WK3-Y5-MATH-TT

A flower shop only sells roses, lilies, tulips, and freesias.

Of the flowers that the flower shop is selling on a certain day, 1/2 are roses, 1/7 are lilies, 1/4 are tulips, and the remainder are freesias.

If the combined number of tulips and freesias the flower shop sells that day is 40,
what is the total number of flowers that the flower shop is selling that day?

Ron and Harry each have a collection of magical berries.

If Ron would give Harry 5 of his magical berries, and in return, Harry would give
Ron 2 of his magical berries, then Ron would have 22 more magical berries than
Harry.

If the two of them have a total of 120 magical berries, how many magical berries
does Harry have before making the exchange?

Working alone at a constant rate, David can paint 12 flower boxes in 6 hours.

Working together at their respective constant rates, David and Tom can paint 18
flower boxes in 3 hours.

Working alone at his constant rate, how many hours would it take Tom to paint 12
flower boxes?

The initial price of a share of a certain stock is p dollars.

If the price of a share of that stock doubles each week for 4 weeks, triples a week
later after that, and finally quadruples a week after that, which of the following
represents the price of a share of that stock at the end of the period, in terms of
p?

A rectangular water tank with dimensions 9 metres by 4 metres by 3 metres is
filled with water.

All the water in the tank is poured into a cubic container with an edge of 6
metres.

If the water does not overflow from the container, how high will the water reach?

Frank was 8 years old 4 years ago.
How old will Frank be 3 years from now?

The top speed of the latest model of a spaceship is 25 000 metres per second.

What is the top speed of the latest model of the spaceship in kilometres per
hour? (1 kilometre = 1 000 metres)

Machine A labels 2 jars per minute starting at 3:05 PM.

Machine B labels 5 jars per minute starting at 3:23 PM.

If Mina needs to label a total of 400 jars, at what time will the two machines finish
labelling 400 jars?

Ten marbles are added into an empty box every two minutes, and 20 marbles are
added into the same box every three minutes.

However, 40 marbles are removed from the same box every five minutes.

How many marbles are in the box after 11 minutes?

A biker is travelling from Town A to Town B such that the distance that he bikes
each day is half the distance he travelled the day before.

If the distance between Town A and Town B is 14 kilometres, how many
kilometres must the biker travel on the first day to reach Town B in 3 days?

During a two-month period, the price of a refrigerator increased by 15 percent by
the end of the first month and then decreased by 10 percent by the end of the
second month.

The price of a refrigerator at the end of the two-month period is what percent the
price of a refrigerator at the beginning of the two-month period?

Shane, Patrick. Quill, and Robert love collecting stamps.
Patrick has twice as many stamps as Shane.
Quill has 60 more stamps than Patrick.
Robert has 20 percent more stamps than Quill.

If the four of them have a total of 576 stamps, how many stamps does Patrick
have?

If 56 people signed up as volunteers for the coming charity event, which of the
following is a possible ratio of men to women who signed up?

Of all the tourists at Sydney Harbour today, 20 percent are Americans.

If 40 percent of the tourists are male and 25 percent of the male tourists are
Americans, what percent of the tourists at Sydney Harbour today are
non-American female tourists?

In the figure above, a square hole was cut in the centre of a square piece of
green paper.

If the area of the piece of green paper was 100 square centimetres before the
hole was cut, what was the area of the remainder of the piece of green paper
after the hole was cut?

Bananas are sold in baskets of 100 pieces for $12, in boxes of 50 pieces for $8,
or at 25 cents per piece.

What is the greatest number of pieces of banana that can be purchased for
$57.75?

A box contains gold, silver, and copper balls only.

Each gold ball is worth 11 points, each silver ball is worth 5 points, and each
copper ball is worth 3 points.

During a turn, a player can select up to 10 balls at random from the box, and the
player’s score for the turn is found by taking the product of the point values of
each ball selected.

If Gene’s score for a turn is 12 375 points, how many balls did he select from the
box?

A bag contains orange-flavoured and lemon-flavoured candies only.

The number of orange-flavoured candies is five times the number of
lemon-flavoured candies.

What is the ratio of the lemon-flavoured candies to all the candies in the bag?

One machine, working at a constant rate, can make 10 widgets every 5/3 hours. 

How many such machines, each working at the same constant rate, are needed
to make 252 widgets in 3 hours?

The ant walks 4 centimetres per second, which is half as fast as the beetle walks.

If the lizard walks twice as fast as the beetle, how far will the lizard walk in one
minute?

If P + Q = 24, what is the average (arithmetic mean) of P, Q, and 24?

What is the value of 5(18 ÷ 6 + 3) – 2(4 + 1 × 5)?

In a certain newspaper agency, the ratio of the number of editors to the number
of writers is 3 to 13.

When 12 more writers are hired, the ratio of the number of editors to the number
of writers changes to 3 to 16.

How many editors does the newspaper agency have?

In the figure above, the area of triangle ABD is 48 square centimetres.
What is the area of triangle ACD?

Working together, Amy and Beth can finish making 100 baskets in 6 hours.

If Amy had been working alone, she could have finished making 100 baskets in
10 hours.

How many hours will it take Beth to finish making 100 baskets if she works
alone?

Black Stallion Company has 2 female employees for every 5 male employees.

The average monthly salary of all the female employees is $12,400 and Black
Stallion Company pays $297,600 in salary each month for all the female
employees.

How many male employees does Black Stallion Company have?

The average (arithmetic mean) of P, Q, and R is 34.

If the average of Q and R is 33, what is the value of P?

During a two-month period, the water level in the dam decreased by 20 percent
by the end of the first month and increased by 10 percent by the end of the
second month.

If the water level in the dam at the start of the two-month period was 250 metres,
what was the water level in the dam at the end of the two-month period?

The perimeter of a rectangle is 54 metres.

If the shorter side of the rectangle is 3 metres shorter than the longer side, what
is the area of the rectangle?

The numbers in the grid below follow a pattern.

What is the value of P – Q?

In the figure below, the area of the trapezoid is equal to the area of the
parallelogram.

What is the value of s?

John was scheduled for a trip on Wednesday, March 1.

However, due to unforeseen circumstances, his trip was postponed 48 days later.

On what day of the week in April will his trip be?

Kali bought a basket of strawberries.

He used 4 percent of the strawberries on a strawberry shortcake he baked, and
80 percent of the remaining strawberries to make jams.

He was left with 96 strawberries.

How many strawberries were in the basket he bought?

Philip is 10 years older than Jake today.

Five years ago, Philip was twice as old as Jake.

How old is Jake today?

Three different machines, A, B, and C, can print 60 pictures in 30 minutes, 45
minutes, and 50 minutes, respectively.

How many pictures could the two fastest machines print in 2 hours?