LCM and HCF
Find the HCF of 54 and 30. SHOW YOUR WORK.
6
Eratosthenes
Calculate: 142, 162, 242, 133, 193, and 273.
196, 256, 576, 2,197, 6,859, 19,683
Express each of these situations using a directed number: a profit of $100, a drop of 13 degrees, 25 km below sea level, a debt of $2,000, a time two hours ahead of Pacific Standard Time, and a height of 400 m.
100, -13, -25, -2,000, 2, 400
Simplify without using a calculator. Show your work:
(10-4) times (4+9)
78
Find the LCM of 8 and 14. SHOW YOUR WORK.
56
What is the definition of a composite number? What is the definition of a prime number? Write your responses in a complete sentences.
i.e. A composite number is a number that has more than two factors. A prime number has exactly two factors: one and the number itself.
Calculate:
root (3) (10,648)
root (3) (5832)
root (3)(1728)
sqrt784
sqrt1764
sqrt400
22, 18, 12, 28, 42, 20
Matt has a bank balance of $45.50. He deposits $15.00 and then withdraws $32.00. What is his new balance?
$28.50
Simplify without using a calculator. Show your work:
45 - [20 times (4-3)]
25
Find the LCM and HCF of 18 and 24. SHOW YOUR WORK.
LCM: 72
HCF: 6
Complete the prime factorization of 360. SHOW YOUR WORK.
answers may vary
Use the product of prime factors to find the square root of 1,296. SHOW YOUR WORK.
36
A diver 27 m below the surface of the water rises 16 m, before diving again for 33 m. At what depth is she at now?
-44 m
Insert bracket(s)/parenthese(s) into the following calculations to make them true.
36div3times3-3=6
8+5-3times2=20
1+4times20div5=20
36div(3times3-3)=6
(8+5-3)times2=20
(1+4)times(20div5)=20
Find two numbers that are both greater than 15 that have an HCF of 3. SHOW YOUR WORK.
Examples: 18 and 21, 21 and 24, 24 and 27, etc.
What is the divisibility test to decide if a number is divisible by 3? Write your response in a complete sentence.
A number is exactly divisible by 3 if the sum of its digits is a multiple of 3.
Use the product of prime factors to find the cube root of 2,744. SHOW YOUR WORK.
14
On a cold day in New York, the temperature at 6 a.m. was 15 degrees Fahrenheit. By noon, the temperatue had risen to 24 degrees Fahrenheit. By 7 p.m. the temperature had dropped by 16 degrees Fahrenheit from its value at noon. What was the temperature at 7 p.m.?
8 degrees Fahrenheit
Do these two equations produce the same answer?
sqrt64+sqrt225
sqrt(64+225)
No. 23 and 17
Kehlani has 300 blue beads, 750 red beads, and 900 silver beads. She threads these beads to make wire bracelets. Each bracelet must have the same number and color of beads. What is the maximum number of bracelets she can make with these beads?
2 bracelets
Is 2,532 divisible by 6? SHOW YOUR WORK using our divisibility tests, NO CALCULATOR.
Yes
Which is greater and by how much?
8^3 times root (6)(1771561)
or
root (4)(104976) times 3^5
First expression by 1,258
Local time in Abu Dhabi is four hours ahead of Greenwich Mean Time. Local time in Rio de Janeiro is three hours behind Greenwich Mean Time. If it is 3 a.m. in Greenwich, what time is it in Rio de Janeiro? If it is 6 a.m. in Abu Dhabi, what time is it in Rio de Janeiro?
12 a.m. in Rio de Janeiro
11 p.m. in Rio de Janeiro
Place the given numbers in the correct order to make a correct number sentence.
4, 5, 6, 9, 12
(square+square)-(square-square)=square
(9+4)-(6-5)=12