Maths

Question: Two triangular garden beds each have side lengths of 10 meters, 24 meters, and 26 meters. The second bed is identical but located on the opposite side of the garden. Which congruence criterion can be used to prove that the two triangular garden beds are congruent?(A) SSS(B) ASA(C) RHS(D) SAS Solution: Both triangular garden […]

Question: A school has 200 students. To conduct a survey, the principal randomly selects 50 students. What type of sampling is this?(A) Stratified Sampling(B) Systematic Sampling(C)Simple Random Sampling(D)Cluster Sampling Solution: Selecting 50 students randomly from the entire population of 200 is an example of simple random sampling. ​ 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 triangular prism has a base area of 36 cm² and a height of 10 cm. What is the volume of the prism?(A) 360 cm³(B) 400 cm³(C) 420 cm³(D) 450 cm³ Solution: The volume V of a triangular prism is given by:V=Base Area×HeightGiven the base area is 36 cm²and the height is 10 cm:V=36×10V=360 cm³ ​ Our Social

Question: A factory produces 628.9 liters of a product per hour. If the factory operates for 762.7 hours, how many liters of the product are produced in total?(A) 479,809.63 liters(B) 479,810.03 liters(C) 479,810.63 liters(D) 479,811.00 liters Solution: To find the total liters of the product produced, multiply the production rate by the number of hours:628.9×762.7=479,809.63So,

Question: A regular hexagon has an apothem of 5 cm and a side length of 6 cm. What is the area of the hexagon?(A) 90 cm²(B) 144 cm²(C) 180 cm²(D) 216 cm² Solution: Use the area formula for a regular hexagon:A = 1⁄2 × Perimeter × ApothemCalculate the perimeter:Perimeter=6×Side lengthPerimeter=6×6=36 cmCalculate the area:A = 1⁄2 ×36×5A=18×5A=90 cm² ​

Question: A sphere has a radius of 7 cm. What is the surface area of the sphere?(A) 196π cm²(B) 392π cm²(C) 490π cm²(D) 784π cm² Solution: The surface area 𝐴 of a sphere is given by:A=4πr²Given r=7 cm:A=4π ×7² =4π×49= 196π cm² ​ ​ 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 rectangular prism has dimensions of 4 cm by 5 cm by 6 cm. What is the total surface area of the prism?(A) 94 cm²(B) 120 cm²(C) 148 cm²(D) 188 cm² Solution: Use the formula for the surface area of the rectangular prism:Surface Area=2(lw+lh+wh)Given length l=4 cm, width w=5 cm, and height h=6 cm:Surface Area=2(4×5+4×6+5×6)Surface Area=2(20+24+30)Surface Area=2×74Surface Area=148 cm² ​ ​ Our Social

Question: In a regular hexagon, if each side is 6 cm, what is the length of one of its diagonals that connect two non-adjacent vertices?(A) 6 cm(B) 12 cm(C) 10 cm(D) 15 cm Solution: In a regular hexagon, the length of the diagonal that connects two non-adjacent vertices (skipping one vertex) is equal to twice

Question: If 20 liters of milk cost $30, how much will 25 liters cost?A) $37.50B) $40C) $45D) $50 Solution: Step 1: Find the cost per liter of milk.Cost per liter=30dollars/20liters = 1.5dollars/literStep 2: Use the unitary method to find the cost of 25 liters.Cost of 25 liters=25liters×1.5dollars/liter=37.5dollars ​ 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 8 kg of coffee costs $64, how much will 2 kg cost?A) $12B) $16C) $20D) $24 Solution: Step 1: Find the cost per kg of coffee.Cost per kg=64dollars/8kg = 8 dollars/kgStep 2: Use the unitary method to find the cost of 2 kg.Cost of 2 kg=2kg×8dollars/kg=16dollars ​ ​ Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy