(a) 400g g = 1900g of flour (b) 3.045kg kg = 3.410kg (bowl+fruit) (c) 1.85kg 0.14kg = 1.71kg cheese left.

Transcription

1 Measurement Practice Test Question Level 3 Level 4 Level 5 Gladstone School bought 200 cartons of biscuits to sell for fundraising. Each carton contained 15 kg of biscuits. Each packet of biscuits in a carton weighed 250 g. 1 (1000 g = 1 kg). (a) How many kg of biscuits were there to sell? (b) How many packets of biscuits were there? weight capacity 1 Answer 2 Capacity area/ volume (a) kg of biscuits = 15kg 200 = 3000kg (b) 3000kg x 1000 = 3,000,000g in total of biscuits. 3,000,000 / 250g = 12,000 packets. Some of the objects below have a capacity of less than 1 litre some have a capacity of more than 1 litre. Copy each object on to your paper write either less than 1L OR more than 1L. (a) Laundry bucket (b) matchbox (c) rubbish tin (d) coffee cup (e) Jam jar (f) school backpack (g) Fridge (h) coke can (i) bathroom sink (a) A container which weighs 400 grams is filled with 1500 grams of flour. What is the total weight of the filled container? (b) A bowl which weighs 365 grams is filled with kilograms of pears. What is the total weight of the full bowl fruit? (c) A block of cheese weighing 1.85 kilograms has 140 grams cut from it. How much does the block now weigh? (a) 400g g = 1900g of flour (b) 3.045kg kg = 3.410kg (bowl+fruit) (c) 1.85kg 0.14kg = 1.71kg cheese left. 1000cm 3 = 1L 1cm 3 = 1mL (a) A plastic cube measures 2 cm by 2 cm by 2 cm. How many millilitres (ml) of water will it take to fill the cube? [Diagram not drawn to scale]. (b) An ice tray has 10 compartmen ts. Each compartment measures 3 cm by 3 cm by 3 cm. How many millilitres of water will it take Tony wanted to make up some spray for his roses. He followed the directions on the packet, as shown. Rose Spray Contents: 200 grams Directions: 1. Mix three heaped tablespoons of powder into 5 litres of water. 2. Stir thoroughly. One heaped tablespoon = 5 grams (a) How many heaped tablespoons of powder will be in Tony's 200 g packet? (b) How many litres of spray will Tony make from 12 heaped tablespoons of powder? (c) How many full 10 litre buckets of spray could Tony make from this packet? (a) 200g / 5g = 40 heaped tbspns in the packet. (b) 3 tbsp= 5L x4 12 tbsp = 20L (c) One 10L bucket = 6 tbsp 40 tbsp in a packet 6tbsp = 6 2 so, can 3 make 6 full buckets of spray from the packet. The picture shows a crosssection of the Corinth Canal in Greece. The 6.4 km long canal has sloping sides the water is 8 metres deep throughout. (a) What is the area of the cross-section of the canal up to the water-line? (b) What is the total volume of

2 2 Answer 3 Capacity volume 3 4 Weight converting between units (a) more (b) less (c) more (d) less (e) less (f) more (g) more (h) less (I ) more Rick Pam Vicki Sally Harry Rick s glass has 100mL in it. Estimate how many millilitres are in: (a) Pam s glass (b) Vicki s glass (c) Sally s glass (d) Harry s glass. (a) mL (b) mL (c) mL (d) 50mL. Here are some packs of meat with their weights: 0.450kg of BBQ chops; 0.850kg of steak; a 1.2kg Roast lamb; 0.352kg of beef; 0.56kg of sausages. (a) Convert the weights to grams. (b) Which pack of meat is the heaviest? (c) Which pack of meat is closest to 1 kg? Convert the following units: (d) 17.5 litres = ml (e) 1800mm = cm (f) 2.8km = m (g) 355cm = mm to fill the ice tray? (a) 2cm x 2cm x 2cm = 8cm 3 : 8mL (b) 3 x 3 x 3 = 27cm x 27cm 3 = 270mL to fill the ice tray. A mould for home-made ice-blocks has 6 compartments. Each compartment measures 2 cm by 3 cm by 5 cm. [Not drawn to scale]. (a) How many millilitres will it take to fill the mould? (b) How many millilitres will be left from a full 1 litre jug after it has filled the mould? (a) one compartment = 2cmx3cmx5cm = 30cm 3 = 30mL. So, the mould contains 30mLx6 = 180mL. (b) 1L (1000mL) 180mL = 820mL mg = 1 g 1000 g = 1 kg 1000 kg = 1 tonne (a) A bag of potatoes weighs 5 kilograms. How many grams in a 5 kilogram bag of potatoes? (b) How many 5 kg bags of potatoes would be needed to make 1 tonne? (c) A truck which weighs 5000 kilograms can carry 8 tonnes of potatoes. How many kilograms of potatoes can the truck carry? (d) How much does the truck weigh (in water in the 6.4 km long canal? (a) Area (trapezium) = 1 2 (a+b)h = 0.5x(22m+25m)x8m = 188m 2. (b) Volume of water = 188m 2 x 6400m = 1,203,200m 3. (a) Which fish tank(s) would hold 15 litres of water without the tank overflowing? (b) What is the volume of tank Q in cm 3? (c) What is the volume of Tank P in cm 3? (a) 15L = 15,000mL = 15,000cm 3. S R. (b) V = 20cmx12cmx60cm = 14,400cm 3. (c) Vol = 20cmx20cmx30cm = 12,000cm 3. Convert the following measurements; 478mL = L 56.25km = m 92mm = cm 2.14m = mm 0.418kg = g 4.03L = ml 3.05tonnes = kg 890mg = g 0.037kg = g 8025mm = m 250,000cm 3 = m cm 3 = mm 3 5,610L = kl

3 tonnes) when empty? (e) A potato weighs 435 grams. Write this weight (i) in kilograms (ii) in milligrams 4 Answer 5 Area perimeter 5 (a) 450g, 850g, 1200g, 352g, 560g. (b) 1.2kg roast lamb (c) 0.85kg of steak (d) 17500mL (e) 180cm (f) 2800m (g)35.5cm Here are incorrect s three children gave to questions about area perimeter. Write down the mistake that each child made. (a) Sophie said, The perimeter of the book is 30 cm. What was Sophie s mistake? (b) Mike said, The perimeter of the table top is 6 m. What was Mike s mistake? (c) Each square of this pattern is 1 cm 2. Tony said, "The area of the pattern is 20 cm 2." What was Tony's mistake? (a) she did not include the other 2 sides. She just added the measurements shown. (b) He found the area not the perimeter. (c) he found the perimeter. He didn t realise the (a)5000g (b) 1 tonne = 1000kg. 1000kg / 5kg = 200. (c) 8x1000kg = 8000kg of potatoes (d) 5 tonnes (e) (i) 0.435kg (ii) 435,000mg (a) Here is the floor plan of a school hall. What is the perimeter? (b) What is the area (in m 2 )? (a) =156m (b) (15x40)+(37x5)+(10x40)+(5x20)= = 1285m L 56,250m 9.2cm 2140mm 418g 4030mL 3050kg 0.89g 37g 8.025m 0.25m 3 45mm kL What is the area, in hectares, of this school playground (1ha = m 2 )? ha A(top triangle) = 0.5 x 500m x 40m = 10,000m 2 = 1 ha A(rect) = 240m x 500m

4 6 Area volume question was talking about area. = 120,000m 2 (a) Calculate the perimeter the area of this rectangle. (b) Calculate the perimeter the area of this rectangle. Question 6 continued over page Mr Mrs Rowe bought a beach section with a cottage on it. Later the cottage was extended became their permanent home. The remainder of the section was in grass. (a) What was the area of the original cottage? (in m 2 ). (b) When only the cottage was on the section, what was the area of grass to mow? (in m 2 ) (c) What was the total area of the house when the extension was put on? (in m 2 ) (d) What is the perimeter of Rowe's home now? Question 6 continued over page = 12 ha A(side triangle) = 0.5 x 100m x 240m = 12,000m 2. = 1.2 ha Total: 14.2 ha Formulae: Area of circle = pr 2 Volume of cylinder = area of base height Volume of sphere = 4 3 pr3 (level 6) Three perfect spheres, each with a radius of 4 cm, are packaged one on top of the other in a clear plastic tube for export. (a) What is the height of the tube? (in cm) (b) What is the area of the lid of the cylinder? (in cm 2 ) Question 6 continued over page (c) What is the volume of the empty cylinder? (in cm 3 ). (d) What is the volume of one orange? (in cm 3 ) Level 6. (e) What is the volume of air in the cylinder when all 3 oranges are in it? (in cm 3 ) 6 (c) What is the perimeter of this shape? (a) A = 10m x 6m = 60m 2 P = 32m (b) A = 32m 2 P = 24m (c) 32m (a) A = 11m x 7m = 77m 2 (b) A(grass) = (32m x 22m) 77m 2 = 704m 2 77m 2 = 627m 2. (c) A(extension) = (14mx13m) (3mx3m) (a) height = 3 x 8cm = 24cm (b) Area of lid = pr 2 = p 16 = 50.3cm 2. (c) Volume of cylinder = area of base height = 50.3m 2 x 24cm

5 Choose one unit from these: mm km m cm that you would most likely use to measure (a) The length of your h span. (b) The height of a flag pole. (c) The width of your finger nail. (d) The distance to Australia. (e) The thickness of a button. (f) The distance of a train ride. (g) The distance of a school swimming race. = = 173m 2 A(extension + Orig cott) = = 250m 2. (d) = 78m. Chocolate bars are packed in a box as shown. (a) How many bars are in a full box? (b) The measurements of the box are shown on the diagram. i) What is the volume of the box? (in cm 3 ) ii) What is the volume of one bar of chocolate? (in cm 3 ) (d) Volume of sphere = 4 3 pr3 = cm 3. = 4 3 p43 = cm 3. (e) Vol of air = vol of empty container vol of 3 oranges = cm 3 (3 x 268.1cm 3 ) = 402.1cm Small boxes of sweets are packed into a large carton, as shown above. a) How many small boxes of sweets will fit into the carton? b) What is the height of the carton? (in cm) c) What is the width of the carton? (in cm) (a) cm or mm (b) m (c) mm (d) km (e) mm (f) km (g) m (a) 16 (b) 160cm3. Anaru packed three blocks into a cylinder, one block on top of the other. (a) Find the total volume of the three blocks each measuring 4 cm 3 cm 3 cm. (in cm 3 ) (b) Find the volume of the cylinder which has a diameter of 5 cm a height of 9 cm. (c) How much empty space is left around the blocks? a. 3 x 36cm 3 = 108cm 3 b. V = pi x r 2 x h = pi x 2.5cm 2 x 9cm = 176.7cm 3.

6 Boxes of sweets question a) 24 b) 12cm c) 20cm c. 160 / 16 = 10 c cm 3 108cm 3 = 68.7cm 3.