Numbers
Which of the following numbers are divisible by 2 as well as 9?
315 126 162 306 324 112 686 144
126 , 162, 306, 324, 144
Calculate the area of a rectangle with length 2.75 cm and breadth 4.85 cm.
Area: 13.3374 cm2
Three angles of a triangle are in the ratio 3:2:4. Calculate the measurement of each interior angle of this triangle.
60 degrees
40 degrees
80 degrees
The coefficient of p in −3p is _____.
-3
Using only addition, add eight 8s to get the number 1,000.
888 + 88 + 8 + 8 + 8 = 1,000
(5)2 x (5)-3 =
1/5 OR one-fifth
Convert 2525 cg = _____________ g
25.25 g
Is it possible to construct a triangle ABC in which BC = 6 cm, CA = 5 cm and AB = 4 cm? Justify
Yes. The sum of the two sides of a triangle should be more than the third side. Here for each of the sides it is possible.
Find the term - to - term rule for 32, 14, 5, 1/2, ...
subtract 4 and then divide by 2.
Jake bought a pair of shoes and a shirt, which cost a total of $150. The shoes cost $100 more than the shirt. How much was each item?
The shoes cost $125, the shirt $25.
Anna is a microbiology student. She was doing research on optimum temperature for the survival of different strains of bacteria. Studies showed that bacteria X needs an optimum temperature of -31˚C while bacteria Y needs an optimum temperature of -56˚C. What is the temperature difference?
25˚C
The volume of a cube is 2744 mm3. Calculate its side length.
14 mm.
The supplementary angle of 134 and 3/7 degrees is ________________.
45 and 4/7 degrees
Find the value of p3 + q3 when p = 3 and q = −3.
0
A magic rectangular belt always shrinks its length to 1/2 and width to 1/3 whenever its owner wishes something.
After three such wishes, its surface is now 4 cm2.
What was the original length, if the original width was 9 cm?
The original length of the belt was 96 cm.
96×9 became 48×3, then 24×1, then 12×(1/3)
5/3 (2/15 - 1/12)
1/12
The surface area of a cube is 384 cm2. Calculate its side length.
8 cm.
Which of the following statements is correct?
1) all rectangles are rhombuses
2) all rectangles are squares
3) all squares are rectangles
3) all squares are rectangles
If the length and breadth of a rectangle are 2x + y - 7 and (-4x + 3 - 7y) then find its perimeter.
Perimeter: (-2x - 6y - 4)
A clerk at the butcher shop is six feet tall and wears size 10 shoes. What does he weigh?
He weighs MEAT.
Solve: 100 – 3 x 20 + (-50 – 40) ÷ 2
35
Interior angles of an octagon add upto _____________ degrees.
1080 degrees.
The four angles of a quadrilateral are
110 degrees, 70 degrees, 110 degrees, 14x degrees
Calculate the value of x.
5
Find the nth term rule for 4, 7, 10,....
3n + 1
Grandmother died and left half her money to her granddaughter and half of that amount to her grandson. She left a sixth to her brother, and the remainder, $1,000, to the animal shelter. How much did she leave altogether?
$12,000