WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate November 2018 question paper 3300U40-1

Circle either TRUE or FALSE for each statement given below.

Choose any number.

Show that of 25% of your number = of 20% of your number.

Factorise the following.

6x – 15

y² + 4y

The nth term of a sequence is given by 3n – 20.

What is the value of the 6th term?

Consider the following statement.

‘There are no odd numbers greater than 50 in this sequence.’

Show that this statement is incorrect.

Two fair spinners are divided into quarters as shown below.

One spinner shows the values 10, 20, 30 and 40. The other spinner shows the values 1, 2, 3 and 4.

The two spinners are spun and the values shown are added together to form a number. For example, the diagram above would form the number 31.

Consider all the possible numbers that can be formed. Calculate the probability that the spinners will form a number that is a multiple of 7.

You must show all your working in order to justify your answer.

Convert an area of 4 m² into cm². (b)

ABCE is a square.

Calculate the area of the shape ABCDE shown below.

A number is decreased by 12% of its value. This is done 3 times, each time decreasing the previous value by 12%.

Circle the multiplier that you would use to find the value after the 3 decreases.

Calculate the percentage change when 42.5 is increased to 45.9. (b)

Display the following information in a Venn diagram.

• Universal Set (ε): Integers between 74 and 80 inclusive.

• Set A: Even numbers.

• Set B: Multiples of 3.

The table below shows some of the values of y = x² + 4x − 1 for values of x from –5 to 2.

Complete the table by finding the value of y for x = –2 and for x = 2.

On the graph paper opposite, draw the graph of y = x² + 4x − 1 for values of x from

–5 to 2.

Jonathan writes a whole number on a card.

• The number is between 55 and 83 inclusive.

• The square root of the number is greater than 8 but less than 9.

• The highest common factor (HCF) of 49 and the number is 7.

What number is on Jonathan’s card?

The number on Jonathan’s card is_{………........ ……………..}

A solution of the equation

lies between 5 and 6.

Use the method of trial and improvement to find this solution correct to 1 decimal place.

You must show all your working.

What is the gradient of the straight line with equation 6 y = 3 x + 7 ?

Circle the correct answer.

What is the value of y at the point where the line 5x + y + 3 = 0 crosses the y-axis?

Circle the correct answer.

What are the coordinates of the point where the lines with equations x + y = 7 and x − y = 3 intersect?

Circle the correct answer.

(4, 3)
(7, 4)
(5, 2)
(3, 7)
(−5, 2)

Alwena regularly travels from Anglesey to Cardiff to attend meetings.

For each meeting, she chooses one of three ways to travel: by plane, train or car. The probability of a meeting being held on a Saturday is 0.08. The probability that Alwena travels by plane to a meeting is 0.15. The probability that she travels by train is 0.45. Her decision on how to travel is independent of the day on which the meeting is held.

Complete the following tree diagram.

A meeting is chosen at random. Calculate the probability that the meeting is held on a Saturday and that Alwena travels

by plane or by car.

Calculate the size of angle x.

Calculate the length AQ.