# Full-Length ISEE Lower Level Math Practice Test

Taking a Full-length ISEE Lower Level Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.
To help you get the best out of this complete and realistic ISEE Lower Level Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length ISEE Lower Level Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck!

## The Absolute Best Book to Ace the ISEE Lower LevelMath Test

Time to refine your Math skill with a practice test

Take practice ISEE Lower Level Math Tests to simulate the test day experience. After you’ve finished, score your tests using the answer keys.

Before You Start

• You’ll need a pencil, a calculator and a timer to take the test.
• For each question, there are four possible answers. Choose which one is best.
• It’s okay to guess. There is no penalty for wrong answers.
• Use the answer sheet provided to record your answers.
• After you’ve finished the test, review the answer key to see where you went wrong.

Good Luck!

## ISEE Lower Level Math Practice Test

### ISEE Lower Level Practice TestQuantitative Reasoning

38 questions
Total time for this test:
35 Minutes
You may NOT use a calculator for this test.

1- At a Zoo, the ratio of lions to tigers is 14 to 4. Which of the following could NOT be the total number of lions and tigers in the zoo?

☐A. 45

☐B. 72

☐C. 108

☐D. 142

2- If $$\frac{1}{4}$$ of a number is greater than 5, the number must be …..

☐A. Less than 15

☐B. Equal to 15

☐C. Equal to 20

☐D. Greater than 20

3- If $$6×(M+N)=42$$ and M is greater than 0, then N could Not be …..

☐A. 2

☐B. 4

☐C. 6

☐D. 7

4- Which of the following is closest to 6.02?

☐A. 5

☐B. 5.5

☐C. 6

☐D. 6.5

5- Which of the following is greater than $$\frac{16}{6}$$?

☐A. $$\frac{7}{8}$$

☐B. $$\frac{5}{3}$$

☐C. $$\frac{9}{5}$$

☐D. $$\frac{7}{2}$$

6- If 6 added to a number, the sum is 24. If the same number added to 30, the answer is

☐A. 36

☐B. 40

☐C. 42

☐D. 48

7- If N is an even number, which of the following is always an odd number?

☐A. $$\frac{N}{2}$$

☐B. $$N+4$$

☐C. $$2N$$

☐D. $$N+1$$

8- $$7.2-3.56$$ is closest to which of the following.

☐A. 3

☐B. 3.2

☐C. 3.7

☐D. 4

9- $$x=3,264$$ $$y=205$$
Numbers $$x$$ and $$y$$ are shown above. How many times larger is the value of digit 2 in the number $$x$$, than the value of digit 2 in the number $$y$$?

☐A. 1

☐B. 10

☐C. 100

☐D. 1,000

10- In the multiplication bellow, $$A$$ represents which digit? $$15×46A=6,930$$

☐A. 2

☐B. 5

☐C. 8

☐D. 9

11- Which of the following expressions has the same value as $$\frac{6}{3}×\frac{8}{9}$$?

☐A. $$\frac{4×2}{9}$$

☐B. $$\frac{4×4}{9}$$

☐C. $$\frac{3×7}{9}$$

☐D. $$\frac{8×4}{9}$$

12- $$6×7×6×11$$ is equal to the product of $$42$$ and

☐A. 15

☐B. 36

☐C. 48

☐D. 66

13- If 42 can be divided by both 7 and $$x$$ without leaving a remainder, then 20 can also be divided by which of the following?

☐A. $$x+3$$

☐B. $$3x+1$$

☐C. $$x× 7$$

☐D. $$2x-7$$

14- Use the equations below to answer the question: $$\begin{cases}x+3=17 \\2y-6=14 \end{cases}$$
What is the value of $$x-y$$?

☐A. $$-4$$

☐B. $$4$$

☐C. $$6$$

☐D. $$10$$

15- $$\frac{3+4+5×2-6}{4+2}?$$

☐A. $$\frac{5}{6}$$

☐B. $$\frac{8}{7}$$

☐C. $$\frac{13}{6}$$

☐D. $$\frac{11}{6}$$

16- What is the next number in this sequence? 1, 3, 6, 10, 15, …

☐A. 19

☐B. 21

☐C. 25

☐D. 27

17- At noon the temperature was 14 degrees. By midnight, it had dropped another 21 degrees. What was the temperature at midnight?

☐A. 7 degrees above zero

☐B. 7 degrees below zero

☐C. 8 degrees above zero

☐D. 8 degrees below zero

18- If a triangle has a base of 8 cm and a height of 4 cm, what is the area of the triangle?

☐A. $$15 \space$$cm$$^2$$

☐B. $$16 \space$$cm$$^2$$

☐C. $$25 \space$$cm$$^2$$

☐D. $$32 \space$$cm$$^2$$

19- Which formula would you use to find the area of a square?

☐A. length$$×$$width$$×$$height

☐B. $$\frac{1}{2}$$ base$$×$$height

☐C. length×width

☐D. side×side

20- When 7 is added to four times number N, the result is 43. Then N is ….

☐A. 5

☐B. 7

☐C. 9

☐D. 11

21- Which of the following statement is False?

☐A. $$5×3=15$$

☐B. $$(4+3)×5=35$$

☐C. $$18×(3-1)=36$$

☐D. $$27÷(5-2)=7$$

22- If there are 6 red balls and 9 blue balls in a basket, what is the probability that John will pick out a red ball from the basket?

☐A. $$\frac{2}{15}$$

☐B. $$\frac{3}{15}$$

☐C. $$\frac{2}{5}$$

☐D. $$\frac{5}{2}$$

23- How many lines of symmetry does an equilateral triangle have?

☐A. 5

☐B. 4

☐C. 3

☐D. 2

24- What is $$\%20$$ of $$280$$

☐A. 45

☐B. 56

☐C. 60

☐D. 65

25- What is the average of the following numbers? 7, 9, 11, 21, 38,

☐A. 15

☐B. 15.2

☐C. 17

☐D. 17.2

26- If all the sides in the following figure are of equal length and length of one side is 5, what is the perimeter of the figure?

☐A. 25

☐B. 30

☐C. 36

☐D. 42

27- What is the median of these numbers? 1, 6, 19, 11, 5, 12, 3

☐A. 5

☐B. 6

☐C. 11

☐D. 19

28- If $$N=3$$ and $$\frac{48}{N}+12=$$ ☐, then ☐ = …..

☐A. 22

☐B. 28

☐C. 32

☐D. 38

29- Five people can paint 6 houses in 12 days. How many people are needed to paint 12 houses in 6 days?

☐A. 10

☐B. 15

☐C. 20

☐D. 22

30- $$\frac{5}{9}-\frac{3}{9}$$= ?

☐A. .019

☐B. .022

☐C.0.36

☐D. 0.54

The result of a research shows the number of men and women in four cities of a country.

31-What is the difference of the population of women in the biggest city and in the smallest city?

☐A.362

☐B.381

☐C.425

☐D.462

32-Which of the following is NOT equal to $$\frac{3}{8}$$?

☐A. $$\frac{18}{48}$$

☐B. $$\frac{15}{40}$$

☐C. $$\frac{12}{56}$$

☐D. $$\frac{6}{16}$$

34-Two angles of a triangle measure 35 and 80. What is the measure of third angle?

☐A. 55

☐B. 60

☐C. 65

☐D. 70

35-A woman weighs 115 pounds. She gains 12 pounds one month and 6 pounds the next month. What is her new weight?

☐A. 97 Pounds

☐B. 113 Pounds

☐C. 133 Pounds

☐D. 153 Pounds

36- In a basket, there are equal numbers of red, white, yellow, and purple cards. Which of the following could be the number of cards in the basket?

☐A.123

☐B. 83

☐C. 66

☐D. 56

37-Jim types 110 words per minute. How many words does he type in 30 seconds?

☐A. 40

☐B. 45

☐C. 50

☐D. 55

38- What is 62,705.47936 rounded to the nearest tenth?

☐A.62,705.47

☐B. 62,705.45

☐C. 62,705.5

☐D. 62,706

39- What is 8,903.3795 rounded to the nearest tenth?

☐A. 8,903.4

☐B. 8,903.379

☐C. 8,903

☐D. 8,903.37

40- What’s the least common multiple (LCM) of 6 and 15?

☐A. 6 and 15 have no common multiples

☐B. 30

☐C. 75

☐D. 90

41- Which of the following is NOT a factor of 32?

☐A. 4

☐B. 8

☐C. 16

☐D. 18

42- While at work, Emma checks her email once every 50 minutes. In 5-hour, how many times does she check her email?

☐A. 3 Times

☐B. 6 Times

☐C. 8 Times

☐D. 10 Times

43- $$\frac{4}{5}-\frac{3}{7}=$$?

☐A. $$\frac{1}{7}$$

☐B. $$\frac{1}{5}$$

☐C. $$\frac{12}{35}$$

☐D. $$\frac{13}{35}$$

44- Two angles of a triangle measure 36 and 58. What is the measure of the third angle?

☐A. 76

☐B. 86

☐C. 96

☐D. 106

45- A bag contains 28 balls: five green, seven black, six blue, three brown, seven red and one white. If 25 balls are removed from the bag at random, what is the probability that a brown ball has been removed?

☐A. $$\frac{1}{28}$$

☐B. $$\frac{25}{28}$$

☐C. $$\frac{6}{25}$$

☐D. $$\frac{1}{25}$$

46- From last year, the price of gasoline has increased from $1.25 per gallon to$2.5 per gallon. The new price is what percent of the original price?

☐A. $$75\%$$

☐B. $$100\%$$

☐C. $$150\%$$

☐D. $$200\%$$

47- Emma purchased a computer for $650.55. The computer is regularly priced at$867.4. What was the percent discount Emma received on the computer?

☐A. $$15\%$$

☐B. $$20\%$$

☐C. $$25\%$$

☐D. $$40\%$$

48- In the given diagram, the height is 7 cm. what is the area of the triangle?

☐A. 17 $$cm^2$$

☐B. 34 $$cm^2$$

☐C. 49 $$cm^2$$

☐D. 98 $$cm^2$$

49- Which of the following fractions is the largest?

☐A. $$\frac{5}{6}$$

☐B. $$\frac{1}{4}$$

☐C. $$\frac{7}{9}$$

☐D. $$\frac{5}{8}$$

50- The number 0.16 can also represented by which of the following?

☐A. $$\frac{16}{10}$$

☐B. $$\frac{16}{100}$$

☐C. $$\frac{16}{1,000}$$

☐D. $$\frac{1.6}{100}$$

51- Mike is 8 miles ahead of Julia running at 4.5 miles per hour and Julia is running at the speed of 7 miles per hour. How long does it take Julia to catch Mike?

☐A. 1 hours

☐B. 2.5 hours

☐C. 3.2 hours

☐D. 5.5 hours

52- Julie gives 7 pieces of candy to each of her friends. If Julie gives all her candy away, which amount of candy could have been the amount she distributed?

☐A. 78

☐B. 129

☐C. 167

☐D. 189

53- A taxi driver earns $11 per 1-hour work. If he works 12 hours a day and in 1 hour he uses 3-liters petrol with price$1 for 1-liter. How much money does he earn in one day?

☐A. $56 ☐B.$67

☐C. $96 ☐D.$120

54- Convert 0.45 to a percent.

☐A. $$0.045\%$$

☐B. $$4.5\%$$

☐C. $$45\%$$

☐D. $$450\%$$

55- If a rectangular swimming pool has a perimeter of 156 feet and is 19 feet wide, what is its area?

☐A. 987

☐B. 1,121

☐C. 1,750

☐D. 2,520

56- Which of the following is an obtuse angle?

☐A. $$65^\circ$$

☐B. $$90^\circ$$

☐C. $$135^\circ$$

☐D. $$180^\circ$$

57- 184 students took an exam and 46 of them failed. What percent of the students passed the exam?

☐A. $$25\%$$

☐B. $$55\%$$

☐C. $$65\%$$

☐D. $$75\%$$

58- $$49 \space hr. \space17 \space min.$$
$$\space$$ $$-$$ $$31 \space hr. \space 29 \space min.$$

☐A. 15 hr. 38 min.

☐B. 15 hr. 48 min.

☐C. 17 hr. 38 min.

☐D. 17 hr. 48 min.

59- The width of a box is one four of its length. The height of the box is one third of its width. If the length of the box is 36 cm, what is the volume of the box?

☐A. $$625 \space cm^3$$

☐B. $$792 \space cm^3$$

☐C. $$834 \space cm^3$$

☐D. $$972 \space cm^3$$

Use the following table to answer question below.

60- This table shows the data Daniel collects while watching birds for one week. How many raptors did Daniel see on Monday?

☐A. 7

☐B. 9

☐C. 11

☐D. 12

61- In the following figure, the shaded squares are what fractional part of the whole set of squares?

☐A. $$\frac{1}{2}$$

☐B. $$\frac{2}{3}$$

☐C. $$\frac{3}{4}$$

☐D. $$\frac{4}{5}$$

62- Nancy ordered 14 pizzas. Each pizza has 6 slices. How many slices of pizza did Nancy ordered?

☐A. 68

☐B. 84

☐C. 124

☐D. 178

63- A shirt costing $$450$$ is discounted $$10\%$$. After a month, the shirt is discounted another $$25\%$$. Which of the following expressions can be used to find the selling price of the shirt?

☐A. $$(450)(0.75)$$

☐B. $$(450)–450(0.90)$$

☐C. $$(450)(0.10)–(450)(0.25)$$

☐D. $$(450)(0.90)(0.75)$$

64- Emma draws a shape on her paper. The shape has four sides. It has only one pair of parallel sides. What shape does Emma draw?

☐A. Parallelogram

☐B. Rectangle

☐C. Square

☐D. Trapezoid

65- If $$A=35$$, then which of the following equations are correct?

☐A. $$A+10=55$$

☐B. $$A÷10=0.35$$

☐C. $$A×10=350$$

☐D. $$A –10=15$$

66- Joe makes $5.45 per hour at his work. If he works 12 hours, how much money will he earn? ☐A.$64.00

☐B. $64.5 ☐C.$65.00

☐D. \$65.4

67- In a classroom of 68 students, 24 are male. About what percentage of the class is female?

☐A. $$53\%$$

☐B. $$65\%$$

☐C. $$74\%$$

☐D. $$81\%$$

68- If a box contains red and blue balls in ratio of 3: 5 red to blue, how many red balls are there if 120 blue balls are in the box?

☐A. 36

☐B. 48

☐C. 64

☐D. 72

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