Sarin and the million numbers part 13(Math Question)

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Read posting Sarin and the million numbers and Hairu and the numbers to understand the mathematics concept of numbers. 

Read also posting on Sarin learns concept of ratio in school and Sarin learns the concept of Fraction (mathematics concept) to understand Ratio and Fraction.

Upper primary school mathematics question UPQ68

UPQ68-1.  What is the missing number on the line?

                              108 : _____ = 9 : 8

                          (1) 109         

                          (2) 96   

                          (3) 86   

                         (4) 72

UPQ68-2.   Hairu is 3/8 as old as Sarin. Find the ratio of Sarin’s age to their total age.

                        (1) 3 : 8

                        (2) 8 : 3     

                        (3) 3 : 11   

                        (4) 8 : 11           

UPQ68-3.   The ratio of Hairu’s mass to Sarin’s mass is 7 : 10. If Sarin is 12 kg heavier than Hairu, what is their

                      total mass?

                     (1) 28 kg            

                     (2) 40 kg

                     (3) 67 kg            

                     (4) 68 kg            

UPQ68-4.   Fatimah bought a pizza. She ate 2/5 of it and shared the remaining portion of the pizza equally with

                       her 2 brothers. What fraction of the pizza did each of her brother eat?

Solutions

UPQ68-1.  What is the missing number on the line?

                              108 : _____ = 9 : 8

                          (1) 109         

                         (2) 96   

                         (3) 86   

                        (4) 72

                                 108 = 9 × 12

                                 9 : 8 = 9 × 12 : 8 × 12 = 108 : 96

                                 108 : 96 = 9 : 8

UPQ68-2.   Hairu is 3/8 as old as Sarin. Find the ratio of Sarin’s age to their total age.

                        (1) 3 : 8

                       (2) 8 : 3     

                       (3) 3 : 11   

                      (4) 8 : 11           

 

                                  Their total age = 3 + 8 = 11 units

                                  Sarin’s age  = 8 units

                                  The ratio of Sarin’s age to their total age = 8 : 11

UPQ68-3.   The ratio of Hairu’s mass to Sarin’s mass is 7 : 10. If Sarin is 12 kg heavier than Hairu, what is their

                      total mass?

                     (1) 28 kg            

                     (2) 40 kg

                     (3) 67 kg            

                     (4) 68 kg            

                                  3 units = 12kg

                                  1 unit = 4kg

                                  Total mass = 17 × 4 = 68kg

UPQ68-4.   Fatimah bought a pizza. She ate 2/5 of it and shared the remaining portion of the pizza equally with

                       her 2 brothers. What fraction of the pizza did each of her brother eat?

                            

Each of her brother ate 1/5 fraction of the pizza.

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