Maths

Question: A pattern consists of 10 overlapping decagons arranged symmetrically. How many lines of symmetry does this pattern have?(A) 10(B) 20(C) 30(D) 40 Solution: The pattern with 10 overlapping decagons has 10 lines of symmetry, each passing through the central point and dividing the pattern symmetrically.Therefore, the correct answer is (A) 10. Our Social Media […]

Question: A person takes 5 hours to travel a certain distance at 6 km/h. How much faster must they walk to cover the same distance in 3 hours?a) 8 km/hb) 9 km/hc) 10 km/hd) 12 km/h Solution: Distance traveled:6×5=30 kmNew speed required:30⁄3=10 km/h Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: Two triangular charts each have side lengths of 6 meters, 8 meters, and 10 meters. The second chart is identical but located on the opposite side of the office. Which congruence criterion can be used to prove that the two triangular charts are congruent?(A) SSS(B) ASA(C) RHS(D) SAS Solution: Both triangular charts have identical

Question: In a triangle, one angle measures 50° and another measures 60°.What is the measure of the third angle?A. 60°B. 70°C. 80°D. 90° Solution: The sum of the angles in a triangle is always 180°:Third Angle=180°−50°−60°=70° Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: The ratio of the number of buses to trucks in a transport depot is 7:5. If there are 175 buses, how many trucks are there?(A) 110(B) 120(C) 125(D) 135 Solution: Let the number of buses and trucks be 7x and 5x, respectively. Given that there are 175 buses:7x=175x= 175⁄7 =25The number of trucks:5x=5×25=125 Our

Question: A school has 1,800 students. If 25% of these students are in the art program and 60% of the art program students are working on a special project, how many students are working on the special project?(A) 270(B) 300(C) 320(D) 340 Solution: Calculate the number of students in the art program:25%×1,800=0.25×1,800=450 studentsCalculate the number of

Question: A right triangle has legs of 6 cm and 8 cm. Find the length of the hypotenuse. What is the length of the hypotenuse?(A) 8 cm(B) 10 cm(C) 12 cm(D) 14 cm Solution: The Pythagorean theorem states:c²=a²+b²where c is the hypotenuse. Substitute the values:c²=6²+8²=36+64=100Taking the square root:c=√100=10 cm Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: If 48 kg of bananas cost $120, how much will 20 kg cost?(A) $45(B) $50(C) $55(D) $60 Solution: Step 1: Find the cost per kg of bananas.Cost per kg=120dollars/48kg=2.5dollars/kgStep 2: Use the unitary method to find the cost of 20 kg.Cost of 20 kg=20kg×2.5dollars/kg=50dollars Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: A store sells a jacket for $90 after applying a 10% discount. What was the original price?(a) $95(b) $100(c) $105(d) $110 Solution: Let the original price be 𝑥.Discount = 10% of 𝑥, and the selling price = $90.Selling price = x− 10⁄100× x=90.0.90x=90.x=90/0.90=100. Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: The price of a smartphone increases by 15% from $500. What is the new price?(a) $550(b) $575(c) $580(d) $585 Solution: Increase = 15% of $500 = 15⁄100×500=75.New price = $500 + $75 = $575. Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy