For Fiorina

1. Mrs Ong is 45 years old. Her niece is 30 years younger than she is. In how may years' time will Mrs Ong be twice as old as her niece?

2. There were 1240 pupils in School A and 20% more pupils in School B. When an equal number of pupils left each school, the ratio of the number of pupils in School B to that of School A became 5:4. How many pupils were there in School B in the end?

3. Ben's age is 1/3 that of Tom's. In 9 years' time, his age will be 2/3 that of Tom's. How old is Ben now?

4. The ratio of John's age to Ryan's age is 3:1 now. 25 years later, the ratio will become 4:3. How old is John now?

5. Mr Lim had 50% as much money as Mr Ibrahim. After they each spent $200 on a DVD player, Mr Lim had 1/3 as much money as Mr Ibrahim. Find the sum of money Mr Lim had at first.

6. There were 40% as many adults as children on a bus. After 8 children and 8 adults boarded the bus, there were twice as many children as adults. How many adults were on the bus at first?

7. There were 1518 boys and girls in a room. When 2/3 of the boys and 1/5 of the girls left the room, there were twice as many girls as boys remained in the room.

(a) How many girls were there at first?

(b) How many boys were there at first?

8. There were some red, blue and green rubber bands in a box. 2/5 of the rubber bands in the box were red. There were 24 more blue than red rubber bands and 40 green rubber bands. How many rubber bands were there altogether?

9. Jason had a sum of money. He spent an equal amount of money each day. After 6 days, he had 3/5 of his money left. 3 days later, he had $360 left. What was the sum of money he had at first?

10. There were 156 men and women at a party. 1/6 of the men and 24 women left the party. There was an equal number of men and women at the party.

(a) How many men were at the party in the beginning?

(b) How many women were at the party in the beginning?

11. Sam, Jeff and Tom have some money. Sam and Jeff have $150 altogether. If Sam receives $30 more from his mother and Tom receives from his mother 2/3 of what Jeff has, they will have an equal amount of money.

(a) How much money does Sam have at first?

(b) How much money does Tom have at first?

Emotions (to be tested in Jan'13)

Fear

I stood rooted to the ground. My legs turned wobbly and I could not move even an inch. A cold chill ran through my body, sending beads of cold perspiration down my spine. With quivering lips, I muttered in an edgy voice, “What could that be?” Fear engulfed me. My heart thumped. I could feel it coming out from my mouth. I could no longer contain my cowardice and broke into tears.

Anger

I clenched my fists tightly, piercing each fingernail into my palms. I bit my lips and took a deep breath. It was of no use. The raging fury in me gushed out through my mouth, “Put that down!” I could no longer contain my temper. Anger engulfed me, taking away all composure I had. Nothing could put out the wild fire in my chest.

Joy

My eyes glittered in bliss. I was riding on cloud nine, making my way to the top of the world. I had never felt better. I was overwhelmed with euphoria. It was so much excitement that I could not contain my joy anymore. The smile on my face extended and I was grinning from ear to ear. I boasted in glee, “What else can I ask for?” Tears of joy welled up in my eyes.

Sorrow

I had not expected it. Sadness had taken over every part of me. It felt like a dagger stabbing right into my heart. Deep grief engulfed me. Tears of sorrow welled up in my eyes. I tried to hold back the beads of helplessness, but to no avail. Nothing else could seep into my dark world, except for, “Why?” There were no answers and only questions echoed in my vacuumed mind.

Embarrassment

I flushed. “Does anyone have a paper bag to spare?” I mumbled in complete embarrassment. How I wished I could hide myself somewhere to save all this humiliation. Even if it were just a paper bag, it would suffice. Beads of cold perspiration gathered at my forehead. I had never felt worse. Little did I expect myself to be caught in such a situation.

Regret/Guilt

All I needed was a second chance to undo the wrong deed. “Look before you leap, child.” My mother’s advice fell on my deaf ears. My heart ached. It felt like I had just stabbed myself with a dagger. I had only myself to blame and no one would bother to nurse the aching heart of a wrongdoer. Tears of guilt and remorse trickled down my sunken cheeks. I truly regretted my foolish act.

P6 Problem Sums (Dec’12)

P6 Problem Sums (Dec’12)
 1. Tammy and Sally shared some money in the ratio 4:3. If Tammy gave $150 to Sally, they would have the same amount of money. How much money did they have altogether?

 2. The ratio of the number of teddy bears Mei Mei had to that of the number Jane had was 3:7. Jane had 24 more teddy bears than Mei Mei. Jane gave some teddy bears to Mei Mei and the ratio of Mei Mei’s teddy bears to Jane’s teddy bears became 5:7. How many teddy bears did Jane give to Mei Mei?

3. Last year, the ratio of the number of boys to the number of girls in the Speech and Drama Club was 1:2. This year, 170 members joined the club. There are now 5 times as many boys and 4 times as many girls as last year. How many members were there in the Speech and Drama Club last year?

 4. Five friends met at a reunion dinner. Each friend hugged each of the other friends just once. How many hugs were exchanged in all?

 5. There were 78 three-legged and four-legged stools in Carpenter Calvin’s storeroom. There were 259 legs in all. Find the number of three-legged stools and four-legged stools.

 6. There are 250 bicycles and cars in the car park. There are a total of 936 wheels. How many cars and how many bicycles are there in the car park?

 7. Mrs Li sold 18 watermelons and 26 honeydews. She collected $160 from the sale. The selling price of a honeydew is one-third that of the selling price of a watermelon. How much did Mrs Li sell for each honeydew and for each watermelon?

 8. Bob and Carl have some sweets each. If Bob eats 5 sweets each day and Carl eats 10 sweets each day, Bob will have 46 sweets left when Carl finishes all of his. If Bob eats 10 sweets each day and Carl eats 5 sweets each day, Bob will have only 1 sweet left when Carl finishes all his sweets. How many sweets does each boy have?

 9. Ming and Ling have some Mathematics problems to solve. If Ming can solve 6 questions each hour and Ling can solve only 3 each hour, Ling has 21 questions left when Ming completes his. If Ming can solve 4 questions each hour and Ling can solve 8 questions each hour, Ling has 3 questions left when Ming solves all his problems. How many Mathematics problems does each of them need to solve?

 10. Sally and Sandy sell toys. If Sally sells 30 toys each week and Sandy sells 90 toys each week, Sally will have 237 toys left unsold when Sandy has sold all her toys. If Sandy sells only 15 toys each week and Sally still sells 30 toys each week, Sally will have 87 toys left unsold when Sandy has sold all of hers. How many toys does each of them have?