- Which statement is false?
- Seven pens of three cattle is 20 cattle.
- Eight pens of three cattle is 24 cattle.
- Three containers filled with eight pencils is 24 pencils.
- Three containers filled with seven pencils is 21 pencils.
If there are seven pens with three cattle, then the total number of cattle is found by \(7\times 3=21\), not 20. In the other problems, \(8\times 3=24\), \(3\times 8=24\), and \(3\times 7=21\).
- Kaden just spent $4.50 on 18 erasers. How much does one eraser cost?
- $0.20
- $0.25
- $0.30
- $0.35
The cost of one eraser is found by dividing the total cost by the number of erasers. Since the cost of the erasers is $4.50, and there are 18 erasers, the expression for the cost of the eraser will be \($4.50\times 18=$0.25\).
- Raquel has 36 stamps. She groups the stamps into nine equal groups. She then adds two more stamps to each group. If she gives four stamps to each of her 13 friends, how many stamps will she have left?
- 0
- 1
- 2
- 3
If Raquel had 36 stamps and divided them into nine groups, there will be four stamps per group because \(36\times 9=4\).
She then adds two stamps to each group so that she has six stamps per group. Since there are nine groups of six and \(9\times 6=54\), she has a total of 54 stamps.
If she gives four stamps each to 13 friends, she gives away \(4\times 13=52\) stamps. This means she has \(54-52=2\) stamps left over.
- The numbers 4, 6, and 10 are all factors of which number?
- 12
- 24
- 60
- 80
One number is the factor of another if it will divide it with no remainder. We know that 10 is not a factor of 12 because \(12\div 10=1\) with a remainder of 2. Also, 10 is not a factor of 24 because \(24\div 10=2\) with a remainder of 4. We also know that 6 is not a factor of 80 because \(80\div 6=13\) with a remainder of 2. The correct answer is 60, because 4, 6, and 10 all divide it evenly.
- Which pattern of numbers describes the number of line segments needed in the shape pattern below?
- 1, 2, 3, 4
- 6, 12, 18, 24
- 6, 10, 14, 18
- 6, 11, 16, 21
The first figure had six sides. The second figure has 11 sides because five sides had to be added to make the next figure. This pattern of adding five segments continued, so the correct sequence is Choice D.
- Which of the following statements is true?
- 800 is ten times greater than 8.
- 3,000 is ten times greater than 30.
- 70 is ten times greater than 700.
- 900 is ten times greater than 90.
We can calculate that \(90\times 10=900\), so 900 is ten times greater than 90.
- Which of the following is the written form for the number 5,320,080?
- Five million, thirty-two thousand, eighty
- Five million, three hundred twenty thousand, eighty
- Five million, three hundred twenty thousand, eight
- Five thousand, three hundred twenty-eight
The value of Choice A is 5,032,080. The value of Choice B is 5,320,080. The value of Choice C is 5,320,008. The value of Choice D is 5,328.
- Which of the following is 7,859 rounded to the hundreds place?
- 7,850
- 7,860
- 7,800
- 7,900
The 8 is in the hundreds place, and because the number to the right of 8 is a 5, the 8 must round up to a 9. The remaining numbers change to a 0. Therefore the answer is 7,900.
- Solve the following equation:
- 740
- 840
- 830
- 930
Adding the ones place, you get 10, so the one carries to the tens place. We know that \(1+8+5=14\), so the 4 goes in the tens place and the 1 is carried over the hundreds place. We then know that \(1+4+3=8\), so the 8 goes into the hundreds place. This give us the final answer: 840.
- Solve the following equation:
- 837
- 737
- 763
- 863
To subtract the ones column, a 1 has to be borrowed from the tens column, so the 0 becomes 10 and the 5 becomes a 4. We know that \(10-7=3\), so the 3 goes in the ones unit.
To subtract the tens column, a 1 needs to be borrowed from the 2 in the hundreds column. That 2 becomes 1 and the 4 in the tens column becomes 14. We know that \(14-8=6\), so the 6 goes in the tens column.
Finally, the 1 is borrowed from the thousands column so that 1 becomes 0 in the thousands column and the 1 in the hundreds column becomes 11. We know that \(11-4=7\), so the 7 goes in the hundreds place of the answer. This give us the final answer: 763.