Sequences
Write the next three terms of the following sequence
7 10 13 16 19
Make d the subject of
e= d + 5
d= e - 5
Leon throws a biased coin, the probability of getting tails is 0.4.
Work out the probability of getting heads
0.6
Factorise
3y + 15
3(y + 5)
a(a - 9)
a2 - 9a
Can you find the 5th term in the following pattern
77, 49, 36, 18
8
A number sequence has nth term of 6n + 3
Write down the first four terms of this sequence
9, 15, 21, 27
make u the subject of
v = u + 10t
u= v - 10t
Matthew throws 2 darts. Find the probability he hits the bullseye with both darts.
0.3 x 0.3 = 0.09
Factorise
18x + 9
9(2x + 1)
Expand
y(3y + 5)
3y2 + 5y
which two digits do you need to swap to make the solution to this maths problem correct?
571 + 962 = 840
9 and 2
571 + 269= 840
2 9 16 23 30
7n - 5
Given that x + y= 1
what does y equal?
y= 1 - x
A bag contains 600 coloured counters. The counters are yellow, brown or orange.
There are 117 yellow counters in the bag. the probability that a brown counter is chosen from the bag is 0.35.
calculate the number of orange counters in the bag
273
Factorise
27x - 45
9(3x - 5)
Expand
9(2f - 3)
18f - 27
Without reordering any letters, how many animals appear in the sequence below?
PHEASANTORTOISEALION
6
Pheasant, sealion, ant, seal, tortoise and lion
Work out the nth term of the following sequence
10 7 4 1 -2
-3n + 13
make d the subject of
c= 4d + 5
d= c - 5/4
Helen is taking part in a quiz on TV. The probability she answers a question correctly is 0.8.
Helen is asked 2 questions, find the probability she answers both questions correctly.
0.8 x 0.8 = 0.64
Factorise fully
21x + 35y - 14z
7(3x + 5y - 2z)
3(x + 5) + 2(x + 1)
5x + 17
There is one single letter that you can use to replace a letter in each of the words below so the first one becomes a different food, the second one becomes a different body part and the third one becomes a different animal.
What is the letter?
- PEAS
- WAIST
- CAT
R
(PEAR, WRIST, RAT)
Write an expression for the nth term of this sequence
-25 -37 -49 -61
-12n - 13
v = u + 10t
work out the value of v when u= 4 and t= 3
34
List all the outcomes when you roll a fair die and flip a coin at the same time.
H1, H2, H3, H4, H5, H6
T1, T2, T3, T4, T5, T6
Factorise fully
8ap + 12cp - 4p2
4p(2a + 3c - p)
Expand and Simplify
4(x - 1) + 3(2x + 5)
10x + 11
There are two commonly used two-letter words that share the same letters. If you take the opposites of those words you should now have two three-letter words.
What are those new words?
YES and OFF.
the 2 letter words are NO and ON and their opposites are YES and OFF