OxBridge Centre Year 5 Advanced Problem Solving Maths Sample Workbook

Problem Solving 66 =

Advanced

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Decimals Warm Up! A

Write 2 5 as a decimal.

B

What is the total weight of two balls that each weighs 0.12kg?

C

Write the decimals in order, starting from the smallest first.

2.37

0.24

10.25

2.74

D

Write one and nineteen hundredths as a decimal.

E

Circle the bigger one.

12 10

or

0.3

Work Out! A

Bryan bought a piece of gutter pipe that was 1.78m long. He sawed 0.2m off the end and threw it away. Then he cut the rest of the pipe in half to make two same length gutter pipes. How long is one piece of pipe after cutting? Answer in metres.

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B

A CD display cabinet has 4 racks. Each rack is 12.5cm wide. If the thickness of each CD is 10mm, how many CDs, at maximum can you put on the 4 racks?

C

A perfume holds 75cl of liquid. If 0.3cl of perfume is consumed each time you spray it, how many times can you spray the perfume until it is empty?

D

A sweet shop is on a promotional sale. Customers can choose one of the two promotion methods. The first promotion is ‘buy one, get one free’ and the second promotion is to discount £0.30 on every item purchased. If the sweets that Joan wants to buy cost £0.55 each, which promotion is cheaper for Joan when she buys two sweets? Is it the first promotion or the second and by how much?

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E

In an art gallery, the curator organized the exhibition. 10 same sized pictures were displayed on the wall. The curator gave 0.5m gap between each pictures and put 1.5m distance at both edges of the wall. If each frame is 2.8m long, what is the length of the wall? Answer in metres.

Cool Down!

A

One in five children in a class had a packed lunch.

What is this figure as a fraction and a decimal?

B

3 of a coat’s price was deducted. If the new price is 4 £12.50, what was the original price?

C

Amy buys 3 bottles of orange juice that costs £1.27 each. How much is it in total?

D

Faye bought a roll of ribbon that is 11.5m long. She needed 0.45m to wrap a gift box. If she wrapped 22 gift boxes, how many metres of ribbon has she left over?

Answer in centimetres.

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Time Warm Up! A

How many minutes are there between 16:30 and 18:40?

B

If you are twenty minutes late to an appointment at 10:30am, at what time do you arrive?

C

Which is the earliest time?

7am

17:00

7pm

07:07

00:07

D

How many hours are there in a week?

E

What is treble 25 minutes?

F

How many times does the second hand (hand which shows seconds) go round the clock in one hour?

Work Out! A

If Ade wants to get to a party 62 miles away by 6:45pm. What time does she have to leave the house if it takes her 2 minutes every mile to drive there?

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B

School starts at 8:30am. Joe leaves his house at 7:45am to go to school. Charlie leaves at 6:55am to go to the same school. How much longer does Charlie spend travelling each day compared to Joe?

C

Gabriella spends 8 minutes to do a piece of maths homework and spends 12 minutes on her English homework. She has 3 pieces of maths homework and 2 pieces of English homework. How long will she take to finish her homeworks?

D

A watersports centre has a show every 30 minutes. The last show was at 10:45am.

Currently, it is 11:02am. If Charlie hires a speedboat for 12 minutes, will he make it back in time for the next show? How many minutes will he have to wait for the next show to begin after he returns the speedboat?

E

Cara needs to go to the post office after school which finishes at 3:20pm and it takes her 17 minutes on the bus and 15 minutes of more walking to get to the post office. If she spends 12 minutes talking to her friends after school finishes, at what time will she get to the post office?

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F

Tricia is five years old. Her brother is born 2 years after her. Her cousin is born 12 years before her brother. If Tricia is born in 2003, what year was her cousin born?

G

Jasmine’s birthday party is 4 days before Gemma’s. Gemma’s birthday is a fortnight after Chris’. Chris’ birthday is 3 days before Phillip’s. If Phillip’s birthday is on the 21st October, when is Jasmine’s birthday?

H

Felix buys two same cartons of milk. The expiry dates are 27th March for the first carton and 1st April for the second. He takes 10 days to finish 1 carton of milk.

He finishes the first carton before he opens the second one. He opens the first one on 11th March (12th March would be 1 day passed). What date will he finish the second carton? Will it have expired?

I

Rashid races the skateboard with his friend, Jack. Rashid can skate at a speed of 32 mph and Jack skates 8 miles slower than Rashid in an hour. If it is a 8 mile race, how many minutes longer does it take Jack to finish the race compared to Rashid?

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Cool Down!

A

The London Zoo has three pregnant giraffes: Jo, Mo and Bo. Jo is due to give birth on the 14th February. Mo is due on the 11th February and Bo is due on the 28th February. Jo’s baby is late by 3 days. Mo’s baby is late by 1 week and Bo’s baby is early by 10 days. Which giraffe’s baby arrives first? What date is it?

B

Shaniya buys a Taylor Swift album. The first song is 2 minutes long. The second song is 23 seconds longer and the third song is 16 seconds shorter than the first song. How long does it take to listen to all three songs?

C

Paula is planning a road trip around America. She plans to stay for 5 days in Miami, 3 days in Jacksonville and then travel for 21 days up the east coast to New York. If she starts her journey on the 16th July, when will she arrive in New York?

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Shapes and Angles Warm Up! A

How many sides does a hexagon have?

B

Is this statement possible?

“The angles in a triangle are 13o, 27o and 130o.”

C

An octagon is a shape with how many sides?

D

What is the name of a triangle when all of its sides are equal?

E

The number of faces, edges and vertices are the same in both a cube and a cuboid. True or false?

F

This 3D shape has 2 triangular faces and 3 rectangular faces. It has 9 edges and 6 vertices. What is this shape called?

Work Out! A

I am a parallelogram. If one of my angles is 50°, what will be the other three angles?

Hint!

Parallelogram has two equal opposite angles.

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B

Joe has a rectangle paper that is 20cm by 10cm. He cuts it in half from one corner to the opposite corner in a straight line. What type of shape will he get after cutting? Find out the area of each shape.

C

One face of a cube has an area of 81cm2. If you spread the cube into a 2D net, what is the perimeter of the net?

D

Harry plays with the 12 identical right angled triangles. If he puts two triangles together by attaching the diagonal sides, he makes a square. Harry makes them all in to squares and puts the squares side by side to make various shapes. If the area of a square is 9cm2, what will be the biggest possible perimeter he could make?

E

There are 10 pentagon and 5 hexagon cardboards. How many sides in total are there in the 15 shapes? If you cut each of the shapes into two pieces by cutting from corner to corner, how many more sides will you have after cutting all the cardboards?

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F

Which two shapes are joined together to make the figure shown as blow? Circle the correct answer.

a) A pentagon and a triangle b) A quadrilateral and a hexagon c) A triangle and a quadrilateral

a) A triangle and a octagon b) A quadrilateral and a quadrilateral c) A square and a triangle

a) A rectangle and a trapezium b) A hexagon and quadrilateral c) A equilateral triangle and a rhombus

a) A rectangle and an octagon b) A pentagon and a hexagon c) A square and a parallelogram

G

Name the 3D shapes below.

H

If you slice the 3D shapes shown below, which 2D shape will you get?

The measurement is given for you to answer the specific name of the 2D shapes.

2.5cm

3cm

3cm

3cm 5cm

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Cool Down!

A

I have 2 pairs of equal sides, four equal angles of 90°, 2 symmetry lines and 2 rotational symmetries. Who am I?

B

Two angles of a triangle each measure 55° and 70°. Find out the angle of the third angle. What is the name of this triangle?

C

There are some equal size rectangle woods that are each 2m long and 25cm wide.

If the carpenter joins them together to make a big square panel. How many pieces would he use?

D

What is the sum of the interior angles of the pentagon?

Hint!

interior angles of triangle = 180° interior angles of quadrilateral = 360°

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Advanced

Extra Homework

A

Margaret wants to watch the new Batman movie. The film times are 17:38, 18:00 and 18:32. Margaret finishes school at 4:30pm. It takes her 20 minutes to walk home, 40 minutes to have dinner and 15 minutes to get changed out of her uniform. It takes her 23 minutes to get the bus to the cinema. Which movie time should she choose? How many minutes does she have to wait for the movie to start?

B

The price of a car drops by 10% of its value every year. Leah bought the car in 2001 at price A. In 2004, the car costs only ÂŁ14580. How much was the original price (A) when Leah bought it?

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