Whole Number P6 2010 SA2 Red Swastika P1 MCQ

7In a group of 36 students, the number of students who like sushi is thrice the number of students who like nuggets. If 2 students like neither sushi nor nuggets and 6 students like both, how many students like nuggets ? [2 marks]

(1) 13

(2) 10

(3) 3

(4) 7
 
 
 
S  [ 6 ][      ][             ][              ]  ]
N [ 6 ][      ]                                   ] 36 + 6
    [2]                                             ]
 
4 u --> 36 + 6 - 2 = 40

N: 1u --> 40/4 = 10 students       (2)

Whole Number P6 2010 SA2 Red Swastika P2 Q 8

Raju and Gywneth shared some sweets. If Raju gave 1/2 of his share to Gywneth, Gywneth will have 8 more sweets from Raju. If Raju gave 1/4 of his share to Gywneth, Gywneth would have 2 more sweets than Raju. How many sweets did Raju have at first ? [Ans 12]


R [       ][       ]
G [       ][8]

G --> 8
                  |2|
R [  ][  ][  ][  ]
G [  ][   8     ]

2 u --> 8 - 2 = 6

4 u --> 4/2 x 6 = 12 sweets

It was 12 sweets.

Whole number P6 2010 SA2 Red Swastika P2 Q17

A cashier had 181 pieces of $2 and $50 notes in her cash register. She took out 5/8 of the $50 notes and put in another eleven $2 notes. As a result, the number of the $2 notes was eight times the number of the $50 notes. What was the total value of her $2 and $50 notes in her cash register at first? [5 marks][Answer given: $2666]


     $2                       $50
-----------------------------
181 - 8 u                  8 u
+ 11                       - 5 u
-----------------------------
192 - 8 u                  3 u
    8              :            1
-----------------------------

192 - 8 u --> 8 x 3 u = 24 u
32 u --> 192
1 u --> 192/32 = 6

8 u --> 8 x 6 = 48

48 x 50 = $2400

181 - 48 = 133

133 x 2 = $266

2400 + 266 = $2666

It was $2666.