Free Printable UIL Math 2015-2016 Released Test

1.

$3^4-4^3\div2^4\times8^0$ equals what number?

a)

12

b)

0

c)

77

d)

49

e)

$8\frac{1}{4}$

2.

One hundred forty-four percent added to forty-six hundredths is equal to what number?

a)

0.19

b)

144.46

c)

14.86

d)

0.1486

e)

1.9

3.

The larger of two numbers is twice the smaller. If the larger is decreased by 10, the result is 5 more than the smaller number. What is the larger number?

a)

35

b)

45

c)

15

d)

30

e)

None

4.

What is the sum of the prime numbers between 40 and 50?

a)

131

b)

90

c)

84

d)

88

e)

180

5.

What is the remainder when (24² x 7 + 98) is divided by six?

a)

0

b)

1

c)

2

d)

3

e)

4

6.

A passenger train and freight train start at the same time from the stations that are 405 miles apart and travel toward each other. The rate of the passenger train is twice that of the freight train. If in 3 hours the trains pass each other, what is the rate of the passenger train?

a)

30 mph

b)

45 mph

c)

50 mph

d)

60 mph

e)

90 mph

7.

Which of the following is in the set of non-negative integers?

a)

$\sqrt{6}$

b)

0.733333...

c)

$\pi$

d)

314

e)

$\sqrt{-1}$

8.

What is the area of a circle with a diameter of 16?

a)

$16\pi$

b)

$64\pi$

c)

$8\pi$

d)

$8\pi^2$

e)

$\frac{\pi}{64}$

9.

-6 + -4 + -2 + ... + 20 equals what amount?

a)

110

b)

98

c)

96

d)

122

e)

198

10.

What is the least common multiple of 18, 24, and 36?

a)

360

b)

144

c)

72

d)

720

e)

2

11.

What is the remainder when 2974536789 is divided by eleven?

a)

10

b)

8

c)

6

d)

4

e)

2

12.

A rectangular octagon has a perimeter of $24\frac{7}{8}$ inches. If two of these polygons are joined at a common side, what is the new perimeter of the figure?

a)

$49\frac{7}{64}$

b)

$49\frac{3}{4}$

c)

$4\frac{7}{64}$

d)

$48\frac{7}{32}$

e)

$43\frac{17}{32}$

13.

If one rod equals $16\frac{1}{2}$ feet, then how many rods are in one mile?

a)

320

b)

648

c)

640

d)

1280

e)

440

14.

How many cups of liquid are in one-fourth gallon?

a)

24

b)

16

c)

12

d)

8

e)

4

15.

What is the sum of the smallest two-digit twin primes?

a)

5

b)

12

c)

24

d)

160

e)

36

16.

What is the sum of the unique prime factors of 206?

a)

105

b)

206

c)

106

d)

103

e)

104

17.

How many whole numbers will evenly divide into 206?

a)

1

b)

2

c)

3

d)

4

e)

103

18.

$\frac{11}{8}+\frac{8}{11}=\ ?$

a)

$2\frac{3}{88}$

b)

1

c)

$1\frac{1}{19}$

d)

$2\frac{9}{88}$

19.

100 base 10 equals what number in base 8?

a)

441

b)

142

c)

144

d)

124

e)

414

20.

What is the 7th triangular number?

a)

28

b)

343

c)

21

d)

56

e)

None

21.

The sequence of numbers: 1, 1, 2, 3, 5, 8,...is called the Fibonacci sequence. Looking at this pattern of numbers, what is the sum of the 9th and 10th terms in the Fibonacci sequence?

a)

21

b)

34

c)

55

d)

89

e)

90

22.

If a vertical yardstick casts a shadow of 2 feet and a tree casts a shadow of 15 feet, how tall is the tree?

a)

30 ft

b)

45ft

c)

$22\frac{1}{2}$ ft

d)

18 ft

e)

10 ft

23.

0.73333...equals what fraction?

a)

$\frac{11}{15}$

b)

$\frac{37}{99}$

c)

$\frac{37}{90}$

d)

$\frac{13}{30}$

e)

$\frac{2}{3}$

24.

A shirt costs Sandy $32.00 plus sales tax. If the tax is $6\frac{1}{4}\%$ , what is the total cost of the shirt plus sales tax?

a)

$34.00

b)

$52.00

c)

$52.25

d)

$34.50

e)

$38.25

25.

What is the area of the largest square that can be placed in a circle with a radius of 8in?

a)

64

b)

128

c)

256

d)

32

e)

132

26.

What is the total surface area of a cube that has a volume of 216 cubic inches?

a)

216

b)

108

c)

36

d)

144

e)

24

27.

Sally has a 12 foot long ladder. If she leans the ladder against a vertical wall and the ladder is 4 foot from the base of the wall, what is the maximum vertical height (in whole number feet) that the ladder will reach up the wall?

a)

11

b)

10

c)

9

d)

8

e)

6

28.

If the diagonals of a rhombus are 16 inches and $12\frac{1}{2}$ inches, what is the area of this rhombus?

a)

200

b)

100

c)

28 $\frac{1}{2}$

d)

57

e)

192

29.

The surface area of a cube is 216. What is the ratio of the cube's surface area to it's volume?

a)

$\frac{1}{2}$

b)

$\frac{1}{6}$

c)

1

d)

6

e)

$\frac{1}{36}$

30.

A local store ran sales on picnic plates and cups one day. That day 88 people bought sets of plates, 64 people bought sets of cups, and 48 people bought sets of cups and plates. How many people, in all, took advantage of the sale?

a)

200

b)

104

c)

152

d)

72

e)

24

31.

The equation: $2x^2\ +\ 5x\ =\ 6$ has two answers. What is the product of those two answers?

a)

$-\frac{2}{5}$

b)

$-\frac{5}{2}$

c)

$\frac{1}{3}$

d)

-3

e)

$-\frac{5}{6}$

32.

What is the probability of randomly picking a king or queen from a standard deck of 52 cards with no jokers?

a)

$\frac{1}{13}$

b)

$\frac{2}{13}$

c)

$\frac{4}{13}$

d)

$\frac{1}{26}$

e)

$\frac{2}{11}$

33.

The Hawaiian Islanders are five time zones west of Dallas, Texas. If it is 9:00AM in Los Angeles, California, what time is it in Hawaii?

a)

7:00Am

b)

6:00PM

c)

2:00 PM

d)

4:00 AM

e)

6:00AM

34.

What is the product of three consecutive even integers whose sum is negative thirty?

a)

-960

b)

-360

c)

-96

d)

-120

e)

-240

35.

$83\frac{1}{3}\%\$ of 24 is what amount?

a)

192

b)

200

c)

$28\frac{4}{5}$

d)

28

e)

20

36.

Tina scored 68% on her last math test. If she answered 34 questions correctly, how many questions were on the test?

a)

25

b)

30

c)

33

d)

40

e)

50

37.

Edna received a commission of $2100 for selling a $36,000 house. At that rate, what would be the commission for selling a $96,000 house?

a)

$1640

b)

$2800

c)

$5600

d)

$6800

e)

$4800

38.

A number increased by twelve is 2 less than three times the number. What is the number?

a)

-7

b)

5

c)

-5

d)

3

e)

None

39.

Jane is now 20 years old and Dorothy is 10 years old. How many years ago was Jane three times as old as Dorothy was then?

a)

15 yrs

b)

12 yrs

c)

10 yrs

d)

8 yrs

e)

5 yrs

40.

John is running at an average speed of 10 feet per second (ft/s) while Michael is running at an average speed of 12 ft/s. If Michael is 40 ft behind John, how long will it take him to catch John?

a)

2 sec

b)

4 sec

c)

8 sec

d)

10 sec

e)

20 sec

41.

Genny deposited an amount of money that earned 7% simple annual interest. After six months she received $87.50 interest. How much money had Genny deposited?

a)

$2500

b)

$4375

c)

$1250

d)

$93.65

e)

$4575

42.

In polynomial division, a remainder of zero means...

a)

the divisor is a factor of the dividend

b)

there is no solution

c)

there are infinite solutions

d)

there is one solution and it is always a rational number

e)

there are no Polynesians

43.

How much pure acid must be added to 15 milliliters (mL) of an acid solution which is 40% acid in order to produce a solution which is 50% acid?

a)

2.5 mL

b)

3.0 mL

c)

4.5 mL

d)

5.0 mL

e)

5.5 mL

44.

How many diagonals can be drawn for a regular polygon with twelve sides?

a)

18

b)

36

c)

48

d)

54

e)

60

UIL Math 2015-2016 Released Test

Total questions: 44

Worksheet time: 1hrs 28mins

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