Download Number Sense

The tests that follow are meant to be done in ten minute increments.
If you can finish them in less time, cut your allotted time down.
If you can not finish the test, take extra time until you can finish. Every now and
then go back and see if you can finish in 10 minutes or less with few mistakes.
There are currently no answers. When answers become available this line will be
replaced with something of the form
“Answers are located at the end of the tests”
As time goes on and I find mistakes or I find that too many types of problems have
been repeated, I will modify the tests.
The last page is just an indicator for me so that I know what tests I still need to write.
It will remain there until I cover all tests I have in mind.
There are currently 12 ( maybe 11 ) tests ?
Another link will be added that has additional tests with general content. For now
they are somewhere in my hard drive hidden waiting for a golden moment and yell
out “surprise”.
Number Sense
Test S1 -Perfects Squares
1. 32 + 44 = _______________
17. 26 x 6 = ______________
2. 132 – 17 = _______________
18. 13 x 1 + 13 x 5 = _________
3. 92 = ________________
19. 80 x 120 = _______________
4. 11 x 11 = _____________
***20. 198 x 21 = _____________
5. 19 x 21 = ____________
(think of 20x20 – 1x1)
21. 14 x 13 + 14 = ____________
6. 8 x 13 = ______________
22. If a dozen cookies sell for $2.40,
then how much will 3 cookies sell for ? $ ________
7. 42 + 142 + 1000 = __________
23. 142 + 959 = _____________
8. 88 ÷ 4 = ________________
24. 427 - 232 = ____________
9. 12 x 10 + 12 x 2 = __________
25. 1 • 2 • 3 d 4 • 5 = _______________
***10. 103 + 199 = __________
26. 152 = _______________
11. XII = _______________ Arabic numeral
27. 42 + 42 + 42 + 42 + 42 = ______________
12. What is the perimeter of a
square with sides of length 9 inches ? _______
28. 100 x 7 + 80 x 2 + 3 x2 = ___________
29. 2 4 = ____________
13. How many sides does a quadrilateral have ? _______
*** 30. 357 ÷ 71 = ______________
14. 13 x 13 + 13 - 13 = _____________
15. 20 x 20 x 20 = _______________
31. A pipe is 12 feet long,
how many feet is it in length ? _________
16.
32. What is the smallest prime number ? ___________
12 – 4 x 2 + 5 = _____________
Number Sense
Test S2 -Perfects Squares
1. 142 + 87 = _______________
17. 26 x 6 = ______________
2. 309 – 215 = _______________
18. 13 x 1 + 13 x 5 = _________
3. 9 x 9 x 2 = ________________
19. 80 x 120 = _______________
4. 5 • 6 - 4 • 3 = _____________
***20. 198 x 21 = _____________
5. 19 x 7 = ______________
21. 14 x 13 + 14 = ____________
6. 1 + 11 + 111 + 1111 = _____________
22. If a dozen cookies sell for $2.40,
then how much will 3 cookies sell for ? $ ________
7. 48 ÷ 4 = __________
23. 142 + 959 = _____________
8. 19 x 11 – 19 = ________
24. 427 - 232 = ____________
9. 15 2 = _____________
25. 1 • 2 • 3 d 4 • 5 = _______________
***10. 103 + 199 = __________
26. 152 = _______________
11. XII = _______________ Arabic numeral
27. 42 + 42 + 42 + 42 + 42 = ______________
12. What is the perimeter of a
square with sides of length 9 inches ? _______
28. 100 x 7 + 80 x 2 + 3 x2 = ___________
29. 2 4 = ____________
13. How many sides does a quadrilateral have ? _______
*** 30. 357 ÷ 71 = ______________
14. 13 x 13 + 13 - 13 = _____________
15. 20 x 20 x 20 = _______________
31. A pipe is 12 feet long,
how many feet is it in length ? _________
16.
32. What is the smallest prime number ? ___________
12 – 4 x 2 + 5 = _____________
Number Sense Test S3
Products of 50
1. 82 +29 = _______
18. 3 x 4 x 5 = ____________
2. 207 – 114 = ________
19. 500 x 140 = ________
3. 34 x 6 = _________
***20. 503 x 44 = __________
4. 12 x 50 = ________
21. The product of the smallest
two digit odd numbers is ______
5. 12 x 12 = _________
6. 9 x 99 = __________
(think of 9 x 100 and correct your answer)
22. 3x5x15 = ____________
7. 981 ÷ 9 = _________
23. 50 % as a fraction in simplest form. ______
8. 32 x 50 = _________
24. 0.2 as a fraction in simplest form. _______
9. 36 inches = _______ feet
25. ¼ = ____________ decimal.
***10. 989 + 618 = ___________
26. The only even prime number. ________
11. 13 x 9 + 13 = __________
27. How many sides does
a pentagon have ?_____
12.
XLI = ____________ Arabic Numeral
28. 4 x100 + 8x10 + 2 x 9 = ________
13. A triangle has a perimeter of 42 inches.
Two of the sides are of 17 and 12 inches
in length. What is the length of the third
29. 3 x 2 x 5 x 6 = _____________
side? ___
***30. 598 ÷ 51 = ______________
14. 51 x 22 - 22 = ____________
31. What is the remainder of 17 ÷ 5 ? ______
15. 902 - 432 = __________
16. 13 x 13 = ____________
17. 99 + 111 = ___________
32. Find the next number in the sequence
4, 9, 14, ... __________
33. 1 ½ • 4 = __________
Number Sense Test S-4
Products of 50
1. 98 – 43 = _____________
18. 948 + 1240 + 52 = ___________
2. 82 x 3 = __________
19. What is the area of a rectangle with sides
of length 8 inches and
12 inches ? _____sq. inches.
3. 50 x 32 = __________
***20. 499 x 28 = _________
4. 88 ÷ 4 = ___________
21. 4 + 8 + 12 + 16 + 20 = __________
5. 102 x 43 = _________
(101 trick + 43 )
22. 11 x 11 + 11 = __________
6. 64 x 9 = _________
23. 900 – 90 – 9 = __________
7. 51 x 13 = __________
24. Reduce 12/36 = __________
8. 14 x 14 = ____________
25. 366 ÷ 6 = __________
9. XV + XVI = __________ Roman numeral
( follow instructions – answer should be
Roman numeral)
26. 15 x 42 = ____________
27. 8 x 3 x 5 = ___________
***10. 993 - 407 = __________
28. 80 x 80 = ____________
11. 16 x 16 = ____________
29. 17 x 3 x 2 = ___________
12. 31 x 51 = __________
*** 30. 47 x 32 + 5 x 32 = __________
13. 4 yards = ____________ inches
31. What is the square root of 81 ? _______
15. 3 pints = __________ oz.
32. 34 = ____________
16. 52 x 14 – 14 - 14 = _______
17. A baby that weighs 8 lbs. and
2 oz. at birth weighs a total
of how many oz? ______oz.
33. What is the largest number that will divide evenly
into both 12 and 16 ?
GCD. __________
Number Sense Test S-5
(Simple products of 101 and 1001)
1. 82 + 8 + 105 = ___________
17. What is the quotient of 99 and 9 ? ______
2. 3 + 2 x 5 = ___________
18. Find the difference of 42 and 33 = _______
3. 8 x 9 – 34 = ___________
19. If a person’s step is 28 inches long, then
how many inches does walk
when he takes 101 steps ?________ inches
4. 56 x 101 = ____________
***20. 97 x 102 = ___________
5. 345 x 1001 = __________
21. 1002 x 321 - 321 = __________
6. 45 x 100 + 45 = ________
7. 64 ÷ 4 = ____________
22. Find the sum of the
first three odd prime numbers. ________
8. 987 + 815 = _________
24. 3 x 100 + 2 x 10 - 3 x 4 = _________
9. 2 x 3 x 4 + 6 = __________
25. 14 x 14 = ___________
***10. The product of 48 and 102 = _____
26. How many pints equals 96 oz. ? _____ pints
11. 986 – 691 = ________
27. 25 x 42 = ______________
12. 15 x 15 = ______________
28. What is the mode of 2, 2, 3, 4, 2, 2, 3, 2?__
13. 9 x 9 + 9 = ____________
29. A rope that is 17 feet long
is how many yards long ? ________ mixed number.
14. How many cm in 2 meters? _________cm.
***30. 999 x 322 = ___________
15. What is the area of a square that has sides
of length 13 inches ? _______sq. inches.
16. Find
XXII + XVI = _________Arabic Numeral
31. If a clock moves through 2 ¼ hours, then
how many minutes has it moved through ? _____ min.
32. 16 - 22 x 2 = _____________
Number Sense Test S6
(Products of 25 )
16. Find the sum of .9 and .1 = ________
1. 98 + 24 = ___________
17. ¾ + ¾ = __________ reduced.
2. 129 - 32 = __________
18. 12 x 5 x 5 = _________
3. 83 x 7 = _____________
19. 96 ÷ 6 = ________
4. 25 x 16 = ____________
*** 20. 249 x 24 = ____________
5. Find the product of 25 and 21. _________
21. 17 x 17 = ____________
6. 101 x 45 =_____________
22. 3 + 5 + 7 + 9 + 11 = __________
7. 198 + 487 = ___________
23. What is half of 48 ? ___________
8. 14 x 14 = _________
24. How many oz. in 25 pints ? ________ oz.
9. How many nickels in $1.25 ? ___________
***10. Forty-four is added to itself
twenty-six times. What is the total ? ____
25. It costs $ 2.50 per square foot to build a
house. If a house is 2400 feet,
how much will it cost to build ? ________
11. How many even numbers
between 3 and 25?_________
26. 32 x 75 = _________
( use 25 trick and triple answer )
12. 13 x 25 = _____________
27. 5 x 8 x 5 = ______________
13. A quadrilateral is a polygon
with how many sides ? _____
28. 3.5 feet = _____________ inches.
14. 15 x 32 = ___________
29. The product of the two smallest
prime number is ______
15. A box contains 32 items that sell for $.25.
How much will you make
if you sell all 32 items ?________
*** 30.
1000 ÷ .26 = _____________
Number Sense S-7
Products of 25
1. 88 + 23 = _______
17. How many feet in 34 yards? ______
2. 107 – 88 = _______
18. How many meters in 200 cm.? _____meters
3. 5 x 13 x 5 = ________
19. Find the product of 27 and 25. ______
4. 2 x 100 – 4 x 8 = ________
***20. 120 x 26 = ___________
21. 15 x 18 = ____________
5. 15 x 15 = _________
22. 9 x 9 x 9 = _____________
6. 7 + 7 + 7 + 7 + 7 + 7 + 7 = ______
23. 808 ÷ 8 = _____________
7. 94 x 9 = __________
24. How many dimes in 8 quarters?_____dimes
8. 205 ÷ 5 = ________
25. 12 x 12 + 2 = ____________
9. How many eggs in a carton
that contains 2 ½ dozen eggs. ?______
26. 8 x 8 + 8 = ___________
27. 24 ÷ 6 - 4 = ____________
***10. 12 + 122 + 1222 = ________
28. 25 x 25 - 5 x 5 x 5 x 5 = _________
11. Find how many minutes
in two and one-half hours. ________ min.
29. 17/ 20 - 3/20 = __________ fraction
12. 25 % = _________ as a reduced fraction
*** 30. 12000 ÷ 3/8 = _________
13. 976 x 3 = ____________
31. If a dozen cats sell for $240,
then 3 cats will sell for ? $______
14. 17 x 17 = ___________
32.
The total of 13 nickels. $ ____________
15. 49 x 101 = __________
33. Which is larger 0.73 or ¾ ? _________
16. 55 x 4 = ____________
Number Sense Test S-8
Products of 11
1. 56 + 45 = ________
18. 2/3 + 2/3 = _________ mixed number
2. 88 – 79 = _________
19. 11 x 48 = ___________
3. 4 x 4 x 2 = __________
***20. 112 x 23 = ___________
4. 82 ÷ 2 = ____________
21. Other 42 what is the largest
number that will divide into 42 ? ______
5. 12 x 11 = ___________
22. 89 x 11 = __________
6. 34 x 101 = ___________
7. 99 + 309 = ___________
23. 5 ½ oz in each container. A box contains
16 containers. How many oz.
are there in the box?____________
8. 408 – 211 = ____________
24. .03 = ___________ fraction
9. XLIX = ____________Arabic Numeral
25. You can carry 11 boxes at a time.
How many trips will it take to
carry 66 boxes ?______
*** 10. 1099 + 870 = ____________
26. 38 x 10 + 38 = ____________
11. 34 x 11 = ______________
27.
4 + 6 x 3 = __________
12. 25 x 36 = ____________
13. Find the area of the square with sides
of length 11 inches. _______ sq. inches.
28. A foot long sandwich is to be divided by four people.
If each of the four eats the same amount, how much
of the sandwich will be eaten
by each in terms of inches ?__________
14. 16 x 16 = _____________
29. 110 x 42 = ______________
15. 30 x 40 = ____________
*** 30. 391 •
3
= ___________
13
16. 400 ÷ 20 = ___________
31. 13 x 13 x10 = _____________
17. If x = 4, then x + 9 = ? _______
Number Sense- Test S-9
(Products of 11 )
1. 1 + 11 + 111 = _________
18. 999 + 231 = ___________
2. 25 - 18 – 5 = _________
19. 904 – 782 = __________
3. 4 + 4 + 4 + 4 + 4 + 4 = _______
***20. 112 x 41 = _____________
4. 45 x 11 = __________
21. 918 ÷ 9 = ______________
5. 903 - 708 = ________
22. 52 x 12 – 12 – 12 = ___________
6. How many prime numbers
between 2 and 10?________
23. 2 + 3 x 8 = _____________
7. 99 x 11 = ____________
24. What is the perimeter of a rectangle with
sides of length 8 inches and
12 inches ? ____in.
8. 25 x 11 = __________
25. 99 x 10 + 99 = ___________
9. 51 x 11 = ____________
26. 7 x 7 + 7 = _____________
***10. 31+31+31+31+31+31+31+31+31+31+31 = _____
27. The sum of 234 and 324 is ________
11. 98 x 8 = ___________
28. 5 ½ • 34 = ____________
12. 657 x 1001 = _________
29. 3 x 4 x 3 x 4 = ______________
13. What is the perimeter of a square that
has a side of length of 8 feet ? ________ft.
***30. 223 x 24 = ____________
31. 2.5 pounds = ________ounces.
14. 39 x 11 = __________
15. .3 + .7 = _________
32. If x = 12, then 2x – 3 = __________
16. 1 + 3 + 5 + 7 + 9 = _______
33. 16 x 15 = _____________
17. 16 x 16 = _____________
34. 40 = _________
Number Sense Test S-10
(products of 75)
1. 196 + 25 = __________
18. 59 x 11 = __________
2. 403 – 209 = ________
19. 18 x 18 = __________
3. 3 x 25 x 12 = _________
***20. 74 x 36 = _______
4. 81 x 11
21. 24 x 76 – 24 = ________
5. 66 x 8 = __________
22. 51 x 17 = ____________
6. 824 ÷ 8 = __________
23. 15 x 16 = ____________
7. 988 + 768 = _________
24. 2 is to 6 as 6 is to ________
8. 25 x 42 = __________
25. If x = 12, 33 – x = __________
9. 50 x 24 = ________
26. If the area of a square is 64 sq. inches,
then the side is of length ? ________ in.
*** 10. 892 + 622 = ________
27. 75 x 13 + 75 x 3 = ___________
11. 32 x 75 = ____________
12. 30 x 40 x 20 = _________
28. What is the perimeter of a regular pentagon
with side of length 32 inches ?
_____ in.
29. 543 x 4 = __________
13. 982 – 200 – 88 = ___________
*** 30.
76 x 84 + 76
14. 38 x 101 = ___________
31. 1/8 + 1/8 + 1/8 + 1/8 = __________
15. 5 x 28 x 3 = ___________
32. ¼ + ½ = __________
16. .75 + .15 = _________
33. 6 • ½ = ___________
17. 12 + 8 x 2 = ________
34. write as a decimal 30 % = __________
Number Sense Test S-11
Products of 125
1. 84 x 2 = ___________
17. Find 13 x 13 + 4 = ____________
2. 91 – 73 = ___________
18. An egg weighs 8 oz., how
many pounds in one dozen ? _________
3. 88 ÷ 8 = __________
4. 25 x 24 = ____________
19. If three dozen gadgets cost $6, then how
much will three of these
gadgets cost ? $ _____
5. 994 + 104 = __________
***20. 124 x 32 = ____________
6. 232 – 144 = ___________
21. 1/8 of 40. ___________
7. 2 + 4 + 6 + 8 + 10 + 12 + 14 = _______
22. 25 % of 200 . __________
8. 125 x 16 = ___________
23. 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = ______
( fractions should be reduced)
9. 51 x 5 - 5 = ___________
24. 24 % = _________decimal
*** 10. 121 + 121 + 121+ 121 + 121 = _______
25. 85 x 101 = _____________
11. 24 x 12 5 = ________
26. 14 x 13 + 14 = ____________
12. 68 x 7 = _________
27. 130 x 110 = ____________
13. 32 x 11 = __________
28. 75 x 24 = _____________
14. How many nickels in $1.25 ? __________
29. 260 cents = ________ nickels
15. If the perimeter of a rectangle is 24 inches
and the length is 8 inches,
what is its width ?________ in.
*** 30. 122 x 32 + 32 + 32 + 32 = ________
31. What is the 2 + 16 ÷ 23 = ___________
16. 87 x 110 = ___________
32. 42 - 22 = ___________
Number Sense Test S-12
(products of 12 )
1. 23 + 39 = _____________
17. 44 ÷ 2 ÷ 11 = ________
2. 49 – 25 = ____________
18. 976 + 498 = _________
3. 76 x 6 = _______________
19. 76 x 11 = _________
4. 12 x 3 = _________________
***20. 119 x 23 = _________
5. 12 + 12 + 12 + 12 + 12 + 12 = _________
21. 5/6 + 5/6 = _______ mixed number
6. 125 x 24 = ____________
22. 5 x .4 = ___________
7. 1001 x 456 = _____________
23. 3 + 3 x 11 = __________
8. 50 x 98 = ____________
9. 440 ÷ 4 = ____________
24. The interior angles always add up to 180
degrees. If two of the angles are 24 and 82
degrees, then the third angle
has a measure of ________ degrees.
***10. 912 + 293 = ________
25. 82 x 12 = _____________
11. 12 x 32 = _________
26. 99 x 12 = _____________
12. Twelve yards = ________ inches
27. the square root of 49. _________
13. 25 x 32 = _____________
14. 4 x 7 x 5 = ____________
15. 92 – 2 x 6 = ________
16. 12 x 12 + 11 = ________
Number Sense – S13
products of 12
Remainder when dividing by n
n=2, 3, 4, 5, 9
Convert to bases
sides of a right triangle
fraction plus its reciprocal
Finding LCM and GCF or GCD
Products of numbers close to 100, less
Products of numbers close to 100 greater
Squaring numbers that end in five
Multiplying numbers that have the same ten’s and
one’s digits add up to 10
Multiplying numbers that have the same one’s digit and
whose ten’s digits add up to 10.
Multiplying difference of squares
Squaring a binomial
Same distance from a known square
28 x 32
Division by 9
Products of 3, 33, 333, ... and some number divisible by 3.
Multiplying by 49 and 51
Multiplying when the digits (one’s add up to 5
Multiplying when the digits ( ten’s add up to 5 )
Multiplying by 11, 111, and 1111,
Teneger trig: products of 12 -19 times another number.