Free Printable Elementary Number Sense Test A (Page 1)

1.

Solve mentally: $6+41$ equals what number?

a)

45

b)

46

c)

47

d)

48

2.

Solve mentally: $18+29$ equals what number?

a)

47

b)

48

c)

49

d)

50

3.

Solve mentally: $76-32$ equals what number?

a)

42

b)

44

c)

46

d)

48

4.

Solve mentally: $224\div 2$ equals what number?

a)

108

b)

110

c)

112

d)

114

5.

Solve mentally: $13\times 4$ equals what number?

a)

48

b)

50

c)

52

d)

54

6.

Solve mentally: $204-31$ equals what number?

a)

171

b)

172

c)

173

d)

174

7.

Solve mentally: $9+11+13$ equals what number?

a)

31

b)

32

c)

33

d)

34

8.

Solve mentally: $43\times 11$ equals what number?

a)

463

b)

473

c)

483

d)

493

9.

Solve mentally: $832\div 8$ equals what number?

a)

96

b)

100

c)

104

d)

108

10.

Solve mentally (starred item allows approximate integral answer): $3897+703$ equals what number?

a)

4590

b)

4600

c)

4610

d)

4620

11.

Solve mentally: $25\times 32$ equals what number?

a)

750

b)

800

c)

825

d)

850

12.

Which digit is in the hundreds place in 49,317.20568?

a)

4

b)

9

c)

3

d)

7

13.

Solve mentally: $15\times 22$ equals what number?

a)

310

b)

320

c)

330

d)

340

14.

Round 83,670.2874 to the tens place.

a)

83,660

b)

83,670

c)

83,680

d)

83,700

15.

What is the remainder when $60318\div 5$ is computed?

a)

0

b)

1

c)

3

d)

4

16.

How many whole numbers are between 103 and 125 (not including 103 or 125)?

a)

20

b)

21

c)

22

d)

23

17.

Compute $6\times10^1+5\times10^2+1\times10^3$ and give the decimal value.

a)

1506

b)

1560

c)

1650

d)

1750

18.

Solve mentally: $33\times7-33\times5$ equals what number?

a)

33

b)

66

c)

99

d)

132

19.

Convert the Roman numeral MDCLX to an Arabic numeral.

a)

1560

b)

1660

c)

1760

d)

1860

20.

Solve mentally (starred item allows approximate integral answer): $320\times375$ equals what number?

a)

110,000

b)

115,000

c)

120,000

d)

125,000

21.

Compute $8\div4\div2$ using left-to-right division.

a)

0

b)

1

c)

2

d)

4

22.

Solve mentally: $16+14+12+10+8$ equals what number?

a)

56

b)

58

c)

60

d)

62

23.

Convert: 72 hours equals how many days?

a)

2

b)

3

c)

4

d)

5

24.

Which is larger: 0.1 or $\dfrac{1}{9}$ ?

a)

0.1

b)

$\dfrac{1}{9}$

25.

Solve mentally: $\dfrac{7}{12}+\dfrac{1}{12}$ equals what common fraction?

a)

$\dfrac{1}{2}$

b)

$\dfrac{2}{3}$

c)

$\dfrac{3}{4}$

d)

$\dfrac{4}{5}$

26.

Solve mentally: $19\times21$ equals what number?

a)

381

b)

392

c)

399

d)

401

27.

Convert: 44% equals what common fraction?

a)

$\dfrac{11}{25}$

b)

$\dfrac{22}{50}$

c)

$\dfrac{44}{100}$

d)

$\dfrac{1}{2}$

28.

If 24 items cost 44¢, then 36 items cost how many cents?

a)

60¢

b)

62¢

c)

64¢

d)

66¢

29.

Solve mentally: $21\div\dfrac{7}{12}$ equals what number?

a)

28

b)

30

c)

36

d)

42

30.

Solve mentally (starred item allows approximate integral answer): $443\times359$ equals what number?

a)

158,997

b)

159,037

c)

159,077

d)

159,117

31.

Convert: 16 quarters equal how many dimes?

a)

32

b)

36

c)

40

d)

44

32.

Find the sum of the two smallest primes greater than 30.

a)

62

b)

64

c)

66

d)

68

33.

Convert: 2 quarts equal how many ounces?

a)

48

b)

56

c)

64

d)

72

34.

Solve mentally: $1025\div25$ equals what number?

a)

35

b)

39

c)

41

d)

45

35.

Convert: $16\dfrac{2}{3}\%$ equals what common fraction?

a)

$\dfrac{1}{5}$

b)

$\dfrac{1}{6}$

c)

$\dfrac{1}{7}$

d)

$\dfrac{1}{8}$

36.

Find the greatest common factor (GCF) of 24 and 32.

a)

6

b)

8

c)

10

d)

12

37.

Solve mentally: $97\times95$ equals what number?

a)

9,115

b)

9,205

c)

9,215

d)

9,225

38.

Compute $\frac{1}{12} + \frac{11}{12} - \frac{3}{12}$ .

a)

$\frac{3}{4}$

b)

$\frac{2}{3}$

39.

The ratio, in cents, of 2 quarters to $2 is _____.

a)

$1\!:\!4$

b)

$2\!:\!5$

40.

Find the product $225 \times 439$ .

a)

98,775

b)

99,075

41.

Evaluate $14^2$ .

a)

196

b)

256

42.

Evaluate $6^3$ .

a)

216

b)

144

43.

The volume of a cube with edge 4 is ____ cubic units.

a)

64

b)

48

44.

The perimeter of an isosceles triangle with congruent sides 18 and the other side 24 is ____ units.

a)

60

b)

54

45.

Compute $2^4 + 3^2$ .

a)

25

b)

31

46.

Compute $2\tfrac{1}{8} \times 6\tfrac{1}{8}$ as a mixed number.

a)

$13\tfrac{1}{64}$

b)

$12\tfrac{63}{64}$

47.

What is the volume of a rectangular box that is 8 ft by 6 ft by 11 ft? ____ cubic feet.

a)

528

b)

424

48.

Compute $37.5\% \times 64$ .

a)

24

b)

32

49.

If $x=\tfrac{2}{3}$ , then evaluate $21+3x$ .

a)

23

b)

22

50.

Compute $2023+2024+2025$ .

a)

6072

b)

6069

51.

What is the number $k$ in the sequence: 0, 1, 8, $k$ , 64, 125, ...?

a)

27

b)

16

52.

Compute $\tfrac{9}{5} + 6 - \tfrac{9}{10}$ as a mixed number.

a)

$6\tfrac{9}{10}$

b)

$7\tfrac{1}{10}$

53.

If the radius of a circle is 48, then the circumference of the circle is ____ $\pi$ .

a)

96

b)

48

54.

If a rectangle with area 24 has a width that measures 4, then its perimeter is ____ units.

a)

20

b)

16

55.

Write 23 (base 10) as ____ (base 3).

a)

212

b)

221

56.

The number of days in September is ____.

a)

30

b)

31

57.

What is the area of a triangle with altitude $\tfrac{1}{2}$ and base 24?

a)

6

b)

12

58.

How many elements are in the power set for $\{0,2,4,6,8\}$ ?

a)

32

b)

16

59.

If three times a whole number, minus nine, is thirty-three, what is the number?

a)

14

b)

12

60.

Convert 150 yards to inches.

a)

5,400 inches

b)

4,800 inches

61.

Convert $1011$ (base 2) to base 8.

a)

13 (base 8)

b)

11 (base 8)

62.

Evaluate $12 + (-2)^4 \times (-4)$ .

a)

76

b)

-20

63.

What is the probability a blue marble is randomly picked from a bag of 6 blue and 8 red marbles?

a)

$\tfrac{3}{7}$

b)

$\tfrac{2}{7}$

64.

Convert 25 cups to ounces.

a)

200 ounces

b)

150 ounces

65.

Evaluate $72^2$ .

a)

5,184

b)

5,472

66.

$96 \div 7$ has a remainder of ____.

a)

5

b)

4

67.

The area of a rhombus with diagonals 18 and 24 is ____ square units.

a)

216

b)

432

68.

If $18 - 3x > 54$ , then $x <$ ____.

a)

$-12$

b)

$-18$

69.

Compute $2\tfrac{1}{42} - \tfrac{7}{6}$ .

a)

$\tfrac{6}{7}$

b)

$\tfrac{5}{7}$

70.

Evaluate $\sqrt{130321}$ .

a)

361

b)

341

71.

The additive inverse of $6\tfrac{1}{2}$ is ____.

a)

$-6\tfrac{1}{2}$

b)

$6\tfrac{1}{2}$

72.

Compute $88^2 - 12^2$ .

a)

7,600

b)

7,744

73.

If $\tfrac{3}{4}\%$ of $x$ is $3\tfrac{1}{4}\%$ of 6, then $x$ = ____.

a)

26

b)

24

74.

Evaluate $10^0 + 2^1 + 3^2 + 4^3$ .

a)

76

b)

78

75.

Compute $33^2 + 11^2$ .

a)

1,210

b)

1,320

76.

Evaluate $(2 + 4 + 6 + \cdots + 10)^2$ .

a)

900

b)

625

77.

What is the area of a right triangle with hypotenuse 13 and leg 5?

a)

30

b)

32.5

78.

Compute $\sqrt{576} \times \sqrt{625}$ .

a)

600

b)

650

79.

Evaluate $24 + 24^2$ .

a)

600

b)

624

80.

Evaluate $25^4$ .

a)

390,625

b)

156,250

81.

Evaluate $413 + 51$ .

a)

454

b)

464

c)

463

d)

474

82.

Evaluate $5 \times 16$ .

a)

75

b)

90

c)

80

d)

85

83.

Evaluate $88 - 49$ .

a)

39

b)

41

c)

29

d)

48

84.

Evaluate $111 \div 3$ .

a)

33

b)

36

c)

37

d)

39

85.

Compute $\dfrac{11}{16} - \dfrac{1}{4}$ .

a)

$\dfrac{5}{16}$

b)

$\dfrac{7}{16}$

c)

$\dfrac{9}{16}$

d)

$\dfrac{3}{8}$

86.

Evaluate $12 + 0.4$ .

a)

12.04

b)

12.4

c)

12.8

d)

11.6

87.

Evaluate $45 \times 11$ .

a)

450

b)

495

c)

540

d)

485

88.

Evaluate $14^2$ .

a)

182

b)

184

c)

196

d)

200

89.

Evaluate $24 - 16 \div 4$ using order of operations.

a)

4

b)

8

c)

20

d)

28

90.

Evaluate $2023 \times 99 + 2024$ .

a)

202101

b)

202301

c)

202401

d)

200299

91.

Evaluate $18 \times 22$ .

a)

382

b)

396

c)

404

d)

418

92.

If the arithmetic mean of $8$ , $x$ , and $20$ is $15$ , find $x$ .

a)

15

b)

16

c)

17

d)

18

93.

Which is larger: $\dfrac{5}{11}$ or $\dfrac{6}{13}$ ?

a)

$\dfrac{5}{11}$

b)

$\dfrac{6}{13}$

c)

They are equal

d)

Cannot be determined

94.

Evaluate $15 \times 35 + 5 \times 35$ .

a)

650

b)

675

c)

700

d)

735

95.

Evaluate $48 \times 68$ .

a)

3168

b)

3204

c)

3264

d)

3336

96.

Evaluate $100 - 32 - 18$ .

a)

40

b)

48

c)

50

d)

52

97.

Evaluate $33^2$ .

a)

1069

b)

1078

c)

1089

d)

1098

98.

Compute $\dfrac{28}{32} + \dfrac{36}{40}$ and give your answer as a simplified fraction.

a)

$\dfrac{69}{40}$

b)

$\dfrac{70}{40}$

c)

$\dfrac{71}{40}$

d)

$\dfrac{72}{40}$

99.

Convert the Roman numeral MMDXL to Arabic numeral.

a)

2540

b)

2550

c)

2450

d)

2400

100.

Evaluate $18.75 \times 320$ .

a)

5600

b)

5800

c)

6000

d)

6200

101.

Evaluate $18 \times 22 + 4$ .

a)

396

b)

398

c)

400

d)

404

102.

Evaluate $101 \times 567$ .

a)

56601

b)

57167

c)

57267

d)

57567

103.

If $f(x) = -2x^2 - 15$ , find $f(-4)$ .

a)

$-31$

b)

$-39$

c)

$-47$

d)

$-63$

104.

Evaluate $31 - 31^2$ .

a)

$-900$

b)

$-930$

c)

$-961$

d)

$-993$

105.

Find the positive square root of $625$ .

a)

20

b)

24

c)

25

d)

26

106.

If $n$ is to $6$ as $8$ is to $3$ , find $n$ .

a)

12

b)

14

c)

16

d)

18

107.

If $20 + 4x$ is $44$ , find $x$ .

a)

5

b)

6

c)

7

d)

8

108.

Evaluate $229^2$ .

a)

52341

b)

52441

c)

52541

d)

52641

109.

Evaluate $82 \times 88$ .

a)

7184

b)

7208

c)

7216

d)

7232

110.

Find the sum of the prime numbers less than $20$ but greater than $11$ .

a)

41

b)

46

c)

49

d)

52

111.

If $1.75 + 0.5 = n$ , evaluate $n^1$ .

a)

1.75

b)

2.0

c)

2.25

d)

2.5

112.

$24$ is divisible by how many whole numbers?

a)

6

b)

8

c)

10

d)

12

113.

Convert $3$ square yards to square feet.

a)

18

b)

24

c)

27

d)

30

114.

Express $6$ percent as a common fraction.

a)

$\dfrac{1}{12}$

b)

$\dfrac{3}{50}$

c)

$\dfrac{2}{25}$

d)

$\dfrac{6}{100}$

115.

If the sales tax is $8\dfrac{1}{2}\%$ , what is the amount of sales tax on an item that costs 50 $?$ S\_\_\_\_\_\_\_\_$.

a)

3.75$

b)

4.00$

c)

4.25$

d)

5.00$

116.

The LCM (24, 15) × GCF (24, 15) =

a)

180

b)

240

c)

360

d)

480

117.

The area of an equilateral triangle with a side of 8 cm is a √3 and a = ____ cm².

a)

8

b)

12

c)

16

d)

20

118.

1111√9801 =

a)

99,999

b)

109,989

c)

111,111

d)

121,989

119.

63 (base 10) = ____ (base 5)

a)

213 (base 5)

b)

222 (base 5)

c)

223 (base 5)

d)

231 (base 5)

120.

$5^4 + 5^3 =$

a)

625

b)

725

c)

750

d)

875

121.

649 × 111 =

a)

70,239

b)

71,589

c)

72,039

d)

73,649

122.

What is the area of a rhombus with diagonals 120 and 100?

a)

5,000

b)

6,000

c)

10,000

d)

12,000

123.

32 (base 5) − 4 (base 5) = ____ (base 5)

a)

14 (base 5)

b)

21 (base 5)

c)

23 (base 5)

d)

31 (base 5)

124.

If 30 + 3 = $n^2$ + 1, and n > 0, then n =

a)

$4\sqrt{2}$

b)

$\sqrt{32}$

c)

$6$

d)

$\sqrt{30}$

125.

If A = {2, 3, 4, 5}, B = {1, 2, 4, 6} and C = {2, 4, 6}, how many elements are in A ∩ C ∩ B?

a)

1

b)

2

c)

3

d)

4

126.

18 pints = ____ quarts

a)

6

b)

8

c)

9

d)

12

127.

The surface area of a rectangular solid that measures 8 by 5 by 2 is

a)

112

b)

120

c)

132

d)

144

128.

625 × 160 =

a)

10,000

b)

100,000

c)

250,000

d)

1,000,000

129.

In the sequence: 1, 4, a, 16, 25, b, 49, ... (a − b)² =

a)

81

b)

256

c)

625

d)

729

130.

What is the 6th term in the sequence: 1, 4, 9, ... ?

a)

25

b)

30

c)

36

d)

49

131.

The sum of the interior angles for a square is ____ °

a)

180°

b)

270°

c)

360°

d)

540°

132.

What is the area of a parallelogram with opposite sides each 16 and altitude between them 25?

a)

300

b)

350

c)

400

d)

425

133.

What is the area of a rectangle with a perimeter of 24 and length 8?

a)

24

b)

28

c)

32

d)

40

134.

What is the radius of a circle with a circumference of $100\pi$ ?

a)

25

b)

40

c)

50

d)

100

135.

The hypotenuse for a triangle with sides 8, 15 is

a)

16

b)

17

c)

18

d)

19

136.

$(15^2 + 8 \times 6) \div 4$ has a remainder of

a)

0

b)

1

c)

2

d)

3

137.

The surface area for a cube with edge 5 is

a)

100

b)

125

c)

150

d)

175

138.

$15^4 \times 11^1 + 5^3 =$

a)

556,875

b)

557,000

c)

557,125

d)

566,875

139.

$(2^5 \times 10^2)^{-1} =$

a)

$\dfrac{1}{320}$

b)

$\dfrac{1}{1600}$

c)

$\dfrac{1}{3200}$

d)

$\dfrac{1}{6400}$

140.

440 yards = ____ feet

a)

1,200

b)

1,260

c)

1,320

d)

1,440

141.

36 km/hr = ____ meters/sec

a)

8

b)

9

c)

10

d)

12

142.

$8\tfrac{1}{3}\% + 33\tfrac{1}{3}\% =$ ____ (common fraction)

a)

$\dfrac{2}{5}$

b)

$\dfrac{5}{12}$

c)

$\dfrac{3}{8}$

d)

$\dfrac{7}{12}$

143.

$\dfrac{1+2+3+\cdots+7}{1+3+5+\cdots+9} =$

a)

$\dfrac{7}{9}$

b)

$\dfrac{28}{25}$

c)

$\dfrac{25}{28}$

d)

$\dfrac{9}{7}$

144.

The sum of the positive divisors of 20 is

a)

36

b)

40

c)

42

d)

44

145.

$4! =$

a)

12

b)

24

c)

36

d)

48

146.

$\dfrac{1}{4} \div \dfrac{3}{8} =$

a)

$\dfrac{1}{2}$

b)

$\dfrac{2}{3}$

c)

$\dfrac{3}{4}$

d)

$\dfrac{4}{3}$

147.

15 miles = ____ yards

a)

17,600

b)

23,100

c)

26,400

d)

31,200

148.

$11^2 + 33^2 =$

a)

1,089

b)

1,121

c)

1,210

d)

1,232

149.

$55\tfrac{5}{9}\% =$ ____ (common fraction)

a)

$\dfrac{1}{2}$

b)

$\dfrac{5}{9}$

c)

$\dfrac{11}{20}$

d)

$\dfrac{3}{5}$

150.

0.1333... = ____ (common fraction)

a)

$\dfrac{1}{8}$

b)

$\dfrac{2}{15}$

c)

$\dfrac{3}{20}$

d)

$\dfrac{1}{6}$

Elementary Number Sense Test A (Page 1)

Total questions: 150

Worksheet time: 1hrs 15mins

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