Name : ____________________ Date : _____________
Score : _____________
Write down your correct answer and show your workings:
1) Two sisters, Melissa
and Nicole, started brisk-walking at 6.45a.m. from their house to a nearby
park.
Melissa walked at an average speed of 90m/min while Nicole's average speed
was 60m/min.
After arriving at the park, Melissa rested for 10 minutes and then walked
back home.
If Melissa met Nicole at 7.40 a.m. on her return journey, what was the
distance between their house and the park?
2) A group of people
met at a party. Each person shook hands with everyone else.
Mr Li shook hands with 3 times as many men as women.
Mrs Li shook hands with 4 times as many men as women.
How many men and how many women were there at the party?
3) Uncle Sam paid $5250 for
a plasma television.
He paid the exact amount in $1oo and $50. He gave the cashier 90 notes
in all.
How many of them were $50 notes?
4) Study the number
pattern below.
What is the number in the 100th position?
5) Jennifer bought some sugar
and flour in the ratio 4:7.
After baking some muffins, the ratio of the remaining sugar and flour became
5:6.
1/4 of the sugar and 1.7 kg of flour were used to bake the muffins.
How much sugar did she buy?
Answers:
1)
Time taken by Melissa should be 55-10 = 45 min (after
deducting 10 min rest)
Distance travelled by Melissa should be 90 x 45 min =
4050 m
Hence, 4050 + 3300 =7350
7350/2 = 3675 m (distance between house and park)
2)
3)
100u + (90 x 50) - 50u = 5250
50u + 4500 = 5250
u = 750/50 = 15
Therefore, no. of $50 = 90 - 15 = 75
Explanation:
Let's say Uncle Sam gave the cashier 90 $100 notes. Then he would have given (90x$100) - $5250 = $3750 extra. If he were to exchange some of the $100 notes with $50 notes, how many he would need to exchange would be the answer to how many $50 notes there are.
For example,if he takes back $100 from the cashier and gives the cashier $50,the difference is $50. He has to divide $3750 (the extra money) by the difference of $50 in order to find out how many $50 notes he needs to exchange.
Hence, $3750 divide by $50 = 75.
He has to take back 75 $100 notes and also give the cashier back 75 $50 notes. Since in the beginning we have already assumed that all the notes he gave were $100 notes,the exchanged 75 $50 notes is the answer. (He only exchange 75 notes,remember? So the rest were untouched.)
4)
The sequence is in 3s:
1 2 3, 4 5 6, 7 8 9, ... (POSITION)
2 3 4, 3 4 5, 4 5 6, ...
Number of blocks of 3 between 1 and 100 inclusive = (100
- 1) /3 = 33
The number at the 100th position should be = 33 + 2 =
35
5)
4:7
20:35 (Mutiplying by 5)
1/4 of 20 is 5. So remaining is 20-5 =15.
15 ==> 5. So 6 units is 18.
So 35-18 = 17
17 units==>1.7kg
So 1 unit is 100 g.
20*100 = 2000.
The answer is 2 kg.