The Prime Suspects
This number is the greatest factor of both 12 and 18.
6
Solve for y:
6y−11=2y+21
8
−12+5−(−8)
1
Simplify the ratio
18:24
3 : 4
The angles in a triangle are 50° and 60°. What is the third angle?
70°
Find the smallest number that both 8 and 10 divide into evenly.
40
Solve for y:
3(y−4)+2=2(y+5)
20
−3(7−10)
9
Simplify the ratio:
0.8:1.2
2:3
A quadrilateral has angles 90°, 90°, 80°, and x. Find x.
100°
This prime number is a factor of 42, 56, and 70.
7
5(2y−3)−4(y+1)=3y+7
10
−6[2−(−5)]+4
- 38
A recipe uses flour and sugar in a ratio of 4:3. If you use 28 cups of flour, how many cups of sugar are needed?
21 cups
In a triangle, two angles are equal. The third angle is 40°. What is each of the equal angles?
70 degrees
A number is divisible by both 3 and 5. It is greater than 40 but less than 50.
45
Solve for y"
(3y - 2)/5 = (y + 6)/2
34
-18 : 3 + (-4)^2
10
A train travels 180 km in 3 hours, then 120 km in 2 hours. What is its average speed for the entire trip?
60 km/hr
A straight line segment is bisected by another line at a point P. The angle formed between one of the rays and the segment is 30∘.Find the measures of all four angles formed at point P.
30∘,150∘,30∘,150∘
Two alarm clocks ring every 12 minutes and every 18 minutes. This is the first time they will ring together again after starting at the same time.
36
Solve:
(2y-1)/3 + (3y-4)/5 = y
y = 4 1/4
−8+3[−2(4−7)]−6
4
A car travels 120 km in 3 hours. It then increases its speed by 50% for the return journey over the same distance.
What is the total time for the round trip?
5 hours
A triangle has angles in the ratio 2:3:4. Find all three angles.
40°, 60°, and 80°