Numbers
Identify the number of significant figures in the number 0.006606
4 significant figures
6,6,0, and 6
360 millimeters = _______ meters
0.36 meters
A kite (geometric shape) has a rotational symmetry of order _______
1
Solve for x.
3x2 - 10 = 137
x = 7
Jagdish and Vishnu are playing cards for a stake of Re.1 a game. At the end of the evening, Jagdish has won 3 games and Vishnu has won Rs.3. How many games did they play?
They played total of 9 games. Jagdish won 3 games and Vishnu won 6 games.
If Jagdish has won three games and Vishnu has won Rs.3, he lost a rupee for each loss, therefore he has won 6 and lost 3 to make Rs.3 and won the other 3 that he lost!
3/5 - 1/2 *1/3 =
13/30
The surface area of a cube is 433.5 mm2. Calculate the length of one side of the cube.
8.5 mm
Find the mid-point of the line segment with endpoints A (5, 7) and B (-10, 6).
MP (x, y) = (-2.5, 6.5)
Find the nth-term rule for the sequence
9, 5, 1, -3, -7
13 - 4n OR -4n + 13
Using only addition, add eight 8s to get the number 1,000.
888 + 88 + 8 + 8 + 8 = 1000
Simplify/Evaluate:
(3/4)-3 =
64/27
Arrange the following in ascending order:
34 kg, 567 g, 6.3 kg, 0.46 kg, 23.65 g
23.65 g, 0.46 kg, 567 g, 6.3 kg, 34 kg
Calculate the sum total of angles in a 15-sided polygon.
2340
Factorise:
25x2 - 49
(5x)2 - (7)2
Find the wrong term in the series: 5, 27, 61, 122, 213, 340, 509
The terms of series are 23-3 , 33-3 , 43-3 , 53-3 , 63-3 .... and so on.
So 27 is the wrong term which should be replaced by 33-3 = 24
Compare the ratios 3 : 5 and 2 : 11.
3 : 5 > 2: 11
In a trapezoidal prism, the height of the trapezoid face is 10 cm and the lengths of the parallel sides are 12 cm and 15 cm. If the trapezoidal prism is 13 cm long, calculate the volume of the prism.
1625 cm3
Calculate the supplementary angle of 1013/7.
784/7
Two numbers are in the ratio 3 : 2. If 2 is added to the first and 6 is added to the second number, they are in the ratio 4 : 5. Find the numbers.
Thus, the numbers are 6 and 4.
Can you write the biggest number that can be written with two 1's and two 0's?
People often think of the number 1100 as the biggest number that can be written with two 1’s and two 0's.
But there is a number many, many times greater than this number, namely: 1010
In fact, 1010 is almost ten million times greater than 1100.
Find the compound interest on $5000 for 3 years at 8% per annum, compounded annually.
$1298.56
If the area of a circle is 154 cm2, then find the radius of the circle.
The radius of the circle = 7 cm.
The captain is on a geo-cache hunt. His GPS is showing him that he is 40 m away from the treasure. From his original position, he walks 24 m in the West direction. Now, his GPS is showing that the treasure is due South from where he is standing. How far South does he need to go to find the treasure?
32 m
If a line has a slope of 5, what is the slope of a line parallel to it? What is the slope of a line perpendicular to it?
For a line parallel to it, the slope is also 5. For a line perpendicular to it, the slope is -1/5 (the negative reciprocal).
3 shots can be fired from an air gun at a time. If the probabilities of the first, second and the last shot hitting the enemy helicopter are 0.6, 0.5 and 0.4, what is the probability that three shots aimed at the enemy helicopter will bring the helicopter down?
The enemy helicopter will be brought down even if one of the three shots hits the helicopter. The opposite of this situation is that none of the three shots hit the helicopter. The probability that none of the 3 shots hit the helicopter is given by:
(1-0.6)*(1-0.5)*(1-0.4) = 0.4*0.5*0.6 = 0.12.
So, the probability that at least one of the 3 shots hit the helicopter = 1 – 0.12 = 0.88