The preparation of 7th grade math practice includes the topics of Number theory, Operations with integers, Decimal numbers, Operations with decimals, Integers, Operations with fractions, Rational numbers, Pythagorean theorem, Exponents and square roots, Fractions and mixed numbers, Ratios and proportions, Number sequences, Measurement, Charts and graphs, Geometry, Statistics, Transformations, Coordinate graphs, Single-variable equations, Probability. Let, see some of the examples to prepare 7th grade math problems.
Prepare for 7th grade math practice:
Prepare math practice 1:
At a family reunion, each of Connor's aunts and uncles is getting photographed once. The aunts are taking pictures in groups of 2 and the uncles are taking pictures in groups of 8. If Connor has the same total number of aunts and uncles, what is the minimum number of aunts that Connor must have?
Solution:
Write the prime factorization for each number; 2 is a prime number.
You do not need to factor 2.
8 = 2 ? 2 ? 2
Repeat each prime factor the greatest number of times it appears in any of the prime factorizations above.
2 ? 2 ? 2 = 8
The least common multiple of 2 and 8 is 8.
That means that the minimum number of aunts Connor could have is 8, because 4 groups of 2 aunts is a total of 8 aunts and 1 group of 8 uncles is a total of 8 uncles.
The smallest number of aunts is 8.
Prepare math practice 2:
Tatiana placed 9 weights on a scale during science class.
If each weight weighed 0.7 grams, what did the scale read?
Solution:
Multiply the weight of each weight by the number of weights and multiply as you would multiply whole numbers.
0.7
9 ?
________
63
Count the number of decimal places in the factors.
There is 1 decimal place in 0.7.
Move the decimal point 1 place to the left in the answer.
63 ? 6.3
The scale read 6.3 grams.
Prepare math practice 3:
Gabriel owns 10 acres of farmland. He grows beets on 1/5 of the land. On how many acres of land does Gabriel grow beets?
Solution:
Gabriel grows beets on '1/5' of 10 acres of land.
Multiply:
'10xx1/5 =?'
Write 10 is a improper fraction.
'10 = 10/1'
Multiply the numerators and multiply the denominators.
'10/1xx 1/5 = (10xx1)/(1xx5)=10/5'
Simplify the product.
'10/5 = 2'
Gabriel grows beets on 2 acres of land.
Prepare more for 7th grade math practice:
Prepare math practice 4:
Ballet dancers are positioned on stage. If Eve is 9 feet straight behind Curtis and 12 feet directly left of Gun-Woo, how far is Curtis from Gun-Woo?
Solution:
Draw a diagram.
Use the Pythagorean theorem, with a = 9 and b = 12.
a2 + b2= c2
92 + 122= c2
81+144 =c2
225=c2
Sqrt 225 = sqrt c2
15 = c
Curtis is 15 feet from Gun-Woo.
Prepare math practice 5:
A football player named Cole played 40 games last year. This year, he played 5% more games. How many football games did Cole play this year?
Solution:
"5% more" means you should add 5% to the original amount:
100% of original amount + 5% of original amount = 105% of original amount
Write and solve an equation:
Final amount = 105% of original amount
= 105% of 40
= 1.05 ? 40
= 42.
Cole played 42 games this year.
Prepare math practice 6:
Alice's class took a field trip to the art museum. It took them 1 hour to drive to the museum. They stayed at the museum for 3 hours and 15 minutes. When the class left the museum, it was 12:30 P.M. What time did Alice's class leave for the field trip?
Solution:
Add the times to find the total elapsed time.
1 h + 3 h 15 min = 4 h 15 min
Now find 4 hours and 15 minutes before 12:30 P.M.
Count back by hours to find 4 hours before 12:30 P.M.
This is 8:30 A.M.
Now subtract 15 minutes from 8:30 A.M.
This is 8:15 A.M.
Alice's class left at 8:15 A.M.
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