direct proportion 3.1a-3.1c

Question 1

Keith buys 6 pencils for 90p
(a) How much does one pencil cost?
(b) How much would Five pencils cost?
(c) How much would eleven pencils cost?

Answer 1

(a) 15p
(b) 75p
(c)£1.65

Question 2

A car travels 120 miles in 3 hours at a steady speed.
(a) How far does the car travel in 1 hour?
(b) How far does the car travel in 8 hours?

Answer 2

(a) 40 miles
(b) 320 miles

Question 3

use a calc

£50 is worth €56
(a) How many euros is £1 worth?
(b) How many euros is £220 worth?

Question 4

Jake is making scones. look on corbet maths for ingredients.

How much of each ingredient would be needed to make:
(a) 16 scones?
(b) 4 scones?
(c) 24 scones?
(d) 40 scones?

Answer 4

a) 400g flour, 60g caster sugar, 100g butter 280ml milk , 2 eggs
b)100g flour, 15g caster sugar 25g butter , 70ml milk , 1/2 eggs
c) 600g flour , 90g caster sugar , 150g butter , 420ml milk , 3 eggs
d) 1000g flour, 250g caster sugar , 150 g butter ,700ml milk , 5 eggs

Question 5

Timothy is making a Rice Krispie cakes.

A recipe uses 240g of chocolate and 160g of Rice Krispies to make 24 cakes.

A recipe uses 240g of chocolate

(a) Write down the ratio of chocolate to Rice Krispies in its simplest form.
(b) How much Rice Krispies should Timothy use to make 30 cakes?

Answer 5

a) 3.2
b)200g

Question 6

A is directly proportional to B.
When A = 12, B = 3
(a) Find a formula for A in terms of B. (b) FindthevalueofAwhenB=5
(c) FindthevalueofBwhenA=36

Answer 6

(a)𝐴=4𝐵
(b)20
(c)9

Question 7

T is inversely proportional to N.
When T = 30, N = 5.
(a) Find an equation connecting T and N. (b) WorkoutthevalueofTwhenN=10 (c) WorkoutthevalueofNwhenT=25

Answer 7

(a)𝑇= 150/n
(b)15
(c)3750