Comparing - practice problems
Comparing in mathematics involves determining relationships between quantities using symbols such as = (equal), < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to). Comparison skills include ordering numbers, identifying which quantity is larger or smaller, and understanding equivalence. Techniques vary by number type: whole numbers compare by place value, fractions by finding common denominators or cross-multiplying, and decimals by aligning decimal points. Comparing extends to expressions, functions, rates, and geometric measurements. These skills are fundamental to number sense, inequality solving, and making quantitative decisions in real-world contexts including shopping, measurement, and data analysis.Number of problems found: 598
- A pie 16
A pie is divided into 100 guests. Guest 1 gets 1%, guest 2 gets 2% of what left,... and so on. Who gets the largest piece of pie? - Existence of a triangle
Can the sides of a triangle have lengths 4, 18, and 20? - Triangles - segments
How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm - Quarter of 60 grams
For a science experiment, students need to find 25% of 60 grams. John says " I can find this by calculation 1/4 of 60" Andre says: 25% of 60 means 25/100 times 60. Do you agree with either of them? Show your reasoning - Customer 7
The customer needs a discount of 30% on the marked price. The dealer gives him two successive discounts of 20% and 12%. The discount was: (1) more than he wants (2) same as he wants (3) less than he wants (4) none of these Write the result in numbers 1 to - Four fractions
There are four fractions: 5/8, 7/12, 1/3, and 2/5. Find the difference between the largest and the smallest fraction. - A student 8
A student was asked to write 25 * 9² . By mistake he write 2592. Find the difference. - Telephones
The cost of manufacturing x telephones by Josh Mobiles is given by C = 500 + 45x, and the revenue from selling these are given by R = 65x. How many telephones must be produced and sold in order to realize a profit? - Compare offers
Which is the better offer: Three successive discounts of 10%, 10%, and 30% or Three consecutive discounts of 40%,5%, and 5%? Enter the answer as an A or B letter. - The 5th
The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that a, b, c are in GP. - Income comparing
Arnold's income is 60% more than that of Brandy. By what percent is Brandy's income less than Arnolds's? - Fraction or percent
Which is smaller, 0.3 or 25%? - Closer to one
Here are two sums: A=1/2 + 1/3 and B=1/5 + 1/3. Which of the two sums is closer in value to 1? You must show your work and state clearly whether the answer is A or B. - Multimodal or unimodal
The weights (in kg) of 13 students of a class are 37,39,33,32,41,33,37,45,43,39, 33,40,39 Find the mode & media of this data (F). Is there more than one mode? - Identify improper fraction How do you identify improper fractions? Which is improper: A) 3/4 B) 32/15 C) 3/9 D) 2 2/11
- Percentage and fractions Determine the correct answer by reasoning and calculating mentally. Write 46% as a fraction. ...
- ABCD on a map
Dinesh went from place A to place B and from there to place C. A is 7.5 km from B, and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A, and C is 11.8 km from D. Who traveled more, and by how much? - Proportional relationship 3
Which table below shows a proportional relationship? A. x ; y 3; 12 4; 16 5; 20 6; 24 7; 28 B. x ; y 3; 15 4; 20 5; 25 6; 35 7; 40 C. x ; y 3; 24 4; 32 5; 45 6; 48 7; 56 D. x ; y 3 ; 21 4; 24 5; 35 6; 42 7; 49 - Subtract and compare
1-5/8 is the same as 11/8, true or false? - Janna 2
Janna lives 4 3/10 miles from school. She estimates she travels 4 x 2 x 5 or 40 miles weekly. Is her estimate an overestimate or an underestimate? Explain.
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