Homeschool Math - 01.23.23

 

1.     a. 5.2 ÷ ___________ = 0.052                     b. 7,650 ÷ ___________ = 7.65

2. A baker uses 5.5 pounds of flour daily. a. How many ounces of flour will he use in two weeks? 

 (1 lb = 16 oz)

3. Max travels to see his brother’s family by car. He drives 216 miles in 4 hours. What is his rate in miles per hour?

4. The entrance fee to a cricket match was $12 for a teacher and half-price for a student. A group of 20 students and 3 teachers went to the match. Calculate the TOTAL entrance fee for the group.

 Use BODMAS to calculate:

5. 6 + 4 ÷ 2

6. 7-3 x 2

7. Jack went to sleep at 8:05 pm. His sister went to sleep 45 minutes before him. At what time did Jack’s sister go to sleep?

Skill 1 & Skill 2

1. 2 subtracted from 7 gives:
(a) -9
(b) 5
(c) -5
(d) 9

2. 5 added to – 5 gives:
(a) 10
(b) -10
(c) 0
(d) -25

3. The number 3 less than -2 is:
(a) -1
(b) 1
(c) 5
(d) -5

4. Which of the following numbers is to the right of -3 on number line?
(a) -4
(b) -2
(c) -12
(d) -13

5. The number of integers between -2 and 2 is:
(a) 5
(b) 4
(c) 3
(d) 2

6. The opposite of -7 is:
(a) -6
(b) 6
(c) 5
(d) 7

8. Which of the following number is greater than -1?
(a) -2
(b) -10
(c) 0
(d) -3

9. 7 steps to the left of 4 on number line gives:
(a) 3
(b) 11
(c) -11
(d) -3

11. Which of the following set of numbers is in descending order? (greatest to smallest)
(a) 2, -2, 1, -1
(b) 0, 1, 2, 3
(c) 1, 0, -1, -2
(d) -3, -2, -1, 0

12. Sum of -10, – 5 and 12 is:
(a) 27
(b) -3
(c) 3
(d) -27

13. Which of the following statement is false?

(a) -4 > -5
(b) -4 < 5
(c) 4 < -5
(d) 4 > -5

1.     6k + 7k

2.     4x − 10x

3.     4p + 2 p

4.     6w − 3w

5.     7x − 3x − x

6.     5n + 11n

7.      9k + 8k

8.     16n − 14n

9.     10y + 3y − 5y

10.     20t − 14t

11.     −3g − 2g

12.     13y + 6y − 5y

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Simplify the following expressions

 (a) 3a + 2b + 4a + b

        3a + 4a + 2b + b

            = 7a + 3b

 (b) 7y + 5y + 2h + 2h

 (c) g + 8a + 2a + g

 (d) 7m + 7p + 8m + p + 2p

 (e) 9e + 2 + e + 2

 (f) 4 + 3a + 2a + 8

 (g) 2y + 4 + 3y − 1

 (h) 8 + 3w − w − 3

 (i) 5 − 4s − 2 + 10s

 (j) 3x + 6y + 5x − 2y

 (k) 6m − 2s + 11s + m

 (l) 2a + 3b − 2 + a + 3b + 4

 (m) 3a − 2b + a − 5b

 (n) 2x − 2y − 6x + 5y

 (o) y − 4m − 3y − 5m

 (p) 7p − 2q − q + 3r + 4r

 (q) 11c + 8d − 6c − 11d

Volume - Finding an Unknown Side

Draw it out!

1. Damien is building a file cabinet that must hold 20㎥. He has created a base for the cabinet that is 4m by 1m. How tall should he build the cabinet?

2. Find the length of a box that has a volume of 60. Its length is 2m and its width is 3m.

3. A movie theater designs two bags to hold 96 cubic inches of popcorn.  Find the height of each bag. 

   
   

4. The volume of the box below is 12 inches. What is the length of the unknown side?

5.

6. The volume of this rectangular prism is 72 in3 . What is the missing measurement for c?

8. The volume of this rectangular prism is 16 cm3 . What is the missing measurement for y?