleep at least 8 hours a night, 59\frac{5}{9}  of them earn an A in math. What fraction of the class sleeps at least 8 hours a night and earns an A in math?

a)

536\frac{5}{36}

b)

836\frac{8}{36}

c)

427\frac{4}{27}

d)

718\frac{7}{18}

36.

What is the value of n in the expression (33+5(n1))3=6\frac{\left(33+5\left(n-1\right)\right)}{3}=6 ?

a)

-5

b)

-2

c)

7

d)

13

37.

Which value is NOT equal to 15\frac{1}{5} ?

a)

3÷153\div15  

b)

353\frac{\frac{3}{5}}{3}  

c)

0.25

d)

1890\frac{18}{90}  

38.

The formula y = 4x + 17 can be used to find y, the total cost of a delivery based on x, the number of items being delivered. What does 4 represent in this formula?

a)

When 0 items are being delivered, the total cost of the delivery is $4.

b)

When 17 items are being delivered, the total cost of the delivery is $4.

c)

For every 17 items added to the delivery, the total cost of the delivery increases by 4.

d)

For every item added to the delivery, the total cost of the delivery increases by $4.

39.

On day one Micky had $18. Each day after that he saved $5. How much money did Mike have after the fourth day?

a)

$23

b)

$26

c)

$28

d)

$33

40.

The coordinate grid shows two vertices of a right triangle. Which of the answer choices could be the coordinates of the third vertex of the right triangle?

a)

(3, 0)

b)

(3, 1)

c)

(0, -2)

d)

(0, -3)

41.

If Tanya can wash  25\frac{2}{5}  of the dishes in one hour, how many hours will it take her to wash the rest of the dishes at the same rate?

a)

0.25

b)

0.40

c)

0.60

d)

1.50

42.

What is the slope of the line: 7x+1 = y2+87x+1\ =\ \frac{y}{2}+8

a)

27\frac{2}{7}  

b)

1

c)

14

d)

15

43.

George’s new house has a yard that is one and a quarter times as large as the size of the yard at his old house. By what percent did his yard increase?

a)

2.5%

b)

25%

c)

75%

d)

125%

44.

The volume of a cube is 216 m3. What is the surface area of this cube?

a)

216 m2

b)

144 m2

c)

72 m2

d)

36 m2

45.

Length of A = Length of B. Which of the answer choices must be true?

a)

a < b

b)

a = b

c)

b = c

d)

b < c

46.

Which of the answer choices is equivalent to ba(1cac)\frac{b}{a}\left(\frac{1}{c}-\frac{a}{c}\right) ?

a)

bac\frac{b-a}{c}  

b)

baac\frac{b-a}{ac}  

c)

bc(11a)\frac{b}{c}\left(1-\frac{1}{a}\right)  

d)

bc(1a1)\frac{b}{c}\left(\frac{1}{a}-1\right)  

47.

Ellen and Ferry eat a waffle, oatmeal, eggs, banana, or cereal for breakfast and drink milk, juice, coffee, or water. If Ellen and Ferry randomly select what they eat and drink for breakfast, what is the probability that they both select cereal and milk?

a)

110\frac{1}{10}

b)

1400\frac{1}{400}

c)

120\frac{1}{20}

d)

815\frac{8}{15}