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100
What is the area of a square with a side of 11 cm?
A = 11 x 11 = 121 cm squared.
100
What is (a-5)-(-a+1)+(8a-7) in total?
10a - 13
100
What is this 3^(-2) with only positive exponent
3^2
100
100000cm = ________ m
1000
100
Of the following, which is greater than ½ ? A. 2/5 B. 4/7 C. 4/9 D. 5/11 E. 6/13
B
200
what is the volume of a rectangle by 13 m by 12 m by 9 m?
1404 meter cube
200
Factor (4-3x+x^2)+x^2-2x-(5-2x+4x^2) Hint* Simplify them first
(-2x+1)(x-1)
200
Simplify (2^-3)(3^2)ab^-3 --------------------------------- 7(a^-2)5^-2
25 x 9 x a^3 225a^3 ----------------- = -------------------- 8 x 7 x b^3 56b^3
200
What is 10 tons in ounces?
10 x 2000 x 16 = 320000
200
A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long? A. 48 B. 32 C. 24 D. 18 E. 12
A Explanation: If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8. Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.
300
During a 2.5-cm rainfall, how many liters of water fell on a rectangular lawn that is 23 meters long and 17 meters wide?
23 m x 17m x 0.025 = 9775 meters = litres
300
Expand (2x+y)(x-5y)
2x^2-9xy-5y^2
300
Evaluate 64^-2.5 without a calculator
1/32768
300
What is the perimeter of 4 meters by 3 meters square in yards?
P= 2(4+3) = 14 meters The answer is 15.3106 yards
300
In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course? A. 6 B. 15 C. 24 D. 33 E. 54
C You could solve this by drawing a Venn diagram. A simpler way is to realize that you can subtract the number of students taking both languages from the numbers taking French to find the number taking only French. Likewise find those taking only German. Then we have:Total = only French + only German + both + neither 78 = (41-9) + (22-9) + 9 + neither. Not enrolled students = 24
400
When an oval-shaped rock was put into the rectangular fish tank (24 cm by 48 cm by 32 cm(height), the level of the water rose 2.4 cm. What was the volume of the rock?
- 24 cm x 48 cm x 32 cm + 24 cm x 48 cm x 34.4 cm = 2764.8 cm cube
400
Expand (3a - 1)(2a^2 +3a - 4) Hint* Use Distribution method to multiply
6a^3 + 7a^2 - 15a +4
400
Evaluate [(8^0)^8]^1/2] x [(2^9)^(1/3)] - 12
1 x (2^3) - 12 = -4
400
If a circle has a circumference of 62.8 cm, what is the radius of the circle in inches?
62.8 cm/pie/2 = radius radius (9.9949 cm) x 0.393701 inch/cm 3.935.. inches
400
√2 - √3 )² = A. 5 - 2√6 B. 5 - √6 C. 1 - 2√6 D. 1 - √2 E. 1
A Expand as for (a - b)2. (√2 - √3)(√2 - √3) = 2 - 2(√2 x √3) + 3 = 5 - 2 √6
500
In a sphere with a radius of 5.33 cm, a cube is taken out of the the sphere. The cube has corners that always touch the sphere's surface. What is the volume of the remains? (to 2 decimal points)
(Volume of Sphere) minus the (Volume of Cube) Pie*4/3*(5.33)^3 - ((2(5.33)^2)^(1/2))^3 =205.98
500
Factor (5y + 6z)^2 - (5y - 6z)^2
10y(12z)
500
Evaluate [((8/3)^-3)((5/8)^3)]/3
9/125
500
Kyle runs around the track 5 times each morning before school. Two sides of the track are straight lines and the other two are half (semi) circles at each end, as shown in the diagram below. How far does he run each morning in kilometers to 2 decimal points.
5(60(2)+20(2)(Pie 3.14..)=1228.318... meters The answer is 1.23 kilometers!
500
After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce? A. 20 B. 15 C. 8 D. 5 E. 3.2
C If after each bounce it reaches 2/5 of the previous height, then after the second bounce it will reach 2/5 x 125. After the third it will reach 2/5 x 2/5 x 125. After the fourth it will reach 2/5 x 2/5 x 2/5 x 125. This cancels down to 2 x 2 x 2 = 8