Notifications
Clear all
Topic starter
- Find the possible value(s) of $\sqrt{(\sqrt{0.0081}+\sqrt{0.0001}+\sqrt{0.81})}.$
A. 1
B. -1
C. Both 1 and -1
D. Decimal numbers do not have square roots
E. â0.019 - If 5 is added to the numerator and denominator of the fraction $\frac{6}{11}$, how will the value of the fraction change?
A. No change
B. Increase
C. Decrease
D. It increases by $\frac{11}{16}$
E. The fraction evaluates to 1 - If a mother makes đĽ cakes in 2 hours and đŚ pizzas in 3 hours, how many cakes and pizzas altogether does she make in 6 hours? Assume she is making both together and that she works just as fast as if she made them separately.
A. $6(\frac{x}{2}+\frac{y}{3})$
B. $6(\frac{y}{2}+\frac{x}{3})$
C. $6(2x+3y)$
D. $6(3x+2y)$
E. 30 - Sasha wants to fit an image into a box on her computer screen. Her original image was $1\frac{1}{2}$ inches wide and $2\frac{1}{4}$ inches tall. Her computer screen box is 4 inches wide. She needs to adjust the box on her computer screen. How tall does the computer screen box need to be for her to fit the image exactly and snugly into the box, without squishing or stretching the image? The choices shown are in inches.
A. $\frac{9}{32}$
B. $\frac{27}{32}$
C. 6
D. $4\frac{3}{4}$
E. $2\frac{1}{2}$ - I have a set of four numbers đ,đ, đ
, đ in ascending order. The average of đ, đ, and đ
is 22, and the average of đ, đ
, and đ is 24. The largest number is 27. Then, the smallest number in this set:
A. is prime
B. is a multiple of 9
C. is a multiple of 11
D. is a multiple of 7
E. cannot be determined with this information - The difference in the place values of the numeral 7 in the largest and the smallest numbers formed using 3, 4, 5, 6, 7 (each digit is used once and exactly once) is
A. 69,993
B. 41,976
C. 76,536
D. 9,999
E. 70 - Assume that all sections within each of the given shapes are the same size. Consider only the area represented by the flower, the circle, etc. without including any surrounding area around it. Which fraction below represents the fraction of the shaded part of any shape in the simplest form?
A. $\frac{6}{13}$
B. $\frac{4}{10}$
C. $\frac{1}{4}$
D. $\frac{2}{3}$
E. $\frac{1}{2}$ - A tessellation is a set of figures that can cover a plane without overlapping or leaving any gaps. Tessellations with triangles would look like the following:
You can continue in the horizontal and vertical directions infinitely to place more such triangles to form larger such tightly fitted spaces with no gaps or overlaps. Consider three identical regular pentagons. In how many ways can 3 such pentagons be arranged so that they form a tessellation?
A. Zero
B. One
C. Two
D. Four
E. Infinite - Look at the following graph. Which of the following sections of the graph have the highest rate of change?
A. đ´ to đľ
B. đľ to đś
C. đ´ to đś
D. đˇ to đ¸
E. đ¸ to F - A paper is folded as shown below and punched in its folded state. When the paper is opened out again, what will be the pattern of holes formed?
- Which of the following Venn diagrams represents soccer players, high school Math enthusiasts, and students?
- 40 people are in a movie theatre which offers two snack options â popcorns and chips. 26 people like popcorns but they do not like chips. 32 students like popcorns. Everyone in the theatre likes at least one of the two snack options. Find the number of people who like both.
A. 6
B. 8
C. 32
D. 40
E. Indeterminate - The surface areas of the two spheres are in the ratio 4: 9. Find the ratio of their volumes.
A. 2: 3
B. 16: 31
C. 3: 2
D. 4: 9
E. 8: 27 - How many three-digit natural numbers are divisible by 7?
A. 141
B. 142
C. 143
D. 128
E. 129 - A lattice point is a point in a Cartesian coordinate system such that both its $x$- and $y$-coordinates are integers. How many lattice points are there in a line with (2,4), (3,6)?
A. 12
B. 6
C. 1
D. 2
E. Infinitely many - Suppose you have a number with 2021 digits. Let đ be its sum of digits. Let đ be the sum of the digits of đ. Let đ be the sum of the digits of đ. (Assume simple addition but not digital sum or recursive sum.) Find the largest value of đ.
- Given
where đ´, đľ, đ, đ, đ are unique positive single-digit numbers, what is the number of possible combinations for đ and đ to satisfy this equation? - A steel cuboid is reshaped into a cube. Initially, its length, breadth, and depth were 270 cm, 100 cm, and 64 cm respectively. Find the sum of digits of the surface area of the cube.
- If (3đĽ â 4) âś (đŚ + 15) is a fixed ratio and if đĽ = $\frac{7}{3}$, then đŚ = 12. Find the value of đĽ + đŚ when đĽ = 2.
- What is the sum of prime numbers between 2000 and 2021?
- A lattice point is a point in a Cartesian coordinate system such that both its $x$- and $y$-coordinates are integers. A point lattice is constructed by plotting all of the points $(a,b)$ such that $a$ and $b$ are positive integers. How many points in the point lattice lie on the line đŚ = â4đĽ + 8?
- Several people were surveyed for their preference from 4 drinks đ´, đľ, đś, đˇ. All the people surveyed are represented in the graph below. If the fraction of people who preferred đ´ is $\frac{đ}{đ}$, find đ + đ.
- How many three-digit natural numbers âđâ can there be such that all the three conditions given below are satisfied:
Condition 1: đ â 14 is divisible by 7,
Condition 2: đ â 24 is divisible by 8, and
Condition 3: đ â 36 is divisible by 9. - Simplify and round off to the nearest whole number: $$\frac{16}{\sqrt{14}+\sqrt{10}}-\frac{58}{3\sqrt{5}-4}+\sqrt{180}+\sqrt{160}$$
- Use all 9 digits exactly once - 1, 2, 3, 4, 5, 6, 7, 8, 9, as numerator and denominator, create a fraction equalling $\frac{1}{3}$ (one third). The digits in the numerator and denominator should together have all the 9 digits shown here. What is the numerator?
Posted : 19/06/2026 4:29 am
